Bibliography for Series Solutions and Frobenius Method

Return to Numerical Methods - Numerical Analysis

 

  1. The Frobenius power series solution for cylindrically anisotropic radially inhomogeneous elastic materials
    Shuvalov, A. L.
    Quarterly Journal of Mechanics and Applied Mathematics, 2003, vol. 56, no. 3, pp. 327-346, Ingenta.
  2. On a two-point boundary value problem for the second order ordinary differential equations with singularities
    Lomtatidze, A.; Malaguti, L.  
    Nonlinear Analysis, Theory, Methods and Applications, v 52, n 6, June, 2003, p 1553-1567, Compendex.
  3. An algorithmic approach to exact power series solutions of second order linear homogeneous differential equations with polynomial coefficients.  
    Kiymaz, Onur; Mirasyediouglu, Seref
    Appl. Math. Comput.  139  (2003),  no. 1, 165--178, MathSciNet.  
  4. Series solutions of coupled differential equations with one regular singular point
    Tomantschger, K.W.   
    Journal of Computational and Applied Mathematics, v 140, n 1-2, Mar 1, 2002, p 773-783, Compendex.
  5. Formal Solutions of Linear Ordinary Differential Equations Containing m-Hypergeometric Series
    Ryabenko A.A.
    Programming and Computer Software, March 2002, vol. 28, no. 2, pp. 92-101(10)
    , Ingenta.
  6. Construction of a General Solution of a Degenerate Linear System of Differential Equations with Irregular Singular Point
    Yakovets, V. P.; Shepel, O. A.
    Nonlinear Oscillations, 2002, vol. 5, no. 4, pp. 557-574, Ingenta.
  7. Negative power series solutions for a class of linear ordinary differential equations using N-fractional method.
    Alawneh, Ahmed; Odibat, Zaid; Nishimoto, Katsuyuki
    J. Fract. Calc. 21 (2002), 29--37, MathSciNet.  
  8. Analytic solutions of a second-order iterative functional differential equation
    Si J.-G.; Wang X.-P.
    Computers and Mathematics with Applications, January 2002, vol. 43, no. 1, pp. 81-90
    , Ingenta.
  9. On The Asymptotic Expansions Of Numerical Solutions To Second Order Differential Equations With A Regular Singular Point  
    Weiss, R.; de Hoog, F. R.; Anderssen, R. S.
    Mathematical Models and Methods in Applied Sciences, 2001, vol. 11, no. 1, pp. 163-178, Ingenta.
  10. Frobenius-Chebyshev polynomial approximations with a priori error bounds for nonlinear initial value differential problems
    Chen, B.; Bolos, R. Garcia; Jodar, L.
    Computers and Mathematics with Applications, v 41, n 3-4, Feb, 2001, p 269-280, Compendex.
  11. Global Behavior of Solutions of a Certain Nth Order Differential Equation in the Vicinity of an Irregular Singular Point
    Puttaswamy, T. K.
    Mathematics and Its Applications, 2001, vol. 528, pp. 265-284, Ingenta.
  12. Formal Solutions of Linear PDEs and Convex Polyhedra
    Aroca F.; Cano J.
    Journal of Symbolic Computation, December 2001, vol. 32, no. 6, pp. 717-737
    , Ingenta.
  13. Solution of a linear differential equation in the form of power series and its application.
    Kitamoto, T.
    Computer mathematics (Matsuyama, 2001), 46--55, Lecture Notes Ser. Comput., 9, World Sci. Publishing, River Edge, NJ, 2001, MathSciNet.  
  14. Formal Fundamental Solutions of Irregular Singular Differential Equations Depending Upon Parameters
    Schafke R.
    Journal of Dynamical and Control Systems, October 2001, vol. 7, no. 4, pp. 501-533
    , Ingenta.
  15. The Constructive Solution of Linear Systems of Partial Difference and Differential Equations with Constant Coefficients
    Oberst U.; Pauer F.
    Multidimensional Systems and Signal Processing, 10 July 2001, vol. 12, no. 3/4, pp. 253-308
    , Ingenta.
