Description

• Title:
  Transversality conditions for the existence of solutions of first-order discontinuous functional differential equations
• Creator:
  Pouso, Rodrigo López;
  Albés, Ignacio Márquez;
  Rodríguez-López, Jorge
• Description:
  We are concerned with the existence of extremal solutions to a large class of first-order functional differential problems under weak regularity assumptions. Our technique involves multivalued analysis and the method of lower and upper solutions in order to obtain a new existence result to a scalar Cauchy problem. As a consequence of this result and a monotone iterative method for discontinuous operators, we derive our main existence result which is illustrated by several examples concerning well-known models: a generalized logistic equation or second-order problems in the presence of dry friction.
• 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); 1 - 17;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/35216/29678 ;https://apcz.umk.pl/TMNA/article/view/35216/29679
• Subject:
  Discontinuous differential equation;
  functional differential equation;
  monotone iterative method;
  Primary;
  34A12;
  34A36;
  Secondary;
  34B15
• Identifier: https://apcz.umk.pl/TMNA/article/view/35216
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other