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