Advanced differential equations with piecewise constant argument deviations

Functional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length.

Bibliographic Details
Main Authors: S. M. Shah, Joseph Wiener
Format: Article
Language:English
Published: Hindawi Limited 1983-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171283000599
id doaj-33edbd6d6bd24e7898645c1b16f6a4a5
record_format Article
spelling doaj-33edbd6d6bd24e7898645c1b16f6a4a52020-11-24T21:11:21ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016467170310.1155/S0161171283000599Advanced differential equations with piecewise constant argument deviationsS. M. Shah0Joseph Wiener1Department of Mathematics, University of Kentucky, Lexington 40502, Kentucky, USADepartment of Mathematics, Pan American University, Edinburg 78539, Texas, USAFunctional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length.http://dx.doi.org/10.1155/S0161171283000599functional differential equationadvanced equationdifference equationpiecewise constant deviationinitial-value problemsolutionexistenceuniquenessbackward continuationgrowthstability.
collection DOAJ
language English
format Article
sources DOAJ
author S. M. Shah
Joseph Wiener
spellingShingle S. M. Shah
Joseph Wiener
Advanced differential equations with piecewise constant argument deviations
International Journal of Mathematics and Mathematical Sciences
functional differential equation
advanced equation
difference equation
piecewise constant deviation
initial-value problem
solution
existence
uniqueness
backward continuation
growth
stability.
author_facet S. M. Shah
Joseph Wiener
author_sort S. M. Shah
title Advanced differential equations with piecewise constant argument deviations
title_short Advanced differential equations with piecewise constant argument deviations
title_full Advanced differential equations with piecewise constant argument deviations
title_fullStr Advanced differential equations with piecewise constant argument deviations
title_full_unstemmed Advanced differential equations with piecewise constant argument deviations
title_sort advanced differential equations with piecewise constant argument deviations
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1983-01-01
description Functional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length.
topic functional differential equation
advanced equation
difference equation
piecewise constant deviation
initial-value problem
solution
existence
uniqueness
backward continuation
growth
stability.
url http://dx.doi.org/10.1155/S0161171283000599
work_keys_str_mv AT smshah advanceddifferentialequationswithpiecewiseconstantargumentdeviations
AT josephwiener advanceddifferentialequationswithpiecewiseconstantargumentdeviations
_version_ 1716753707586027520