Nonexistence of unbounded nonoscillatory solutions of partial difference equations

DOI10.1006/jmaa.1997.5587zbMath0895.39005OpenAlexW2072949353MaRDI QIDQ1380365

Ravi P. Agarwal, Patricia J. Y. Wong

Publication date: 13 September 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5587

zbMATH Keywords

positive solutionspartial difference equationunbounded nonoscillatory solutions

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (12)

Existence of positive solutions for certain nonlinear partial difference equations ⋮ Existence of bounded and unbounded nonoscillatory solutions of nonlinear partial difference equations ⋮ Existence of bounded positive solutions for partial difference equations with delays ⋮ Oscillation of solutions of systems of neutral type partial functional differential equations. ⋮ On multiplicity of solutions to nonlinear partial difference equations with delay ⋮ Iterative learning control for MIMO parabolic partial difference systems with time delay ⋮ Existence of bounded and unbounded non-oscillatory solutions for partial difference equations ⋮ Solution of difference equations by using differential transform method ⋮ The oscillation and stability of delay partial difference equations ⋮ Nonexistence of positive solutions of a class of nonlinear delay partial difference equations ⋮ Oscillation of partial difference equations with continuous variables. ⋮ Oscillation of a kind of two-variables functional equation.

Cites Work

• Theory of difference equations: Numerical methods and applications
• The oscillation of solutions of difference equations
• Oscillation theorems for perturbed nonlinear second order difference equations
• Oscillation theorems for certain second order nonlinear difference equations
• Summation averages and the oscillation of second-order nonlinear difference equations
• Oscillations of higher-order neutral difference equations
• Comparison theorems for the oscillation of higher order difference equations with deviating arguments
• Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations
• Oscillation criteria for nonlinear partial difference equations with delays
• Oscillatory and nonoscillatory behavior of second order neutral delay difference equations
• Oscillation in nonlinear difference equations
• Oscillation of partial difference equations with variable coefficients
• Existence of positive nondecreasing solutions of nonlinear difference equations
• Oscillation of a class of delay partial difference equations
• An existence theorem for a nonlinear difference equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonexistence of unbounded nonoscillatory solutions of partial difference equations