Bifurcation and positive solutions of a nonlinear fourth-order dynamic boundary value problem on time scales

DOI10.1186/1687-1847-2013-64zbMath1380.34134OpenAlexW2098429468WikidataQ59301606 ScholiaQ59301606MaRDI QIDQ1693488

Hua Luo

Publication date: 31 January 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-64

zbMATH Keywords

eigenvaluepositive solutionsbifurcationtime scalesKrein-Rutman theoremfourth-order dynamic equations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Dynamic equations on time scales or measure chains (34N05)

Related Items (2)

Global bifurcation results for nonlinear dynamic equations on time scales ⋮ Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems

Cites Work

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• Bifurcation from interval and positive solutions of a nonlinear second-order dynamic boundary value problem on time scales
• Nodal solutions to nonlinear eigenvalue problems on time scales
• Global bifurcation on time scales

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