Necessary conditions of optimality for second-order nonlinear impulsive differential equations

DOI10.1155/2007/40160zbMath1140.49018OpenAlexW2005318239WikidataQ59213555 ScholiaQ59213555MaRDI QIDQ2472257

Yunfei Peng, Wei Wei, Xiaoling Xiang

Publication date: 20 February 2008

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54309

zbMATH Keywords

maximum principleexistence of optimal controlsinfinite dimensional spaces

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27) Optimality conditions for problems in abstract spaces (49K27)

Related Items (5)

Second-order nonlinear impulsive integro-differential equations of mixed type with time-varying generating operators and optimal controls on Banach spaces ⋮ A class of differential equations with impulses at variable times on Banach spaces ⋮ Positive solutions for impulsive differential equations with mixed monotonicity and optimal control ⋮ A class of semilinear evolution equations with impulses at variable times on Banach spaces ⋮ Necessary conditions of optimality for second-order nonlinear impulsive integro-differential equations on Banach spaces

Cites Work

• Necessary conditions of optimality for impulsive systems on Banach spaces
• A general class of nonlinear impulsive integral differential equations and optimal controls on Banach spaces
• Optimal control for a class of strongly nonlinear impulsive equations in Banach spaces
• The maximum principle for optimum systems with distributed parameters
• Delay systems and optimal control
• Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
• Necessary conditions of optimality for differential inclusions on banach space
• Second-order nonlinear impulsive evolution equations with time-varying generating operators and optimal controls
• Impulsive control theory
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