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Open Access Research Article

Solvability for a Class of Abstract Two-Point Boundary Value Problems Derived from Optimal Control

Lianwen Wang

Author Affiliations

Department of Mathematics and Computer Science, University of Central Missouri, Warrensburg, MO 64093, USA

Boundary Value Problems 2007, 2007:027621  doi:10.1155/2007/27621

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2007/1/027621


Received:21 February 2007
Accepted:22 October 2007
Published:21 January 2008

© 2007 Wang

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

The solvability for a class of abstract two-point boundary value problems derived from optimal control is discussed. By homotopy technique existence and uniqueness results are established under some monotonic conditions. Several examples are given to illustrate the application of the obtained results.

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