Oscillation of two-dimensional difference systems

DOI10.1016/S0898-1221(99)00246-1zbMath0964.39012MaRDI QIDQ1972504

John R. Graef, Ethiraju Thandapani

Publication date: 11 July 2001

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

zbMATH Keywords

oscillationnonlinear difference system

Mathematics Subject Classification ID

Related Items (17)

Necessary and sufficient conditions for oscillation of nonlinear neutral difference systems of dim-2 ⋮ Oscillatory criteria for the two-dimensional difference systems ⋮ Oscillation criteria for two dimensional linear neutral delay difference systems ⋮ Existence of bounded positive solutions for a system of difference equations ⋮ Positive solutions and iterative approximations for a nonlinear two-dimensional difference system with multiple delays ⋮ Positive solutions and Mann iterative algorithms for a nonlinear three-dimensional difference system ⋮ Oscillation and asymptotic behavior of two-dimensional difference systems ⋮ Oscillation of difference systems of the neutral type ⋮ Asymptotic behavior of nonlinear difference systems ⋮ Generalized discrete Riccati equation and oscillation of half-linear difference equations. ⋮ Oscillation and nonoscillation criteria for nonlinear dynamic systems on time scales ⋮ Oscillation criteria for two-dimensional dynamic systems on time scales ⋮ Oscillation for a nonlinear dynamic system on time scales ⋮ Fixed sign solutions of second-order difference equations with Neumann boundary conditions ⋮ Oscillation of certain two-dimensional nonlinear difference systems ⋮ Oscillatory properties of solutions of three-dimensional difference systems ⋮ Oscillation and nonoscillation of two-dimensional difference systems

Cites Work

• On the existence of positive solutions of higher order difference equations
• An application of discrete inequality to second order nonlinear oscillation
• Oscillation and non-oscillation theorems for a class of second order quasilinear difference equations
• A second-order nonlinear difference equation: oscillation and asymptotic behavior
• Oscillation of certain second order nonlinear difference equations
• An oscillation criterion for a nonlinear second order equation
• Exact solution of a difference approximation to Duffing's equation
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