Global Preservation of Nodal Structure in Coupled Systems of Nonlinear Sturm-Liouville Boundary Value Problems

DOI10.2307/2048159zbMath0683.34010OpenAlexW4231961698MaRDI QIDQ4732732

Robert Stephen Cantrell

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048159

zbMATH Keywords

bifurcationsDirichlet boundary datanonlinear second order ordinary differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential operators (34L99) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (3)

The structure of positive solutions for a Schrödinger system ⋮ On solutions to coupled multiparameter nonlinear Sturm-Liouville boundary value problems whose state components have a specified nodal structure ⋮ Global bifurcation from Fučik spectrum

Cites Work

• Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems
• A switch in nodal structure in coupled systems of nonlinear Sturm- Liouville boundary value problems
• Some aspects of nonlinear eigenvalue problems
• Bifurcation of steady-state solutions in predator-prey and competition systems
• Global higher bifurcations in coupled systems of nonlinear eigenvalue problems
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