DIFFERENTIATING SOLUTIONS OF A BOUNDARY VALUE PROBLEM ON A TIME SCALE

DOI10.1017/S0004972716000022zbMath1345.34147OpenAlexW2334428162MaRDI QIDQ3186386

Jeffrey W. Lyons, Jeffrey T. Neugebauer, Lee H. Baxter

Publication date: 9 August 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972716000022

zbMATH Keywords

uniquenesstime scalesvariational equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Dynamic equations on time scales or measure chains (34N05)

Related Items (4)

Continuous dependence and differentiating solutions of a second order boundary value problem with average value condition ⋮ Delta derivatives of the solution to a third-order parameter dependent boundary value problem on an arbitrary time scale ⋮ Unnamed Item ⋮ Solutions of the variational equation for an \(n\)-th order boundary value problem with an integral boundary condition

Cites Work

• Unnamed Item
• Right focal point boundary value problems for ordinary differential equations and variational equations
• Boundary data smoothness for solutions of nonlocal boundary value problems for second order differential equations
• Boundary data smoothness for solutions of nonlocal boundary value problems for \(n\)-th order differential equations
• Disconjugacy, disfocality, and differentiation with respect to boundary conditions
• Differentiation of solutions of boundary value problems with respect to nonlinear boundary conditions
• Differentiation of solutions of nonlocal boundary value problems with respect to boundary data
• Relations Between Boundary Value Functions for a Nonlinear Differential Equation and its Variational Equations^*
• Differences with Respect to Boundary Points for Right Focal Boundary Conditions
• Disconjugacy, differences and differentiation for solutions of non-local boundary value problems fornth order difference equations
• Uniqueness implies existence on time scales

This page was built for publication: DIFFERENTIATING SOLUTIONS OF A BOUNDARY VALUE PROBLEM ON A TIME SCALE