Extendability and Optimal Control After Quenching for Some Ordinary Differential Equations

Ping Lin ()
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Ping Lin: Northeast Normal University

Journal of Optimization Theory and Applications, 2016, vol. 168, issue 3, No 3, 769-784

Abstract: Abstract This paper first studies the extendability after quenching for some ordinary differential equations. With respect to a solution, which quenches at finite time, we give a criterion of its non-extendability after quenching; it implies a necessary condition of extendability after quenching for this solution. Then, we consider an optimal control problem after quenching. We establish the Pontryagin’s maximum principle to this problem.

Keywords: Quenching; Nonlinear ordinary differential equations; Extended solution after quenching; Optimal control after quenching; 49J15; 34A34 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-015-0858-x

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