Initial value problems for nonlinear second order impulsive integro-differential equations of mixed type in Banach spaces

DOI10.1016/J.NA.2005.09.004zbMath1093.45006OpenAlexW2069742732MaRDI QIDQ2490791

Li Shan Liu, Xin Guang Zhang

Publication date: 18 May 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.09.004

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 (8)

Periodic solution for second-order impulsive differential inclusions with relativistic operator ⋮ A unique positive solution for \(n\)th-order nonlinear impulsive singular integro-differential equations on unbounded domains in 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 ⋮ Positive fixed point of strict set contraction operators on ordered Banach spaces and applications ⋮ Existence of positive solution for second-order nonlinear impulsive singular differential equations of mixed type in Banach spaces ⋮ On the existence of solutions for nonlinear first-order implicit impulsive integro-differential equations ⋮ Second-order nonlinear impulsive evolution equations with time-varying generating operators and optimal controls

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• Existence theorems of global solutions of initial value problems for nonlinear integrodifferential equations of mixed type in Banach spaces and applications
• Initial value problems for the second order mixed monotone type of impulsive differential equations in Banach spaces
• A unique solution of initial value problems for first order impulsive integro-differential equations of mixed type in Banach spaces
• Solutions of nonlinear integrodifferential equations of mixed type in Banach spaces

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