Multiple positive solutions for the Dirichlet boundary value problems by phase plane analysis

DOI10.1155/2015/302185zbMath1347.34042OpenAlexW2127440152WikidataQ57554646 ScholiaQ57554646MaRDI QIDQ304907

A. Kirichuka, F. Zh. Sadyrbaev

Publication date: 26 August 2016

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/302185

zbMATH Keywords

bifurcation diagramsphase plane methodtime-map functions

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Linear boundary value problems for ordinary differential equations (34B05) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (2)

The bifurcation curves of a category of Dirichlet boundary value problems ⋮ Multiple solutions of boundary-value problems for Hamiltonian systems

Cites Work

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• On the uniqueness of solutions with prescribed numbers of zeros for a two-point boundary value problem
• Global bifurcation of steady-state solutions
• Time-map techniques for some boundary value problems
• An introduction to nonlinear boundary value problems
• On the uniqueness of positive solutions for two-point boundary value problems of Emden-Fowler differential equations
• Multiparameter Variational Eigenvalue Problems With Indefinite Nonlinearity
• A Seven-Positive-Solutions Theorem for a Superlinear Problem

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