On equations with delay depending on solution

Alexander Domoshnitsky; Michael Drakhlin; Elena Litsyn

doi:10.1016/S0362-546X(01)00132-8

On equations with delay depending on solution

Alexander Domoshnitsky
, Michael Drakhlin
, Elena Litsyn

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

45 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 language	English
Pages (from-to)	689-701
Number of pages	13
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	49
Issue number	5
DOIs	https://doi.org/10.1016/S0362-546X(01)00132-8
State	Published - 1 May 2002

Keywords

Functional differential equations
State dependent delay absorption method

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/S0362-546X(01)00132-8

Cite this

@article{114b02c6d40d47d6aea877ecf0d64978,

title = "On equations with delay depending on solution",

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'.",

keywords = "Functional differential equations, State dependent delay absorption method",

author = "Alexander Domoshnitsky and Michael Drakhlin and Elena Litsyn",

year = "2002",

month = may,

day = "1",

doi = "10.1016/S0362-546X(01)00132-8",

language = "English",

volume = "49",

pages = "689--701",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd.",

number = "5",

}

TY - JOUR

T1 - On equations with delay depending on solution

AU - Domoshnitsky, Alexander

AU - Drakhlin, Michael

AU - Litsyn, Elena

PY - 2002/5/1

Y1 - 2002/5/1

N2 - 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'.

AB - 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'.

KW - Functional differential equations

KW - State dependent delay absorption method

UR - https://www.scopus.com/pages/publications/0036568046

U2 - 10.1016/S0362-546X(01)00132-8

DO - 10.1016/S0362-546X(01)00132-8

M3 - Article

AN - SCOPUS:0036568046

SN - 0362-546X

VL - 49

SP - 689

EP - 701

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

On equations with delay depending on solution

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this