Description

• Tytuł:
  Hausdorff product measures and $C^1$-solution sets of abstract semilinear functional differential inclusions
• Twórca:
  Xiao, Jian-Zhong;
  Wang, Zhi-Yong;
  Liu, Juan
• Opis:
  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.
• Dostępność obiektu:
  free access
• Prawa:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Data:
  2016.10.27
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Język:
  English
• Źródło:
  Topological Methods in Nonlinear Analysis; Vol 49, No 1 (March 2017); 273 - 298;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.076/10299 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.076/10300
• Temat i słowa kluczowe:
  Impulsive functional inclusion;
  cosine family of operators;
  fixed point for multivalued map;
  measure of noncompactness;
  47H10;
  34A60;
  34A37;
  34K30
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.076
• Dostawca danych:
  Akademicka Platforma Czasopism
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