On equations with delay depending on solution

Alexander Domoshnitsky, Michael Drakhlin, Elena Litsyn

Research output: Contribution to journalArticlepeer-review

44 Scopus citations

Abstract

The functional differential equations (FDE) with delay dependence on solutions was addressed. Multipoint boundary value problems for the nth order FDEs were investigated. The problem of uniqueness and convergence of the successive approximations for the neutral delayed differential equations was also addressed. The basic method of investigation of the nonlinear equation was also addressed as an 'absorption method'.

Original languageEnglish
Pages (from-to)689-701
Number of pages13
JournalNonlinear Analysis, Theory, Methods and Applications
Volume49
Issue number5
DOIs
StatePublished - 1 May 2002

Keywords

  • Functional differential equations
  • State dependent delay absorption method

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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