Riccati techniques and approximation for a second-order Poincaré difference equation

DOI10.1006/jmaa.1998.5925zbMath0914.39008OpenAlexW2083975297MaRDI QIDQ1269063

Shaozhu Chen, Chunqing Wu

Publication date: 9 June 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.5925

zbMATH Keywords

Riccati methodsecond-order Poincaré difference equationsecond-order selfadjoint difference equations

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (5)

Asymptotic diagonalization of matrix systems ⋮ Eventual disconjugacy of self-adjoint difference equations ⋮ Nonoscillatory solutions of a second-order difference equation of Poincaré type ⋮ Asymptotic formulae for nonlinear functional difference equations ⋮ A problem on Hartman and Wintner: approximation for discrete perturbations

Cites Work

• Volterra-Stieltjes integral equations and generalized ordinary differential expressions
• WKB (Liouville-Green) analysis of second order difference equations and applications
• Riccati techniques and discrete oscillations
• WKBJ-type approximation for finite moments perturbations of the differential equation \(y\)=\(0\) and the analogous difference equation
• The asymptotic estimates of solutions of difference equations
• Asymptotic linearity of solutions of self-adjoint systems of second order differential equations
• Asymptotic Behavior of Solutions of Poincare Difference Equations
• Asymptotic Integrations of Nonoscillatory Second Order Differential Equations
• Asymptotic Integration of the Principal Solution of a Second-Order Differential Equation

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