Description

• Title:
  Anti-periodic problem for semilinear differential inclusions involving Hille-Yosida operators
• Creator:
  Anh, Nguyen Thi Van;
  Ke, Tran Dinh;
  Lan, Do
• Description:
  In this paper we are interested in the anti-periodic problem governed by a class of semilinear differential inclusions with linear parts generating integrated semigroups. By adopting the Lyapunov-Perron method and the fixed point argument for multivalued maps, we prove the existence of anti-periodic solutions. Furthermore, we study the long-time behavior of mild solutions in connection with anti-periodic solutions. Consequently, as the nonlinearity is of single-valued, we obtain the exponential stability of anti-periodic solutions. An application of theoretical results to a class of partial differential equations will be given.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2021 Topological Methods in Nonlinear Analysis;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2021.09.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 58, No 1 (September 2021); 275 - 305;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/35219/29684 ;https://apcz.umk.pl/TMNA/article/view/35219/29685
• Subject:
  Anti-periodic solution;
  Hille--Yosida operator;
  measure of noncompactness;
  fixed point theory;
  Primary;
  35B10;
  Secondary;
  47H10;
  47H08
• Identifier: https://apcz.umk.pl/TMNA/article/view/35219
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other