Parameter ranges for the existence of solutions whose state components have specified nodal structure in coupled multiparameter systems of nonlinear Sturm–Liouville boundary value problems

DOI10.1017/S030821050001489XzbMath0744.34028OpenAlexW2312608481MaRDI QIDQ3984128

Robert Stephen Cantrell

Publication date: 27 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821050001489x

zbMATH Keywords

coupled two-parameter system of Sturm-Liouville problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24)

Related Items (1)

On solutions to coupled multiparameter nonlinear Sturm-Liouville boundary value problems whose state components have a specified nodal structure

Cites Work

• Unnamed Item
• On positive solutions of some pairs of differential equations. II
• Global positive coexistence of a nonlinear elliptic biological interacting model
• Equilibria and stabilities for competing-species reaction-diffusion equations with Dirichlet boundary data
• Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems
• Competition systems with Dirichlet boundary conditions
• Some global results for nonlinear eigenvalue problems
• Bifurcation of steady-state solutions in predator-prey and competition systems
• Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
• On the dirichlet problem for elliptic systems
• Global higher bifurcations in coupled systems of nonlinear eigenvalue problems

This page was built for publication: Parameter ranges for the existence of solutions whose state components have specified nodal structure in coupled multiparameter systems of nonlinear Sturm–Liouville boundary value problems