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

Renato Spigler

doi:10.1186/s13662-019-2293-z

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 ◽

Order Linear

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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 ◽

Cited By ~ 3

Author(s):

Tania Soldà ◽

Renato Spigler ◽

Marco Vianello

Keyword(s):

Difference Equations ◽

Banach Algebras ◽

Second Order ◽

Asymptotic Approximations ◽

Linear Difference Equations ◽

Order Linear

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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 ◽

Cited By ~ 7

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 ◽

Cited By ~ 53

Author(s):

John W Hooker ◽

William T Patula

Keyword(s):

Difference Equations ◽

Second Order ◽

Linear Difference Equations ◽

Order Linear

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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 ◽

Cited By ~ 4

Author(s):

J.M. Zhang ◽

X.C. Li ◽

C.K. Qu

Keyword(s):

Difference Equations ◽

Error Bounds ◽

Second Order ◽

Asymptotic Solutions ◽

Linear Difference Equations ◽

Order Linear

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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 ◽

Cited By ~ 5

Author(s):

A. M. Encinas ◽

M. J. Jiménez

Keyword(s):

Difference Equations ◽

Second Order ◽

Linear Difference Equations ◽

Order Linear

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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 ◽

Cited By ~ 58

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 ◽

Cited By ~ 12

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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Oscillatory Second Order Linear Difference Equations and Riccati Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0518004 ◽

1987 ◽

Vol 18 (1) ◽

pp. 54-63 ◽

Cited By ~ 32

Author(s):

John W. Hooker ◽

Man Kam Kwong ◽

William T. Patula

Keyword(s):

Difference Equations ◽

Riccati Equations ◽

Second Order ◽

Linear Difference Equations ◽

Order Linear

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A Note on Olver's Algorithm for the Solution of Second-Order Linear Difference Equations

Mathematics of Computation ◽

10.2307/2006192 ◽

1980 ◽

Vol 35 (151) ◽

pp. 767 ◽

Cited By ~ 1

Author(s):

J. R. Cash

Keyword(s):

Difference Equations ◽

Second Order ◽

Linear Difference Equations ◽

Order Linear

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Numerical solution of second-order linear difference equations

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics ◽

10.6028/jres.071b.018 ◽

1967 ◽

Vol 71B (2 and 3) ◽

pp. 111 ◽

Cited By ~ 62

Author(s):

F.W.J. Olver

Keyword(s):

Numerical Solution ◽

Difference Equations ◽

Second Order ◽

Linear Difference Equations ◽

Order Linear

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