On well-posedness of an initial value problem for nonlinear second-order impulsive integro-differential equations of Volterra type in Banach spaces

DOI10.1016/J.JMAA.2005.12.032zbMath1090.45007OpenAlexW2015123784MaRDI QIDQ820047

Yong-Hong Wu, Xin Guang Zhang, Li Shan Liu

Publication date: 6 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.032

zbMATH Keywords

iterative schemeinitial value problemerror estimateBanach spaceunique solutiongeneralized Banach fixed point theoremnonlinear second-order impulsive integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05) Theoretical approximation of solutions to integral equations (45L05)

Related Items (7)

A unique positive solution for \(n\)th-order nonlinear impulsive singular integro-differential equations on unbounded domains in Banach spaces ⋮ Second-order nonlinear impulsive integro-differential equations of mixed type with time-varying generating operators and optimal controls on Banach spaces ⋮ Impulsive integral BVP for nonlinear integro-differential equation with monotone homomorphism in Banach spaces ⋮ Positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro-differential equation in Banach spaces ⋮ Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces ⋮ Second-order nonlinear impulsive integro-differential equations of mixed type and optimal controls in fractional power spaces ⋮ Solutions to fractional Sobolev-type integro-differential equations in Banach spaces with operator pairs and impulsive conditions

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