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

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.

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Correspondence to Lianwen Wang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Wang, L. Solvability for a Class of Abstract Two-Point Boundary Value Problems Derived from Optimal Control. Bound Value Probl 2007, 027621 (2008). https://doi.org/10.1155/2007/27621

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Keywords

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