Existence and multiplicity of solutions for discrete nonlinear two-point boundary value problems

DOI10.1155/2011/319829zbMath1208.39007OpenAlexW2003738513WikidataQ58655454 ScholiaQ58655454MaRDI QIDQ624454

Caixia Guo, Jianmin Guo

Publication date: 9 February 2011

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230419

zbMATH Keywords

Morse inequalitiesMorse theorycritical point theorymultiplicity resultsdiscrete nonlinear two-point boundary value problem

Mathematics Subject Classification ID

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

Cites Work

• Existence of nontrivial solutions for discrete nonlinear two point boundary value problems
• Existence of solutions to nonlinear Hammerstein integral equations and applications
• Existence and multiplicity of solutions to \(2m\)th-order ordinary differential equations
• Multiple solutions of some nonlinear fourth-order beam equations
• Existence of solutions for some fourth-order boundary value problems with parameters
• Positive solutions of fourth-order boundary value problems with two parameters
• On positive solutions of some nonlinear fourth-order beam equations
• Infinite dimensional Morse theory and multiple solution problems