Nonlinear impulsive Volterra integral equations in Banach spaces and applications

DOI10.1155/S1048953393000048zbMath0770.45012MaRDI QIDQ2366445

Dajun Guo

Publication date: 29 June 1993

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46840

zbMATH Keywords

Banach spacesinitial value problemsnonlinear Volterra integral equationsmaximal solutionscone and partial orderingimpulsive Volterra integral equationsinfinite system for impulsive differential equations

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Nonlinear differential equations in abstract spaces (34G20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (12)

Optimal control of impulsive Volterra equations with variable impulse times ⋮ Unnamed Item ⋮ Solvability of nonlinear impulsive Volterra integral inclusions and functional differential inclusions ⋮ Professor Dajun Guo: a true mathematician and educator ⋮ Solutions for second order impulsive integro-differential equation on unbounded domains in Banach spaces ⋮ On the singular impulsive functional integral equations involving nonlocal conditions ⋮ Solutions of two-point BVPs at resonance for higher order impulsive differential equations ⋮ Existence theorems of solutions for nonlinear impulsive Volterra integral equations in Banach spaces ⋮ Existence theorems of solutions for nonlinear impulsive Volterra integral equations in Banach spaces ⋮ Solutions of Lidstone BVPs for higher-order impulsive differential equations ⋮ Existence of solutions for nonlinear impulsive Hammerstein integral equations in Banach spaces ⋮ Hyers-Ulam stability of impulsive integral equations

This page was built for publication: Nonlinear impulsive Volterra integral equations in Banach spaces and applications