Existence, multiplicity and nonexistence of positive solutions to a differential equation on a measure chain

DOI10.1016/S0377-0427(99)00267-8zbMath0937.34025OpenAlexW2083645109WikidataQ115338978 ScholiaQ115338978MaRDI QIDQ1963901

Allan C. Peterson, Lynn H. Erbe, Ronald M. Mathsen

Publication date: 13 June 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00267-8

zbMATH Keywords

existencemultiplicitynonexistencepositive solutionsmeasure chain

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (14)

Discrete third-order three-point boundary value problem ⋮ Criteria for Existence and Nonexistence of Positive Solutions to a Discrete Periodic Boundary Value Problem ⋮ Positive solutions of a nonlinear fourth-order dynamic eigenvalue problem on time scales ⋮ Topological transversality and boundary value problems on time scales. ⋮ Existence and nonexistence of positive solutions to a right-focal boundary value problem on time scales ⋮ The formulation of second-order boundary value problems on time scales ⋮ Positive solutions for Sturm-Liouville BVPs on time scales via sub-supersolution and variational methods ⋮ On the existence of solutions for dynamic boundary value problems under barrier strips condition ⋮ Existence of positive solutions to second-order time scale systems ⋮ Variational approach for Sturm-Liouville boundary value problems on time scales ⋮ Multiple periodic solutions for a second-order problem on periodic time scales ⋮ Curves of positive solutions of boundary value problems on time-scales ⋮ Existence of positive solutions for a dynamic equation on measure chains ⋮ Time scale boundary value problems on infinite intervals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and multiplicity of positive solutions to nonlinear boundary value problems
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Basic calculus on time scales and some of its applications
• Sturm-Liouville eigenvalue problems on time scales
• On the existence of positive solutions for semilinear elliptic equations in the annulus
• Multiple positive solutions of some boundary value problems
• Sturmian theory on measure chains
• Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems
• Positive solutions for a nonlinear differential equation on a measure chain
• Quadratic functionals for second order matrix equations on time scales
• Eigenvalue conditions and positive solutions
• Positive solutions to boundary value problems for nonlinear difference equations

This page was built for publication: Existence, multiplicity and nonexistence of positive solutions to a differential equation on a measure chain