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Constructive method for solving a boundary value problem for ordinary differential equations

Constructive method for solving a boundary value problem for ordinary differential equations We suggest a method for solving a boundary value problem for ordinary differential equations with boundary conditions in the presence of state and integral constraints. The method is based on the embedding principle, which permits one to reduce the original boundary value problem to a special optimal control problem with the use of the general solution of a Fredholm integral equation of the first kind. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Constructive method for solving a boundary value problem for ordinary differential equations

Differential Equations , Volume 51 (2) – Mar 22, 2015

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References (10)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266115020019
Publisher site
See Article on Publisher Site

Abstract

We suggest a method for solving a boundary value problem for ordinary differential equations with boundary conditions in the presence of state and integral constraints. The method is based on the embedding principle, which permits one to reduce the original boundary value problem to a special optimal control problem with the use of the general solution of a Fredholm integral equation of the first kind.

Journal

Differential EquationsSpringer Journals

Published: Mar 22, 2015

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