Description

• Title:
  Existence of solutions on compact and non-compact intervals for semilinear impulsive differential inclusions with delay
• Creator:
  Benedetti, Irene;
  Rubbioni, Paola
• Description:
  In this paper we deal with impulsive Cauchy problems in Banach spaces governed by a delay semilinear differential inclusion $y'\in A(t)y$ $ + F(t,y_t)$. The family $\{A(t)\}_{t\in [0,b]}$ of linear operators is supposed to generate an evolution operator and $F$ is a upper Carath\`eodory type multifunction. We first provide the existence of mild solutions on a compact interval and the compactness of the solution set. Then we apply this result to obtain the existence of mild solutions for the impulsive Cauchy problem on non-compact intervals.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2008.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 32, No 2 (December 2008); 227 - 245;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.047/8781
• Subject:
  Semilinear differential inclusions;
  impulsive Cauchy problems;
  delay differential inclusions;
  mild solutions;
  condensing multifunctions;
  34G25;
  34K45
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.047
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other