Computation of solutions to linear difference and differential equations with a prescribed asymptotic behavior

[1]  Hendrik Baumann,et al.  Computation of Invariant Measures and Stationary Expectations for Markov Chains with Block-Band Transition Matrix , 2020, J. Appl. Math..

[2]  Hendrik Baumann.  Generalized continued fractions: a unified definition and a Pringsheim-type convergence criterion , 2019, Advances in Difference Equations.

[3]  Mario Tirelli,et al.  Linear Difference Equations , 2018, Linear Mathematical Models in Chemical Engineering.

[4]  Yuming Shi,et al.  Asymptotic behavior of solutions of perturbed linear difference systems , 2005 .

[5]  T. Hanschke,et al.  A matrix continued fraction algorithm for the multiserver repeated order queue , 1999 .

[6]  T. Hanschke.  Ein verallgemeinerter Jacobi-Perron-Algorithmus zur Reduktion linearer Differenzengleichungssysteme , 1998 .

[7]  S. Elaydi.  An introduction to difference equations , 1995 .

[8]  T. Hanschke.  Characterization of antidominant solutions of linear differential equations , 1992 .

[9]  D. A. Lutz,et al.  Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations , 1987 .

[10]  Jet Wimp,et al.  Computation with recurrence relations , 1986 .

[11]  Paul van der Cruyssen,et al.  Linear difference equations and generalized continued fractions , 1979, Computing.

[12]  R. V. Zahar.  A mathematical analysis of Miller's algorithm , 1976 .

[13]  Walter Gautschi,et al.  Zur Numerik rekurrenter Relationen , 1972, Computing.

[14]  A. Devinatz.  An asymptotic theorem for systems of linear differential equations. , 1971 .

[15]  Kenneth S. Miller,et al.  Linear difference equations , 1968 .

[16]  F. Schäfke,et al.  Lösungstypen von Differenzengleichungen und Summengleichungen in normierten abelschen Gruppen , 1965 .

[17]  N. Levinson.  The asymptotic nature of solutions of linear systems of differential equations , 1948 .

[18]  A. Wintner.  Asymptotic Integrations of the Adiabatic Oscillator , 1947 .

[19]  O. Perron,et al.  Über Summengleichungen und Poincarésche Differenzengleichungen , 1921 .

[20]  O. Perron.  Über lineare Differenzen- und Differentialgleichungen , 1909 .

[21]  A. Kneser,et al.  Untersuchungen über die reellen Nullstellen der Integrale linearer Differentialgleichungen , 1893 .

[22]  S. Pincherle.  Sur la génération de systémes récurrents , 1892 .

[23]  Henri Poincaré,et al.  Sur les Equations Lineaires aux Differentielles Ordinaires et aux Differences Finies , 1885 .

[24]  Kristian Kirsch,et al.  Theory Of Ordinary Differential Equations , 2016 .

[25]  Adhemar Bultheel,et al.  MATRIX CONTINUED FRACTIONS RELATED TO FIRST-ORDER LINEAR RECURRENCE SYSTEMS , 1996 .

[26]  D. W. Lewis.  Matrix theory , 1991 .

[27]  S. Karlin,et al.  A second course in stochastic processes , 1981 .

[28]  F. Schäfke.  Minimallösungen von Differenzengleichungen in Gruppen: eine verallgemeinerte Kettenbruchmethode , 1967 .

[29]  W. Gautschi.  Computational Aspects of Three-Term Recurrence Relations , 1967 .

[30]  Aurel Wintner,et al.  Asymptotic Integrations of Linear Differential Equations , 1955 .

[31]  O. Perron.  Über Systeme von linearen Differenzengleichungen erster Ordnung. , 1917 .

[32]  A. Kneser.  Untersuchung und asymptotische Darstellung der Integrale gewisser linearer Differentialgleichungen bei grossen reellen Werthen des Arguments. , 1896 .