Nonlinear integro-differential equations and optimal control problems on time scales

DOI10.1016/j.camwa.2010.10.013zbMath1211.34116OpenAlexW2013627484MaRDI QIDQ534953

Yong-Cai Geng, Sumit K. Garg

Publication date: 10 May 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.10.013

zbMATH Keywords

optimal controlweak solutionexistencetime scalesnecessary conditions of optimality

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Optimality conditions for problems involving relations other than differential equations (49K21) Dynamic equations on time scales or measure chains (34N05)

Related Items (8)

Optimality necessary conditions for an optimal control problem on time scales ⋮ Existence and uniqueness of solutions to the second order fuzzy dynamic equations on time scales ⋮ Approximate controllability and optimal controls of fractional evolution systems in abstract spaces ⋮ Qualitative results for nonlinear integro-dynamic equations via integral inequalities ⋮ Filippov-Pliss lemma for dynamical inclusions on a time scale ⋮ Hamilton-Jacobi theory over time scales and applications to linear-quadratic problems ⋮ Properties of certain iterated dynamic integrodifferential equation on time scales ⋮ Sufficient conditions for uniform exponential stability and \(h\)-stability of some classes of dynamic equations on arbitrary time scales

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