Description

• Title:
  Hausdorff product measures and $C^1$-solution sets of abstract semilinear functional differential inclusions
• Creator:
  Xiao, Jian-Zhong;
  Wang, Zhi-Yong;
  Liu, Juan
• Description:
  A second order semilinear neutral functional differential inclusion with nonlocal conditions and multivalued impulse characteristics in a separable Banach space is considered. By developing appropriate computing techniques for the Hausdorff product measures of noncompactness, the topological structure of $C^1$-solution sets is established; and some interesting discussion is offered when the multivalued nonlinearity of the inclusion is a weakly upper semicontinuous map satisfying a condition expressed in terms of the Hausdorff measure.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.10.27
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 1 (March 2017); 273 - 298;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.076/10299 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.076/10300
• Subject:
  Impulsive functional inclusion;
  cosine family of operators;
  fixed point for multivalued map;
  measure of noncompactness;
  47H10;
  34A60;
  34A37;
  34K30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.076
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other