Multiple positive solutions for resonant difference equations

DOI10.1016/j.mcm.2008.09.009zbMath1171.39303OpenAlexW1973925571MaRDI QIDQ732674

Benshi Zhu, Jian She Yu

Publication date: 12 October 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2008.09.009

zbMATH Keywords

positive solutionscritical point theorydifference equationsresonant

Mathematics Subject Classification ID

Additive difference equations (39A10) Stability theory for difference equations (39A30)

Related Items (12)

Multiple nontrivial solutions for asymptotically linear discrete problem via computations of the critical groups ⋮ Nontrivial solutions of second-order difference equations ⋮ 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 ⋮ Multiple solutions for boundary value problems of second-order difference equations with resonance ⋮ Periodic solutions for a class of higher-order difference equations ⋮ Nontrivial solutions for discrete boundary value problems with multiple resonance via computations of the critical groups ⋮ Nontrivial solutions for resonant difference systems via computations of the critical groups ⋮ Existence of non-trivial solutions for resonant difference equations ⋮ Multiple periodic solutions for resonant difference equations ⋮ Multiple periodic solutions for difference equations with double resonance at infinity

Cites Work

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• 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
• Multiple solutions for a class of eigenvalue problems in hemivariational inequalities

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