Necessary conditions of optimality for second-order nonlinear impulsive integro-differential equations on Banach spaces

DOI10.1016/J.NONRWA.2009.11.007zbMath1204.49019OpenAlexW2005559483MaRDI QIDQ984601

Yunfei Peng, Xiaoling Xiang

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.11.007

zbMATH Keywords

optimal controlexistencecompactnessnecessary conditions of optimalityimpulsive problemsfractional power space\(PC-\alpha \)-mild solutionunbounded time-varying operator matrix

Mathematics Subject Classification ID

Impulsive optimal control problems (49N25) Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (5)

Approximate controllability and optimal controls of fractional evolution systems in abstract spaces ⋮ Second-order nonlinear impulsive integro-differential equations of mixed type and optimal controls in fractional power spaces ⋮ A class of BVPs for first order impulsive integro-differential equations ⋮ Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces ⋮ Mild solution of second-order impulsive integro-differential evolution equations of Volterra type in Banach spaces

Cites Work

• A general class of nonlinear impulsive integral differential equations and optimal controls on Banach spaces
• Second order nonlinear impulsive time-variant systems with unbounded perturbation and optimal controls
• Optimal control for a class of strongly nonlinear impulsive equations in Banach spaces
• Semigroups of linear operators and applications to partial differential equations
• Second-order nonlinear impulsive integro-differential equations of mixed type with time-varying generating operators and optimal controls on Banach spaces
• Optimal feedback control for a class of strongly nonlinear impulsive evolution equations
• Necessary conditions of optimality for second-order nonlinear impulsive differential equations
• Measure solutions for impulsive evolution equations with measurable vector fields
• Existence of Optimal Controls for a General Class of Impulsive Systems on Banach Spaces
• Second-order nonlinear impulsive evolution equations with time-varying generating operators and optimal controls
• Impulsive control theory
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