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  • Research Article
  • Open Access

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

Boundary Value Problems20082007:027621

  • Received: 21 February 2007
  • Accepted: 22 October 2007
  • Published:


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.


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Uniqueness Result


Authors’ Affiliations

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


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© Lianwen Wang 2007

This article is published under license to BioMed Central Ltd. 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.