Existence and uniqueness of nonlinear impulsive integro-differential equations

DOI10.3934/DCDSB.2006.6.1191zbMath1112.45004OpenAlexW2314665548MaRDI QIDQ862133

Tonny Paul, Annamalai Anguraj

Publication date: 5 February 2007

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2006.6.1191

zbMATH Keywords

semigroupsBanach contraction principleevolution equationsBanach spaceimpulsive integro-differential equationimpulsive conditionsmild and classical solutions

Mathematics Subject Classification ID

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

Related Items (4)

Approximate solutions of impulsive integro-differential equations ⋮ Controllability of impulsive mixed type Volterra–Fredholm stochastic systems with nonlocal conditions ⋮ Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces ⋮ Mild solution of second-order impulsive integro-differential evolution equations of Volterra type in Banach spaces

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