Oscillation results for second order scalar and matrix difference equations

DOI10.1016/0898-1221(94)00093-XzbMath0807.39003MaRDI QIDQ1334562

Shaozhu Chen, Lynn H. Erbe

Publication date: 21 September 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

oscillationmatrix difference equationsselfadjoint second order scalar difference equations

Mathematics Subject Classification ID

Additive difference equations (39A10) Difference operators (39A70)

Related Items (12)

Quadratic functionals for second order matrix equations on time scales ⋮ Oscillation of symplectic dynamic systems ⋮ Lower bound for the spectrum and the presence of pure point spectrum of a singular discrete Hamiltonian system ⋮ Oscillation theorems for second-order advanced functional difference equations ⋮ Oscillation criteria for second-order functional difference equations with ``summation small coefficient ⋮ Eventual disconjugacy of self-adjoint difference equations ⋮ Oscillation criteria of second order neutral difference equations ⋮ Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems ⋮ Linear oscillation of second-order nonlinear difference equations with damped term ⋮ Oscillation of solutions for second-order nonlinear difference equations with nonlinear neutral term ⋮ Comparison theorems for second order nonlinear difference equations ⋮ Disconjugacy criteria for matrix difference equations

Cites Work

• Unnamed Item
• Riccati type transformations for second-order linear difference equations
• Oscillation of second order linear matrix difference equations
• Riccati techniques and discrete oscillations
• Disconjugacy, disfocality, and oscillation of second order difference equations
• Oscillatory Second Order Linear Difference Equations and Riccati Equations
• Weighted Averaging Techniques in Oscillation Theory for Second Order Difference Equations
• Growth and Oscillation Properties of Second Order Linear Difference Equations
• Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity
• Oscillation and Nonoscillation for Systems of Self-Adjoint Second-Order Difference Equations

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