Nontrivial solutions for discrete boundary value problems with multiple resonance via computations of the critical groups

DOI10.1016/j.na.2012.02.003zbMath1256.39003OpenAlexW2080741309MaRDI QIDQ414499

Fuwei Zhang, Shuli Wang, Jinsheng Liu, Jianming Zhang

Publication date: 11 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.02.003

zbMATH Keywords

Morse theorycritical point theorysecond-order difference equationsmultiple resonance

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (5)

Multiplicity results on discrete boundary value problems with double resonance via variational methods ⋮ Nontrivial solutions for discrete Kirchhoff-type problems with resonance via critical groups ⋮ On variational and topological methods in nonlinear difference equations ⋮ Multiplicity of solutions for discrete \(2n\)-th order periodic boundary value problem ⋮ Existence and multiplicity of solutions for nonlinear \(2n\)-th order difference boundary value problems

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