On discontinuous implicit and explicit abstract impulsive boundary value problems
type: Item
instance of: scholarly article
title: On discontinuous implicit and explicit abstract impulsive boundary value problems
zbMATH Open document ID: 0985.34050
DOI: 10.1016/S0362-546X(98)00305-8
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-05-10T00:00:00Z
review text: Here, a general boundary value problem is studied for abstract impulsive differential equations. The differential equation is in implicit form and also functional, including, for example, implicit integro-differential equations. The boundary conditions are in a very general form (implicit and functional), covering initial and periodic boundary conditions and some feedback properties. No continuity conditions are imposed on the nonlinearities involved in the problems. The authors give existence and approximation results and, under additional conditions, a constructive existence result. Examples and particular cases are considered.
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 1512503
zbMATH Keywords: impulsive differential equations
zbMATH Keywords: implicit differential equations
author: S. Carl
author: S. Heikkilä
reviewed by: Juan J. Nieto
MaRDI profile type: Publication
full work available at URL: s0362-546x(98)00305-8
OpenAlex ID: W2075638552
description: scientific article; zbMATH DE number 1512503