  16. Summability of formal power series solutions of ordinary and partial differential equations.
    Balser, W.
    International Conference on Differential and Functional Differential Equations (Moscow, 1999). Funct. Differ. Equ. 8 (2001), no. 1-2, 11--24, MathSciNet.  
  17. The method of Frobenius to Fuchsian partial differential equations.
    Mandai, T.
    Journal, 2000, vol. 52, no. 3, pp. 645, Ingenta.
  18. Exact Integration of Reduced Fishers Equation, Reduced Blasius Equation, and the Lorenz Model
    Roman-Miller L.; Broadbridge P.
    Journal of Mathematical Analysis and Applications, November 2000, vol. 251, no. 1, pp. 65-83
    , Ingenta.
  19. Second-order linear differential equations with two irregular singular points of rank three: The characteristic exponent
    Buehring, Wolfgang
    Journal of Computational and Applied Mathematics, v 118, n 1-2, Jun, 2000, p 43-69, Compendex.
  20. The radius of convergence of power series solutions to linear differential equations. (Chinese)
    Zeng, Yi
    Sichuan Shifan Daxue Xuebao Ziran Kexue Ban 23 (2000), no. 3, 291--293, MathSciNet.  
  21. Approximated solutions in rational form for systems of differential equations
    Gonzalez-Concepcion C.; Pestano-Gabino C.
    Numerical Algorithms, 1999, vol. 21, no. 1/4, pp. 185-203
    , Ingenta.
  22. Basis for power series solutions to systems of linear, constant coefficient partial differential equations.
    Pedersen, Paul S.
    Adv. Math. 141 (1999), no. 1, 155--166, MathSciNet.  
  23. Automatic programming of recurrent power series
    Lara M.; Elipe A.; Palacios M.
    Mathematics and Computers in Simulation, September 1999, vol. 49, no. 4, pp. 351-362
    , Ingenta.
  24. The MAPLE package of symbolic constructions of solutions of linear ordinary differential equations as power series. (Russian)
    Ryabenko, A. A. T
    Programmirovanie 1999, no. 5, 71--80; translation in Program. Comput. Software 25 (1999), no. 5, 296--304, MathSciNet.  
  25. Leibniz's Formula, Cauchy Majorants, and Linear Differential Equations  
    Michael Mezzino; Mark Pinsky  
    Mathematics Magazine, Vol. 71, No. 5. (Dec., 1998), pp. 360-368, Jstor.  
  26. A Series Solution for Nonlinear Differential Equations using Delta Operators
    Chanane B.
    Applied Mathematics Letters, November 1998, vol. 11, no. 6, pp. 75-80, Ingenta.
  27. Formal power series solutions of nonlinear first order partial differential equations.
    Gérard, Raymond; Tahara, Hidetoshi
    Funkcial. Ekvac. 41 (1998), no. 1, 133--166, MathSciNet.  
  28. Approximate analytic temperature solution for uniform annular fins by adapting the power series method
    Campo A.; Rodriguez F.
    International Communications in Heat and Mass Transfer, August 1998, vol. 25, no. 6, pp. 809-818
    , Ingenta.
  29. New method to count the index numbers of the singular points of ordinary differential equations
    Gong, Peishan; Wei, Bin  
    Qingdao Daxue Xuebao/Journal of Qingdao University, v 10, n 3, Sep, 1997, p 97, Compendex.
  30. On a Class of Regular Singular Two Point Boundary Value Problems
    Stech R.H.K.W.
    Journal of Mathematical Analysis and Applications, April 1997, vol. 208, no. 2, pp. 388-403, Ingenta.
  31. Formal power series solutions of non-linear partial differential equations of the first order.
    Tahara, Hidetoshi
    Algebraic analysis methods in microlocal analysis (Japanese) (Kyoto, 1996). Surikaisekikenkyusho Kokyuroku No. 983 (1997), 133--141, MathSciNet.  
  32. On a Class of Weakly Regular Singular Two-Point Boundary Value Problems, II
    Pandey R.K.
