The oscillation and stability of delay partial difference equations

DOI10.1016/S0898-1221(03)00099-3zbMath1062.39011OpenAlexW2039048220MaRDI QIDQ1827186

Ravi P. Agarwal, Bing Gen Zhang

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)00099-3

zbMATH Keywords

Stabilityvariable coefficientsnonlinear partial difference equationsOscillationPartial difference equationsfunctional partial differential equation

Mathematics Subject Classification ID

Related Items

Oscillation of nonlinear impulsive partial difference equations with continuous variables, Oscillation theorems for certain delay partial difference equations, An improved product type oscillation test for partial difference equations, Homoclinic solutions for partial difference equations with mixed nonlinearities, Oscillatory behavior in linear difference equations under unmodeled dynamics and parametrical errors, Oscillation of certain partial difference equations, An envelope surface method for determining oscillation of a delay 2-D discrete convection system, Strong and weak oscillatory behavior in time-varying linear difference equations of arbitrary order in the presence of unmodeled dynamics and nominal parametrical errors, Further oscillation criteria for partial difference equations with variable coefficients, Exact oscillation regions for a partial difference equation, Exact regions of oscillation for a mixed 2D discrete convection system

Cites Work

• Square-summable stability in parabolic Volterra difference equations
• On the oscillation of two partial difference equations
• Oscillation of nonlinear partial difference equations with delays
• Eventually positive and monotonely decreasing solutions of partial difference equations
• Linearized oscillation theorems for certain nonlinear delay partial difference equations
• On the existence of positive solutions of higher order difference equations
• Frequent oscillation of a class of partial difference equations
• Nonexistence of positive solutions of a class of nonlinear delay partial difference equations
• Necessary and sufficient conditions for oscillations of linear delay partial difference equations
• On the oscillation of partial difference equations generated by deviating arguments
• Stability criteria for two partial difference equations
• Asymptotic constancy of solutions of linear parabolic Volterra difference equations
• Nonexistence of unbounded nonoscillatory solutions of partial difference equations
• Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay
• Oscillation theorems for certain nonlinear delay partial difference equations
• Linearized oscillation theorems for certain nonlinear difference equations with continuous arguments.
• Oscillation of partial difference equations with continuous variables.
• The stability of certain partial difference equations
• Exponential stability of a partial difference equation with nonlinear perturbation
• Oscillation criteria for nonlinear partial difference equations with delays
• The stability of partial difference systems with retarded arguments
• Oscillation of partial difference equations with variable coefficients
• Measures for oscillatory sequences
• Stability criteria for a class of linear delay partial difference equations
• Necessary and sufficient conditions for oscillations of partial difference equations with continuous variables
• Oscillation criteria of certain nonlinear partial difference equations
• Stability criteria for parabolic type partial difference equations
• Comparison and linearized oscillation theorems for a nonlinear partial difference equation
• Sturmian theorems for hyperbolic type partial difference equations
• Global stability of a linear nonautonomous delay difference equation¹
• Oscillation of a class of delay partial difference equations
• On the Partial Difference Equations of Mathematical Physics
• Oscillation of certain partial difference equations
• Global attractivity of linear partial difference equations
• The oscillation of partial difference equations with continuous arguments
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