Well-posedness of a class of two-point boundary value problems associated with ordinary differential equations

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ID: 25853
2018
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Abstract
Abstract This paper introduces the regular decoupling field to study the existence and uniqueness of solutions of two-point boundary value problems for a class of ordinary differential equations which can be derived from the maximum principle in optimal control theory. The monotonicity conditions used to guarantee the existence and uniqueness of such equations are initially a special case of the regular decoupling field method. More generally, in case of the homogeneous equations, this paper generalizes the application scope of the monotonicity conditions method by using the linear transformation method. In addition, the linear transformation method can be used to handle the situation where the monotonicity conditions and regular decoupling field method cannot be directly applied. These two methods overall develop the well-posedness theory of two-point boundary value problems which has potential applications in optimal control and partial differential equation theory.
Reference Key
liu2018wellposednessadvances Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Liu, Ruyi;Wu, Zhen;
Journal advances in difference equations
Year 2018
DOI
DOI not found
URL
http://link.springer.com/article/10.1186/s13662-018-1510-5
Keywords Keywords not found

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