The generalized Gronwall inequality and its application to periodic solutions of integrodifferential impulsive periodic system on Banach space

DOI10.1155/2008/430521zbMath1161.45007OpenAlexW2128364343WikidataQ59217317 ScholiaQ59217317MaRDI QIDQ1008438

Wei Wei, Qi'an Chen, JinRong Wang, Xiaoling Xiang

Publication date: 30 March 2009

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129903

zbMATH Keywords

periodic solutionsBanach spaceGronwall's inequalityimpulsive periodic evolution operatorintegrodifferential impulsive periodic systems

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Periodic solutions of integral equations (45M15) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (7)

A class of nonlocal impulsive problems for integrodifferential equations in Banach spaces ⋮ Existence and uniqueness results for fractional integrodifferential equations with boundary value conditions ⋮ Opial type integral inequalities for fractional derivatives ⋮ A class of nonlinear integrodifferential impulsive periodic systems of mixed type and optimal controls on Banach space ⋮ Some new generalized retarded Gronwall-like inequalities and their applications in nonlinear systems ⋮ Boundary value problems for fractional differential equations involving Caputo derivative in Banach spaces ⋮ Existence results for a coupled system of nonlinear fractional differential equations in Banach spaces

Cites Work

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• Existence of Optimal Controls for a General Class of Impulsive Systems on Banach Spaces
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