A general class of nonlinear impulsive integral differential equations and optimal controls on Banach spaces
type: Item
instance of: scholarly article
title: A general class of nonlinear impulsive integral differential equations and optimal controls on Banach spaces
zbMATH Open document ID: 1162.34356
published in: Discrete and Continuous Dynamical Systems
publication date: 2008-07-29T00:00:00Z
review text: The authors consider a quite general impulsive integral differential equation on a Banach space which may be infinite dimensional and prove the existence of a unique PWC-\(\alpha\)-mild solution by using a contraction map and a generalized Gronwall lemma. Furthermore, the existence of optimal controls of systems governed by impulsive integral differential equations is proved. Several conditions are stated which cannot be described shortly. An example is given which fulfills obviously the above given conditions.
reviewed by: Marianne Reichert
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 49K27
Mathematics Subject Classification ID: 34K45
zbMATH DE Number: 5305505
zbMATH Keywords: semigroup
zbMATH Keywords: fractional power space
zbMATH Keywords: integral operator
zbMATH Keywords: compactness
zbMATH Keywords: optimal control
zbMATH Keywords: existence
author: X. Xiang
author: Yunfei Peng
author: Wei Wei
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5305505