Sturm–Liouville Problem for Second Order Ordinary Differential Equations Across Resonance

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Abstract

This paper is concerned with the existence and uniqueness of solutions to the Sturm–Liouville boundary value problem across resonance. By using optimal control theory, we present some global optimality results about the unique solvability for the Sturm–Liouville problem.

Keywords

Optimal control Sturm–Liouville boundary value problem Existence and uniqueness Across resonance 
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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.College of Mathematics, Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of EducationJilin UniversityChangchunP.R. China

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