    Journal of Differential Equations, May 1996, vol. 127, no. 1, pp. 110-123, Ingenta.
  33. On a class of weakly regular singular two point boundary value problems--I
    Pandey R.K.
    Nonlinear Analysis, July 1996, vol. 27, no. 1, pp. 1-12, Ingenta.
  34. Computer Implementation of a Series Solution for Constant Coefficient Ordinary Differential Equations
    Wang C.L.-Y.
    Computers and Mathematics with Applications, February 1996, vol. 31, no. 3, pp. 43-60, Ingenta.
  35. Analytical Solution Of The Forced Duffing's Oscillator
    Qaisi M.I.
    Journal of Sound and Vibration, July 1996, vol. 194, no. 4, pp. 513-520
    , Ingenta.
  36. A Power Series Approach For The Study Of Periodic Motion
    Qaisi M.I.
    Journal of Sound and Vibration, October 1996, vol. 196, no. 4, pp. 401-406
    , Ingenta.
  37. Power Series Solution of Coupled Differential Equations in One Variable
    Haftel M.; Krivec R.; Mandelzweig V.B.
    Journal of Computational Physics, January 1996, vol. 123, no. 1, pp. 149-161
    , Ingenta.
  38. Asymptotic Expansion of Differential Equations with an Irregular Singular Point of Finite Rank.
    Andronov, V. D.
    Journal of mathematical sciences., 1994, vol. 72, no. 5, pp. 3327, Ingenta.
  39. Nonlinear Ordinary Differential Equations Resolvable with Respect to an Irregular Singular Point.
    Tovbis, A.
    Journal of differential equations, 1994, vol. 109, no. 1, pp. 201, Ingenta.
  40. A matrix method of Frobenius for solving implicit second order differential systems.
    Navarro, E.; Ferrer, M. V.; Jodar, L.
    Analysis, 1993, vol. 13, no. 3, pp. 259, Ingenta.
  41. Convergent power series solutions of a nonlinear partial differential equation.
    Gérard, Raymond; Sibuya, Yasutaka
    Analysis 13 (1993), no. 4, 395--401, MathSciNet.  
  42. Power series solutions around a singular point of the system of hypergeometric differential equations of type (3,6) by use of special values of 3F2.
    Sasaki, Takeshi; Uehara, Tomoyuki
    Funkcial. Ekvac. 36 (1993), no. 2, 405--431, MathSciNet.  
  43. Multisummability of formal power series solutions of nonlinear meromorphic differential equations.
    Braaksma, Boele L. J.
    Ann. Inst. Fourier (Grenoble) 42 (1992), no. 3, 517--540, MathSciNet.  
  44. On the asymptotic solutions of a differential equation with multiple singular points
    Wazwaz, A.-M.  
    Journal of Computational and Applied Mathematics, v 34, n 1, Feb 10, 1991, p 65-74, Compendex.
  45. Multisummability of formal power series solutions of linear ordinary differential equations.
    Balser, W.; Braaksma, B. L. J.; Ramis, J.-P.; Sibuya, Y.
    Asymptotic Anal. 5 (1991), no. 1, 27--45, MathSciNet.  
  46. Construction of the solution of a system of partial differential equations with a regular singularity by the generalized Frobenius method. (Russian)  
    Tasmambetov, Zh. N.
    Akad. Nauk Ukrain. SSR Inst. Mat. Preprint  1991,  no. 29, 44 pp. 35, MathSciNet.  
  47. Periodic solutions of integro-differential equations that contain an integral-power series. (Russian)
    Vuitovich, B. È.
    Mat. Fiz. Nelinein. Mekh. No. 15(49) (1991), 39--45, MathSciNet.  
  48. Frobenius Analysis of Higher Order Equations: Incipient Buoyant Thermal Convection  
    David L. Littlefield; Prateen V. Desai  
    SIAM Journal on Applied Mathematics, Vol. 50, No. 6. (Dec., 1990), pp. 1752-1763, Jstor.  
