Sign-changing solutions to discrete fourth-order Neumann boundary value problems

DOI10.1186/1687-1847-2013-10zbMath1368.39007OpenAlexW2171440708WikidataQ59301923 ScholiaQ59301923MaRDI QIDQ2360490

Jing-Ping Yang

Publication date: 4 July 2017

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-10

zbMATH Keywords

positive solutionstopological degree theoryfixed point index theorysign-changing solutionsnegative solutionsdiscrete fourth-order Neumann boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (7)

Sign-changing solutions for asymptotically linear operator equations and applications ⋮ Evolutionary \(p\)-Laplacian with convection and reaction under dynamic boundary condition ⋮ Unnamed Item ⋮ Existence of multiple and sign-changing solutions for a second-order nonlinear functional difference equation with periodic coefficients ⋮ Sign-changing solutions for nonlinear operator equations ⋮ Multiple solutions for nonlinear functional difference equations by the invariant sets of descending flow ⋮ Multiple solutions of fourth-order difference equations with different boundary conditions

Cites Work

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• Infinitely many mountain pass solutions on a kind of fourth-order Neumann boundary value problem
• Sturm-Liouville eigenvalue problems on time scales
• Three symmetric solutions of Lidstone boundary value problems for difference and partial difference equations

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