Nontrivial solutions for resonant difference systems via computations of the critical groups

DOI10.1016/j.jmaa.2011.06.027zbMath1298.39006OpenAlexW2042220100MaRDI QIDQ641554

Shuli Wang, Jinsheng Liu, Fuwei Zhang, Jianming Zhang

Publication date: 24 October 2011

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.2011.06.027

zbMATH Keywords

Morse theorycritical groupresonanceminimax methodsdifference systems

Mathematics Subject Classification ID

Additive difference equations (39A10) Periodic solutions of difference equations (39A23)

Related Items (3)

Multiple nontrivial solutions for asymptotically linear discrete problem via computations of the critical groups ⋮ Nontrivial solutions for discrete Kirchhoff-type problems with resonance via critical groups ⋮ Nontrivial solutions of a second order difference systems with multiple resonance

Cites Work

• Unnamed Item
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• Multiple solutions for boundary value problems of second-order difference equations with resonance
• Multiple positive solutions for resonant difference equations
• Existence of multiple solutions of a second-order difference boundary value problem
• Critical point theory and Hamiltonian systems
• Infinite dimensional Morse theory and multiple solution problems
• Multiplicity results for asymptotically linear elliptic problems at resonance.
• Nontrivial periodic solutions for asymptotically linear resonant difference problem
• Multiple nontrivial solutions for a class of higher dimensional discrete boundary value problems
• MULTIPLICITY RESULTS FOR A CLASS OF SECOND ORDER SUPERLINEAR DIFFERENCE SYSTEMS
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

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