Existence of uncountably many asymptotically constant solutions to discrete nonlinear three-dimensional system with \(p\)-Laplacian

DOI10.3934/dcdsb.2018025zbMath1377.39008OpenAlexW2765783470MaRDI QIDQ1678317

Ewa Schmeidel, Magdalena Nockowska-Rosiak, Piotr Hachuła

Publication date: 14 November 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018025

zbMATH Keywords

\(p\)-Laplacianthree-dimensional system of difference equations

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Quasilinear elliptic equations with (p)-Laplacian (35J92) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (1)

Uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations

Cites Work

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• Existence of solutions for \(p\)-Laplacian discrete equations
• A result on three solutions theorem and its application to \(p\)-Laplacian systems with singular weights
• Oscillatory properties of solutions of three-dimensional difference systems
• On the existence of positive solutions of \(p\)-Laplacian difference equations.
• Existence and comparison results for difference \(\phi\)-Laplacian boundary value problems with lower and upper solutions in reverse order
• Extremal solutions for the difference \(\phi\)-Laplacian problem with nonlinear functional boundary conditions
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
• Oscillation of nonlinear three-dimensional difference systems with delays
• Existence of nonoscillatory solutions for system of neutral difference equations

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