Existence of non-trivial solutions for resonant difference equations

DOI10.1080/10236198.2011.633517zbMath1263.39008OpenAlexW2007164243MaRDI QIDQ4908681

Jianming Zhang, Jinsheng Liu, Fuwei Zhang, Shuli Wang

Publication date: 6 March 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2011.633517

zbMATH Keywords

Morse theorycritical point theoryresonancenontrivial solutionsminimax methodssecond-order difference equations

Mathematics Subject Classification ID

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

Related Items (6)

Global existence and uniform boundedness of smooth solutions to a parabolic-parabolic chemotaxis system with nonlinear diffusion ⋮ Nontrivial solutions for discrete Kirchhoff-type problems with resonance via critical groups ⋮ Standing waves solutions for the discrete Schrödinger equations with resonance ⋮ Multiple periodic solutions for resonant difference equations ⋮ Applications of Conley index theory on difference equations with non-resonance ⋮ Boundary value problem for a second-order difference equation with resonance

Cites Work

• Multiple positive solutions for resonant difference equations
• Existence of multiple solutions of a second-order difference boundary value problem
• On the existence of positive solutions of fourth-order difference equations
• Existence of positive solutions for BVPs of fourth-order difference equations
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Existence of positive solutions of \(p\)-Laplacian difference equations
• Discrete third-order three-point boundary value problem
• Three positive solutions of boundary value problems for \(p\)-Laplacian difference equations
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
• Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues

This page was built for publication: Existence of non-trivial solutions for resonant difference equations