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

DOI10.1016/J.NA.2005.02.028zbMath1081.34077OpenAlexW2085826437MaRDI QIDQ556352

Fei Guo, Peg-Foo Siew, Yong-Hong Wu, Li Shan Liu

Publication date: 13 June 2005

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.2005.02.028

zbMATH Keywords

global solutionsimpulsive integro-differential systems

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20)

Related Items (6)

Global solutions of nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces ⋮ Continuous dependence and differentiability of solutions of second-order impulsive differential equations on initial values and impulsive points ⋮ Solutions to boundary value problem of fractional order on unbounded domains in a Banach space ⋮ Some new generalized retarded Gronwall-like inequalities and their applications in nonlinear systems ⋮ Existence of positive solution for second-order nonlinear impulsive singular differential equations of mixed type in Banach spaces ⋮ Mild solution of second-order impulsive integro-differential evolution equations of Volterra type in Banach spaces

Cites Work

• Iterative method for solutions and coupled quasi-solutions of nonlinear Fredholm integral equations in ordered Banach spaces
• 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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