Functional boundary value problems and smoothness of solutions

DOI10.1016/0362-546X(94)E0084-TzbMath0841.34067MaRDI QIDQ4862173

Johnny Henderson, Jeffrey A. Ehme

Publication date: 21 July 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

boundary value problemfunctional differential equationsmooth dependenceinitial delay problem

Mathematics Subject Classification ID

Boundary value problems for functional-differential equations (34K10) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (8)

Smoothness of solutions for delay-difference equations ⋮ Existence of positive solutions for second order functional differential equations ⋮ Boundary data smoothness for solutions of three point boundary value problems for second order ordinary differential equations ⋮ Boundary data smoothness for solutions of nonlocal boundary value problems for second order differential equations ⋮ Solutions of the variational equation for an \(n\)-th order boundary value problem with an integral boundary condition ⋮ Positive solutions and nonlinear eigenvalue problems for functional-differential equations ⋮ Uniqueness and existence for \(n\)th-order right focal boundary value problems ⋮ Differentiation of solutions of Lidstone boundary value problems with respect to the boundary data

Cites Work

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• Right focal point boundary value problems for ordinary differential equations and variational equations
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• Geometric theory of semilinear parabolic equations
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• Differentiation of solutions of boundary value problems with respect to nonlinear boundary conditions
• On the existence of solutions to multipoint boundary value problems
• Theory of functional differential equations. 2nd ed
• Ordinary and delay differential equations
• Nonlinear boundary value problems for ordinary differential equations
• Multipoint boundary value problems for ordinary differential systems
• Existence and continuous dependence of solutions of a neutral functional- differential equation
• Topologies for neutral functional differential equations
• Existence–Uniqueness for Focal-Point Boundary Value Problems
• Differentiation of solutions of boundary value problems with respect to boundary conditions

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