Multiple solutions for boundary value problems of second-order difference equations with resonance

DOI10.1016/j.jmaa.2010.09.025zbMath1209.39002OpenAlexW2053577750MaRDI QIDQ601316

Jinsheng Liu, Jianming Zhang, Shuli Wang

Publication date: 4 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.025

zbMATH Keywords

local linkingMorse theoryboundary value problemscritical point theorymultiple solutionsresonanceminimax methodsbifurcation theorysecond-order difference equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12)

Related Items (13)

The existence of solutions for Sturm-Liouville differential equation with random impulses and boundary value problems ⋮ Multiple nontrivial solutions for asymptotically linear discrete problem via computations of the critical groups ⋮ Solutions of the boundary value problem for a \(2n\)th-order nonlinear difference equation containing both advance and retardation ⋮ Nontrivial solutions for discrete Kirchhoff-type problems with resonance via critical groups ⋮ Nontrivial solutions for discrete boundary value problems with multiple resonance via computations of the critical groups ⋮ Standing waves solutions for the discrete Schrödinger equations with resonance ⋮ Nontrivial solutions for resonant difference systems via computations of the critical groups ⋮ Existence of multiple and sign-changing solutions for a second-order nonlinear functional difference equation with periodic coefficients ⋮ Nonlinear scalar multipoint boundary value problems at resonance ⋮ Multiple periodic solutions for resonant difference equations ⋮ Periodic behaviour of nonlinear, second-order discrete dynamical systems ⋮ Boundary value problem for a second-order difference equation with resonance ⋮ Boundary value problems for \(2n\)-order \(\phi_c\)-Laplacian difference equations containing both advance and retardation

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