Global bifurcation diagrams of one node solutions in a class of degenerate boundary value problems

DOI10.3934/dcdsb.2017047zbMath1369.34058OpenAlexW2580849662MaRDI QIDQ524058

Marcela Molina-Meyer, Julián López-Gómez, Paul H. Rabinowitz

Publication date: 25 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017047

zbMATH Keywords

components of one node solutionsdegenerate boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Sturm-Liouville theory (34B24) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (11)

Population Dynamics in Hostile Neighborhoods ⋮ Multiplicity of nodal solutions in classical non-degenerate logistic equations ⋮ Global structure of the set of 1-node solutions in a class of degenerate diffusive logistic equations ⋮ Rich dynamics in planar systems with heterogeneous nonnegative weights ⋮ Symmetry-breaking bifurcation for the Moore-Nehari differential equation ⋮ Existence of nodal solutions for the sublinear Moore-Nehari differential equation ⋮ Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions ⋮ The structure of the set of 1-node solutions of a class of degenerate BVP's ⋮ Spatial competition strategies: the case of two refuges ⋮ Nodal solutions of weighted indefinite problems ⋮ Global bifurcation diagrams of positive solutions for a class of 1D superlinear indefinite problems*

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spiraling bifurcation diagrams in superlinear indefinite problems
• The effects of spatial heterogeneities on some multiplicity results
• Multiplicity of positive solutions to boundary blow-up elliptic problems with sign-changing weights
• Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy
• Approaching metasolutions by solutions .
• Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
• Generating an arbitrarily large number of isolas in a superlinear indefinite problem
• Some global results for nonlinear eigenvalue problems
• A note on a nonlinear eigenvalue problem for a class of differential equations
• Metasolutions of Parabolic Equations in Population Dynamics
• The Pseudo-Spectral Method and Path Following in Reaction-Diffusion Bifurcation Studies
• Diffusion-mediated permanence problem for a heterogeneous Lotka–Volterra competition model
• Nonlinear sturm‐lionville problems for second order ordinary differential equations

This page was built for publication: Global bifurcation diagrams of one node solutions in a class of degenerate boundary value problems