Boundary Value Problems 
Volume 2007 (2007), Article ID 27621, 17 pages
doi:10.1155/2007/27621
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

Recommended by Pavel Drabek

Abstract

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.