  49. Implementation of an algorithm in Macsyma. Computing the formal solutions of differential systems in the neighborhood of regular singular point
    Chen, G.; Gil, I.  
    ISSAC '90 Proceedings of International Symposium on Symbolic and Algebraic Computation, 1990, p 307, Compendex.
  50. Algorithm for computing the formal solutons of differential systems in the neighborhood of an irregular singular point
    Guoting, Chen   
    ISSAC '90 Proceedings of International Symposium on Symbolic and Algebraic Computation, 1990, p 231-235, Compendex.
  51. Resommation des series formelles. Solutions d'équations différentielles linéaires ordinaires du second ordre dans le champ complexe au voisinage de singularités irrégulières. (French)
    [Resummation of formal power series. Solutions of second-order linear complex ordinary differential equations near irregular singularities]
    Thomann, Jean
    Numer. Math. 58 (1990), no. 5, 503--535, MathSciNet.  
  52. The Radius of Convergence of Power Series Solutions to Linear Differential Equations (in The Teaching of Mathematics)  
    Isom H. Herron  
    The American Mathematical Monthly, Vol. 96, No. 9. (Nov., 1989), pp. 824-827, Jstor.  
  53. Numerical study of a regular singular point of a linear differential system in the complex domain.
    Klares, Bernard
    Analysis, 1989, vol. 9, no. 3, pp. 229, Ingenta.
  54. Construction of solutions of a singular differential equation of elliptic type in the form of double power series. (Russian)
    Mukhsinov, A.
    Dokl. Akad. Nauk Tadzhik. SSR 32 (1989), no. 8, 499--503, MathSciNet.  
  55. Asymptotic behavior of solutions of a second-order linear differential equation with regular singular points. (Russian)  
    Kudryavtsev, D. L.
    Dokl. Akad. Nauk SSSR  304  (1989),  no. 4, 796--799;  translation in  Soviet Math. Dokl.  39  (1989),  no. 1, 149--152, MathSciNet.  
  56. Power series approximation to solutions of nonlinear systems of differential equations.
    Fairén, Victor; López, Vicente; Conde, Luis
    Amer. J. Phys. 56 (1988), no. 1, 57--61, MathSciNet.  
  57. Software For The Frobenius Method For The Solution Of Nonlinear Differential Equations
    El-Halafawy, F. Z.; Eissa, M.
    Applied Mathematical Modelling, v 11, n 3, Jun, 1987, p 229-232, Compendex.
  58. Power series solutions of linear differential equations with polynomial coefficients.
    Kongsakorn, Kannika; Laohakosol, Vichian
    Southeast Asian Bull. Math. 11 (1987), no. 1, 13--17, MathSciNet.  
  59. Power series spaces and weighted solution spaces of partial differential equations.
    Langenbruch, Michael
    Math. Z. 194 (1987), no. 1, 71--88, MathSciNet.  
  60. Adaptation of the power series method in the approximate solution of nonlinear differential equations to singular points. (Russian)
    Kuznetsov, Yu. K.; Orlov, V. N.
    Differential and integral equations (Russian), 37--41, Gor\cprime kov. Gos. Univ., Gorki, 1987, MathSciNet.  
  61. A proof, using real analysis, of the existence of power series solutions to second-order linear ordinary differential equations. (Chinese)  
    Li, Wen Rong
    Qufu Shifan Daxue Xuebao Ziran Kexue Ban  13  (1987),  no. 3, 50--53, MathSciNet.  
  62. A Gap Theorem for Power Series Solutions of Algebraic Differential Equations  
    Leonard Lipshitz; Lee A. Rubel  
    American Journal of Mathematics, Vol. 108, No. 5. (Oct., 1986), pp. 1193-1213, Jstor.  
  63. Recurrence relations for the coefficients in Jacobi series solutions of linear differential equations.  
    Lewanowicz, Stanislaw
    SIAM J. Math. Anal.  17  (1986),  no. 5, 1037--1052, MathSciNet.  
  64. Twisted differential equations with regular singular points. (Spanish)  
    Plá, Héctor
    Cienc. Mat. (Havana)  7  (1986),  no. 2, 23--32, MathSciNet.  
