Boundary Value Problems
Volume 2007 (2007), Article ID 27621, 17 pages
Research Article

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

Lianwen Wang

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

Received 21 February 2007; Accepted 22 October 2007

Academic Editor: Pavel Drabek

Copyright © 2007 Lianwen 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.