Existence of a double S-shaped bifurcation curve with six positive solutions for a combustion problem

DOI10.1016/j.jmaa.2012.02.036zbMath1315.34035OpenAlexW1965861163MaRDI QIDQ425317

Kuo-Chih Hung, Shin-Hwa Wang, Chien-Hsien Yu

Publication date: 8 June 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.02.036

zbMATH Keywords

multiplicitybifurcationnonlinear boundary conditionpositive solutiontime mapcombustion problemdouble S-shaped bifurcation curve

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Combustion (80A25) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Applications of boundary value problems involving ordinary differential equations (34B60)

Related Items (7)

Classification and evolution of bifurcation curves for the one-dimensional perturbed Gelfand equation with mixed boundary conditions ⋮ A class of nonlocal indefinite differential systems ⋮ Double bifurcation diagrams and four positive solutions of nonlinear boundary value problems via time maps ⋮ On the evolutionary bifurcation curves for the one-dimensional prescribed mean curvature equation with logistic type ⋮ \(S\)-shaped connected component of radial positive solutions for a prescribed mean curvature problem in an annular domain ⋮ Classification and evolution of bifurcation curves for a one-dimensional Dirichlet-Neumann problem with a specific cubic nonlinearity ⋮ Unnamed Item

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