  65. Power series solutions of algebraic differential equations.
    Denef, J.; Lipshitz, L.
    Math. Ann. 267 (1984), no. 2, 213--238, MathSciNet.  
  66. Algorithm To Obtain Formal Solutions Of A Linear Homogeneous Differential Equation At An Irregular Singular Point.
    Della Dora, J.; Di Crescenzo, Cl.; Tournier, E.  
    Lecture Notes in Computer Science, 1982, p 273-280, Compendex.
  67. Arithmetic Properties of Power Series Solutions of Algebraic Differential Equations  
    Yasutaka Sibuya; Steven Sperber  
    The Annals of Mathematics, 2nd Ser., Vol. 113, No. 1. (Jan., 1981), pp. 111-157, Jstor.
  68. Differential algebra and the simultaneous approximation by rational functions of power series solutions to algebraic functional equations.
    Osgood, Charles F.
    Amer. J. Math. 103 (1981), no. 3, 469--497, MathSciNet.  
  69. Convergence of power series solutions of p-adic nonlinear differential equation.
    Sibuya, Yasutaka; Sperber, Steven
    Recent advances in differential equations (Trieste, 1978), pp. 405--419, Academic Press, New York-London, 1981, MathSciNet.  
  70. Recurrence Relations for the Coefficients in Chebyshev Series Solutions of Ordinary Differential Equations  
    T. S. Horner  
    Mathematics of Computation, Vol. 35, No. 151. (Jul., 1980), pp. 893-905, Jstor.
  71. Some new results on power-series solutions of algebraic differential equations.
    Sibuya, Yasutaka; Sperber, Steven
    Singular perturbations and asymptotics (Proc. Adv. Sem., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1980), pp. 379--404, Publ. Math. Res. Center Univ. Wisconsin, 45, Academic Press, New York-London, 1980, MathSciNet.  
  72. Convergence of formal power series solutions of a system of nonlinear differential equations at an irregular singular point.
    Sibuya, Yasutaka
    Geometrical approaches to differential equations (Proc. Fourth Scheveningen Conf., Scheveningen, 1979), pp. 135--142, Lecture Notes in Math., 810, Springer, Berlin, 1980, MathSciNet.  
  73. Power series solutions for the m th-order-matrix ordinary differential equation.
    Ruiz-Claeyssen, Julio; Zevallos Gutierrez, Mauro
    Quart. Appl. Math. 37 (1979/80), no. 4, 447--450, MathSciNet.  
  74. Formal and Convergent Power Series Solutions of Singular Partial Differential Equations  
    Stanley Kaplan  
    Transactions of the American Mathematical Society, Vol. 256. (Dec., 1979), pp. 163-183, Jstor.
  75. Existence of a solution of a system of differential equations of delay type in the form of power series. (Russian)
    Kholmatov, A.
    Studies in integro-differential equations, pp. 240--243, 262, "Ilim", Frunze, 1979, MathSciNet.  
  76. Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity  
    Philip Hartman  
    Transactions of the American Mathematical Society, Vol. 246. (Dec., 1978), pp. 1-30, Jstor.  
  77. The Frobenius method for complex roots of the indicial equation.  
    Neuringer, Joseph L.
    Internat. J. Math. Ed. Sci. Tech.  9  (1978), no. 1, 71--77, MathSciNet.  
  78. Taylor Series Methods for the Solution of Volterra Integral and Integro-Differential Equations  
    Alan Goldfine  
    Mathematics of Computation, Vol. 31, No. 139. (Jul., 1977), pp. 691-707, Jstor.  
  79. Expanding the solutions of implicit sets of ordinary differential equations in power series.
    Norman, A. C.
    Comput. J. 19 (1976), no. 1, 63--68, MathSciNet.  
  80. A necessary condition for a power series to be a formal solution of a singular linear differential equation of order k.
    Gingold, H.
