Differentiation of solutions of boundary value problems with respect to boundary conditions

DOI10.1080/00036819208840119zbMath0808.34018OpenAlexW1967691293WikidataQ58169924 ScholiaQ58169924MaRDI QIDQ4291592

Jeffrey A. Ehme, Johnny Henderson

Publication date: 20 March 1995

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819208840119

zbMATH Keywords

boundary conditionscontinuous dependencedifferentiability with respect to boundary values

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (4)

Functional boundary value problems and smoothness of solutions ⋮ Differentiability of solutions of boundary value problems with respect to data ⋮ Differentiation of solutions of Lidstone boundary value problems with respect to the boundary data ⋮ Differences with Respect to Boundary Points for Right Focal Boundary Conditions

Cites Work

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• Dependence of solutions on boundary conditions for second order ordinary differential equations
• Dependence of solutions on boundary data for a system of two ordinary differential equations
• Existence–Uniqueness for Focal-Point Boundary Value Problems
• Continuous Dependence for N Boundary Value Problems
• Relations Between Boundary Value Functions for a Nonlinear Differential Equation and its Variational Equations^*
• Uniqueness of Solutions of Boundary Value Problems for Ordinary Differential Equations

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