Description

• Title:
  Some two-point problems for second order integro-differential equations with argument deviations
• Creator:
  Mukhigulashvili, Sulkhan;
  Novotná, Veronika
• Description:
  In the paper we describe the classes of unique solvability of the Dirichlet and mixed two point boundary value problems for the second order linear integro-differential equation $$ u''(t)=p_0(t)u(t)+p_1(t)u(\tau_1(t))+\int_{a}^{b}p(t,s)u(\tau(s))ds+ q(t). $$% On the basis of the obtained and, in some sense, optimal results for the linear problems, by the a priori boundedness principle we prove the theorems of solvability and unique solvability for the second order nonlinear functional differential equations under the mentioned boundary conditions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.10.20
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 2 (December 2019); 459 - 476;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.045/23491 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.045/23492
• Subject:
  Integro-differential equations;
  Dirichlet and mixed problems;
  unique solvability;
  a priori boundedness principle;
  Primary;
  34K06;
  34K10;
  Secondary;
  34B15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.045
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other