Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces
type: Item
instance of: scholarly article
title: Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces
zbMATH Open document ID: 1157.45005
published in: Journal of Computational and Applied Mathematics
publication date: 2008-11-18T00:00:00Z
review text: The authors study the existence of solutions to a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces. For this purpose, a monotone iterative technique and lower and upper solutions are used. Furthermore, under wide monotonicity conditions and using noncompactness measure conditions, they obtain the existence of extremal solutions and a unique solution between lower and upper solutions. At the end of the paper, the theoretical results are applied to an illustrative example.
reviewed by: Iulian Stoleriu
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45G15
Mathematics Subject Classification ID: 45L05
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 5368388
zbMATH Keywords: monotone iterative technique
zbMATH Keywords: initial problem
zbMATH Keywords: noncompactness measure
zbMATH Keywords: system of nonlinear mixed type implicit impulsive integro-differential equations
zbMATH Keywords: Banach spaces
zbMATH Keywords: extremal solutions
zbMATH Keywords: lower and upper solutions
author: Hengyou Lan
MaRDI profile type: Publication
full work available at URL: j.cam.2007.11.021
OpenAlex ID: W2072985667
cites work: Q4853771
cites work: Q3125735
cites work: Impulsive periodic boundary value problems of first-order differential equations
cites work: Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations
cites work: Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations
cites work: Periodic boundary value problems for first-order impulsive ordinary differential equations
cites work: The monotone iterative technique for impulsive hybrid set valued integro-differential equations
cites work: Q5312824
cites work: Nonlinear boundary value problems for first order impulsive functional differential equations
cites work: Periodicity in a generalized ecological competition system governed by impulsive differential equations with delays
cites work: Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics
cites work: Density-dependent birth rate, birth pulses and their population dynamic consequences
cites work: Optimal impulsive harvesting policy for single population
cites work: A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences
cites work: Dynamics of infectious diseases and pulse vaccination: Teasing apart the embedded resonance effects
cites work: The dynamic complexity of a three-species Beddington-type food chain with impulsive control strategy
cites work: A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed point theorem
cites work: The differential equations on time scales through impulsive differential equations
cites work: On discontinuous implicit and explicit abstract impulsive boundary value problems
cites work: Nonlinear boundary problem of first order impulsive integro-differential equations
cites work: Multiple positive solutions for first order nonlinear impulsive integro-differential equations in a Banach space
cites work: Q5437989
cites work: Monotone iterative technique for addressing impulsive integro-differential equations in Banach spaces
cites work: Q3430866
cites work: A unique solution of initial value problems for first order impulsive integro-differential equations of mixed type in Banach spaces
cites work: Extremal solutions of nonlinear first-order impulsive integro-differential equations in Banach spaces
cites work: About a generalization of Bellman-Bihari type inequalities for discontinuous functions and their applications
cites work: Hybrid metric dynamical systems with impulses
cites work: New comparison results for impulsive integro-differential equations and applications
cites work: Initial value problems for the second order mixed monotone type of impulsive differential equations in Banach spaces
cites work: Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems
cites work: Periodic boundary value problems for second-order impulsive integro-differential equations
cites work: Existence of periodic solution of order one of planar impulsive autonomous system
cites work: Q5185568
cites work: Q4716265
cites work: On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
cites work: Iterative algorithm for a system of variational inclusions involving \(H\)-accretive operators in Banach spaces
cites work: Fixed points of increasing operators in ordered Banach spaces and applications
cites work: Q3807603
cites work: Monotone iterative method for functional differential equations
cites work: Monotone iterative technique for semilinear elliptic systems
cites work: Monotone iterative technique for periodic boundary value problems with causal operators
cites work: Generalized monotone iterative method for initial value problems.
cites work: On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations.
cites work: Monotone method for first-order functional differential equations
cites work: The monotone iterative technique for three-point second-order integrodifferential boundary value problems with \(p\)-Laplacian
cites work: Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions
DOI: 10.1016/J.CAM.2007.11.021
description: scientific article; zbMATH DE number 5368388