Curves of positive solutions of boundary value problems on time-scales

DOI10.1016/j.jmaa.2004.07.012zbMath1077.34022OpenAlexW2058193617MaRDI QIDQ703676

Bryan P. Rynne, Fordyce A. Davidson

Publication date: 11 January 2005

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.2004.07.012

zbMATH Keywords

time scalesnonlinear boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12)

Related Items

Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales ⋮ \(L^{2}\) spaces and boundary value problems on time-scales ⋮ Bifurcation from interval and positive solutions of a nonlinear second-order dynamic boundary value problem on time scales ⋮ Existence of nontrivial solutions and sign-changing solutions for nonlinear dynamic equations on time scales ⋮ Nodal solutions to nonlinear eigenvalue problems on time scales

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive solutions for eigenvalue problems on a measure chain
• On the structure of solutions of an equation in catalysis theory when a parameter is large
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Sturm-Liouville eigenvalue problems on time scales
• Sturmian theory on measure chains
• Existence, multiplicity and nonexistence of positive solutions to a differential equation on a measure chain
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Inequalities on Time Scales: A Survey
• S-shaped bifurcation curves
• On s-shaped bifurcation curves
• Eigenvalue conditions and positive solutions
• Global bifurcation on time scales