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Solutions of
the variational equation for an $n$-th order boundary value
problem with an integral boundary condition
Benjamin L. Jeffers and Jeffrey W. Lyons
Vol. 14 (2021), No. 1, 155–166
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Abstract |
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We discuss differentiation of solutions to the boundary value problem
with respect to the boundary data. We show that under certain conditions, partial derivatives of the solution of the boundary value problem with respect to the various boundary data exist and solve the associated variational equation along . |
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Keywords
variational equation, integral condition, continuous
dependence, smoothness, Peano theorem
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Mathematical Subject Classification
Primary: 34B10
Secondary: 34B15
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Milestones
Received: 20 August 2020
Revised: 14 September 2020
Accepted: 28 September 2020
Published: 4 March 2021
Communicated by Johnny Henderson
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Authors |
| Benjamin L. Jeffers | |
| Trinity University San Antonio, TX United States |
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| Jeffrey W. Lyons | |
| The Citadel Charleston, SC United States |
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