A theorem on reversed S-shaped bifurcation curves for a class of boundary value problems and its application

DOI10.1016/j.na.2008.10.070zbMath1227.34036OpenAlexW2030873673MaRDI QIDQ1021703

Tzung-Shin Yeh, Shin-Hwa Wang

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.070

zbMATH Keywords

positive solutionexact multiplicitytime mapS-shaped bifurcation curve

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (3)

S-shaped bifurcation curves for nonlinear two-parameter problems ⋮ Exact multiplicity and stability of periodic solutions for Duffing equation with bifurcation method ⋮ Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity and their applications

Cites Work

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• S-shaped bifurcation curves
• Rigorous analysis and estimates of S–shaped bifurcation curves in a combustion problem with general Arrhenius reaction–rate laws
• On the exactness of an S-shaped bifurcation curve
• On s-shaped bifurcation curves

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