Measure solutions for evolution equations with discontinuous vector fields and their optimal control

DOI10.1016/j.na.2004.12.027zbMath1153.49301OpenAlexW2033868055MaRDI QIDQ999493

Nasir Uddin Ahmed

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.12.027

zbMATH Keywords

optimal controldiscontinuous vector fieldsmeasure solutions

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Control/observation systems in abstract spaces (93C25) Existence theories for problems in abstract spaces (49J27)

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Cites Work

• Peano's theorem in an infinite-dimensional Hilbert space is false even in a weakened formulation
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• A brief biography and survey of collected works of V. Lakshmikantham
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• A general result on measure solutions for semilinear evolution equations
• Measure solutions of impulsive evolution differential inclusions and optimal control.
• Measure solutions for impulsive evolution equations with measurable vector fields
• A Remark on Existence of Solutions of Infinite-Dimensional Noncompact Optimal Control Problems
• Existence of Optimal Controls for a General Class of Impulsive Systems on Banach Spaces
• Systems governed by impulsive differential inclusions on Hilbert spaces
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