Computing differential Galois groups of second-order linear q-difference equations

Advances in Applied Mathematics ◽

10.1016/j.aam.2021.102273 ◽

2022 ◽

Vol 132 ◽

pp. 102273

Author(s):

Carlos E. Arreche ◽

Yi Zhang

Keyword(s):

Difference Equations ◽

Galois Groups ◽

Second Order ◽

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Canonical forms and discrete Liouville–Green asymptotics for second-order linear difference equations

Advances in Difference Equations ◽

10.1186/s13662-019-2293-z ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Renato Spigler

Keyword(s):

Difference Equations ◽

Second Order ◽

Canonical Forms ◽

Linear Difference Equations ◽

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Asymptotic approximations for second-order linear difference equations in Banach algebras, II

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.08.012 ◽

2008 ◽

Vol 340 (1) ◽

pp. 433-450 ◽

Author(s):

Tania Soldà ◽

Renato Spigler ◽

Marco Vianello

Keyword(s):

Difference Equations ◽

Banach Algebras ◽

Second Order ◽

Asymptotic Approximations ◽

Linear Difference Equations ◽

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On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.11.027 ◽

2012 ◽

Vol 389 (1) ◽

pp. 165-178 ◽

Author(s):

I. Area ◽

E. Godoy ◽

J. Rodal

Keyword(s):

Orthogonal Polynomial ◽

Difference Equations ◽

Second Order ◽

Partial Difference Equations ◽

Partial Difference ◽

Order Linear ◽

Polynomial Solutions

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Remarks on two recent oscillation theorems for second-order linear difference equations

Applied Mathematics Letters ◽

10.1016/s0893-9659(03)80026-5 ◽

2003 ◽

Vol 16 (2) ◽

pp. 161-163 ◽

Author(s):

Wan-Tong Li ◽

Sui-Sun Cheng

Keyword(s):

Difference Equations ◽

Second Order ◽

Linear Difference Equations ◽

Order Linear ◽

Oscillation Theorems

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Riccati type transformations for second-order linear difference equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(81)90208-0 ◽

1981 ◽

Vol 82 (2) ◽

pp. 451-462 ◽

Author(s):

John W Hooker ◽

William T Patula

Keyword(s):

Difference Equations ◽

Second Order ◽

Linear Difference Equations ◽

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Error bounds for asymptotic solutions of second-order linear difference equations

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(95)00218-9 ◽

1996 ◽

Vol 71 (2) ◽

pp. 191-212 ◽

Author(s):

J.M. Zhang ◽

X.C. Li ◽

C.K. Qu

Keyword(s):

Difference Equations ◽

Error Bounds ◽

Second Order ◽

Asymptotic Solutions ◽

Linear Difference Equations ◽

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Oscillation of solutions of second-order linear differential equations and corresponding difference equations

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2014.893297 ◽

2014 ◽

Vol 20 (7) ◽

pp. 1112-1126

Author(s):

Martin Bohner ◽

Olga Karpenko ◽

Oleksandr Stanzhytskyi

Keyword(s):

Differential Equations ◽

Difference Equations ◽

Second Order ◽

Linear Differential Equations ◽

Order Linear ◽

Linear Differential ◽

Oscillation Of Solutions

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Second order linear difference equations

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2017.1408608 ◽

2017 ◽

Vol 24 (3) ◽

pp. 305-343 ◽

Author(s):

A. M. Encinas ◽

M. J. Jiménez

Keyword(s):

Difference Equations ◽

Second Order ◽

Linear Difference Equations ◽

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Growth and Oscillation Properties of Second Order Linear Difference Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0510006 ◽

1979 ◽

Vol 10 (1) ◽

pp. 55-61 ◽

Author(s):

William T. Patula

Keyword(s):

Difference Equations ◽

Second Order ◽

Linear Difference Equations ◽

Order Linear ◽

Oscillation Properties

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New oscillation criteria for second order linear difference equations with positive and negative coefficients

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2009.07.078 ◽

2009 ◽

Vol 58 (10) ◽

pp. 1988-1997 ◽

Author(s):

Hassan A. El-Morshedy

Keyword(s):

Difference Equations ◽

Second Order ◽

Linear Difference Equations ◽

Oscillation Criteria ◽

Order Linear ◽

Positive And Negative Coefficients

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