    J. Math. Anal. Appl. 52 (1975), no. 3, 546--552, MathSciNet.  
  81. Solution of systems of nonlinear weakly singular integral and integro-differential equations of hereditary elasticity theory by the method of power series. (Russian)
    Badalov, F.
    Voprosy Vycisl. i Prikl. Mat. (Tashkent) Vyp. 28 (1974), 161--176, 182, MathSciNet.  
  82. Power series solution of the matrix linear differential equation.
    Lupas, L.
    Rev. Roumaine Sci. Tech. Sér. Électrotech. Énergét. 19 (1974), 137--152, MathSciNet.  
  83. Solution of higher order nonlinear differential equations by the power series method, and estimation of its error. (Russian)
    Sadykov, U. S.; Dobra, I. D.
    Ukrain. Mat. Z. 25 (1973), 554--558, 576, MathSciNet.  
  84. Analytic Solutions of a Neutral Differential Equation Near a Singular Point  
    L. J. Grimm
    Proceedings of the American Mathematical Society, Vol. 36, No. 1. (Nov., 1972), pp. 187-190, Jstor.  
  85. Hadamard's Elementary Solution and Frobenius's Method  
    E. T. Copson  
    SIAM Review, Vol. 13, No. 2. (Apr., 1971), pp. 222-230, Jstor.  
  86. Solution of nonlinear Volterra integro-differential equations and systems by means of power series. (Russian)
    Badalov, F.; \v Sirinkulov, T.
    Dokl. Akad. Nauk UzSSR 1971, no. 9, 14--16, MathSciNet.  
  87. Asymptotic Behavior of Solutions of Linear Systems of Ordinary Differential Equations Near an Irregular Singular Point  
    Donald A. Lutz  
    American Journal of Mathematics, Vol. 91, No. 1. (Jan., 1969), pp. 95-105, Jstor.  
  88. An application of the method of power series to the solution of a two-point boundary value problem for a finite system of nonlinear differential equations with parameters. (Ukrainian)
    Sukennik, A. A.
    Dopovidi Akad. Nauk Ukraïn. RSR Ser. A 1969 1969 992--995, 1052--1053, MathSciNet.  
  89. A solution by means of power series of nonlinear and linear ordinary differential equations and systems. (Russian)  
    Fil'cakov, P. F.
    Ukrain. Mat. Z.  21  1969 220--237, MathSciNet.  
  90. A power series solution of a certain class of systems of Volterra integro-differential equations. (Russian)
    Kocetkov, N. N.
    Trudy Irkutsk. Gos. Univ. 26 1968 127--134, MathSciNet.  
  91. An application of the method of power series to the solution of a boundary value problem for a system of differential equations with parameters. (Ukrainian)
    Sukennik, A. A.
    Dopovidi Akad. Nauk Ukraïn. RSR Ser. A 1968 1968 832--835, MathSciNet.  
  92. The solution of systems of non-linear differential equations by means of power series. (Ukrainian)
    Fil'cakov, P. F.
    Dopovidi Akad. Nauk Ukraïn. RSR Ser. A 1967 1967 794--800, MathSciNet.  
  93. The Solution of a Second Order Linear Differential Equation Near a Regular Singular Point  
    John W. Dettman  
    The American Mathematical Monthly, Vol. 71, No. 4. (Apr., 1964), pp. 378-385, Jstor.  
  94. Generalized Laurent Series for Singular Solutions of Elliptic Partial Differential Equations  
    Murray Wachman  
    Proceedings of the American Mathematical Society, Vol. 15, No. 1. (Feb., 1964), pp. 101-108, Jstor.  
  95. Asymptotic power series developments for solutions of ordinary differential equations.
    Shu, Tsin-Hwa
    Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 10 1962 361--363, MathSciNet.  
  96. Expansions of solutions of differential equations with retardation in power series of small retardation.
    Rodionov, A. M.
    Prikl. Mat. Meh. 26 947--949 (Russian); translated as J. Appl. Math. Mech. 26 1962 1430--1435, MathSciNet.  
