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Relaxation theorems, differential inclusions, and Filippov's theorem for relaxed controls in semilinear infinite dimensional systems

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Publication:1332152
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DOI10.1006/jdeq.1994.1097zbMath0806.93028OpenAlexW2049996871MaRDI QIDQ1332152

Hector O. Fattorini

Publication date: 8 September 1994

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1994.1097

zbMATH Keywords

differential inclusionsapproximationFilippov's theoremrelaxation theoremssemilinear infinite dimensional systems


Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential inclusions (34A60) Control/observation systems in abstract spaces (93C25) Differential inequalities involving functions of a single real variable (34A40)


Related Items

Relaxation of optimal control problems driven by nonlinear evolution equations, Optimal chattering controls for viscous flow, Optimal control problems for distributed parameter systems in Banach spaces, Measure solutions for semilinear systems with unbounded nonlinearities



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