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

Published: 21 January 2008

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.