  97. A Note on the  [Frobenius] Indical Equation (in Miscellaneous Notes)   
    William Squire  
    Mathematics Magazine, Vol. 34, No. 4. (Mar. - Apr., 1961), pp. 226-229, Jstor.  
  98. Motivating the Method of Frobenius (in Classroom Notes)  
    Robert H. Owens  
    The American Mathematical Monthly, Vol. 67, No. 3. (Mar., 1960), pp. 278-279, Jstor.  
  99. A note on the indicial equation.    
    Squire, William
    Math. Mag.  34  1960/1961 226--229, MathSciNet.  
  100. Solution About a Singular Point of a Linear Differential Equation Involving A Large Parameter  
    Robert McKelvey  
    Transactions of the American Mathematical Society, Vol. 91, No. 3. (Jun., 1959), pp. 410-424, Jstor.  
  101. An Eigenfunction Series Solution of a Certain Hyperbolic Partial Differential Equation  
    E. J. Scott  
    SIAM Review, Vol. 1, No. 2. (Jul., 1959), pp. 160-166, Jstor.  
  102. Solution of Nonlinear Differential Equations with a Parameter by Asymptotic Series  
    Wolfgang Wasow  
    The Annals of Mathematics, 2nd Ser., Vol. 69, No. 2. (Mar., 1959), pp. 486-509, Jstor.  
  103. The region of convergence of a power series representing the solution of a differential equation. (Russian)
    Reznikovski\u\i, P. T.
    Uspehi Mat. Nauk 13 1958 no. 6 (84), 145--150, MathSciNet.  
  104. Relations between properties of solutions of partial differential equations and the coefficients of their power series development.
    Kreyszig, Erwin
    J. Math. Mech. 6 (1957), 361--381, MathSciNet.  
  105. Asymptotic Solution with Respect to a Parameter of a Differential Equation Having an Irregular Singular Point  
    Nicholas D. Kazarinoff  
    Proceedings of the American Mathematical Society, Vol. 7, No. 1. (Feb., 1956), pp. 62-69, Jstor.  
  106. Erratum to Asymptotic and Convergent Factorial Series in the Solution of Linear Ordinary Differential Equations  
    Robert L. Evans  
    Proceedings of the American Mathematical Society, Vol. 5, No. 6. (Dec., 1954), p. 1000, Jstor.  
  107. Asymptotic and Convergent Factorial Series in the Solution of Linear Ordinary Differential Equations  
    Robert L. Evans  
    Proceedings of the American Mathematical Society, Vol. 5, No. 1. (Feb., 1954), pp. 89-92, Jstor.  
  108. Estimate of the radius of convergence of power series in a small parameter which represent periodic solutions of systems of differential equations. (Russian)
    Kruming, A. A.
    Ukrain. Mat. Zurnal 5, (1953). 434--438, MathSciNet.  
  109. Notes on Numerical Analysis--3: Solution of Differential Equations by Recurrence Relations (in Automatic Computing Machinery; Discussions)  
    C. W. Clenshaw; F. W. J. Olver  
    Mathematical Tables and Other Aids to Computation, Vol. 5, No. 33. (Jan., 1951), pp. 34-39, Jstor.  
  110. Solution of Differential Equations by Recurrence Relations (in Automatic Computing Machinery; Discussions)  
    John Todd  
    Mathematical Tables and Other Aids to Computation, Vol. 4, No. 29. (Jan., 1950), pp. 39-44, Jstor.  
  111. A New Method for Determining a Series Solution of Linear Differential Equations with Constant or Variable Coefficients  
    W. O. Pennell  
    The American Mathematical Monthly, Vol. 33, No. 6. (Jun. - Jul., 1926), pp. 293-307, Jstor.  
  112. On a Simple Type of Irregular Singular Point    
    George D. Birkhoff  
    Transactions of the American Mathematical Society, Vol. 14, No. 4. (Oct., 1913), pp. 462-476, Jstor.  
  113. A Simplified Treatment of the Regular Singular Point  
    George D. Birkhoff  
    Transactions of the American Mathematical Society, Vol. 11, No. 2. (Apr., 1910), pp. 199-202, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004