Boundary value problems for the diffusion equation with piecewise continuous time delay

A study is made of partial differential equations with piecewise constant arguments. Boundary value problems for three types of equations are discussed delayed; alternately of advanced and retarded type; and most importantly, an equation of neutral type (that is, including the derivative at differen...

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Main Authors: Joseph Wiener, Lokenath Debnath
Format: Article
Language:English
Published: Wiley 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171297000239
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author Joseph Wiener
Lokenath Debnath
author_facet Joseph Wiener
Lokenath Debnath
author_sort Joseph Wiener
collection DOAJ
description A study is made of partial differential equations with piecewise constant arguments. Boundary value problems for three types of equations are discussed delayed; alternately of advanced and retarded type; and most importantly, an equation of neutral type (that is, including the derivative at different values of time t).
format Article
id doaj-art-0e6f724ad2384afbb4de12198eecc220
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1997-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-0e6f724ad2384afbb4de12198eecc2202025-02-03T05:48:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120118719510.1155/S0161171297000239Boundary value problems for the diffusion equation with piecewise continuous time delayJoseph Wiener0Lokenath Debnath1Department of Mathematics, University of Texas - Pan American, Edinburg, Texas 78539, USADepartment of Mathematics, University of Central Florida, Orlando, Florida 32816, USAA study is made of partial differential equations with piecewise constant arguments. Boundary value problems for three types of equations are discussed delayed; alternately of advanced and retarded type; and most importantly, an equation of neutral type (that is, including the derivative at different values of time t).http://dx.doi.org/10.1155/S0161171297000239partial differential equationspiecewise constant arguments oscillationsand stability.
spellingShingle Joseph Wiener
Lokenath Debnath
Boundary value problems for the diffusion equation with piecewise continuous time delay
International Journal of Mathematics and Mathematical Sciences
partial differential equations
piecewise constant arguments
oscillations
and stability.
title Boundary value problems for the diffusion equation with piecewise continuous time delay
title_full Boundary value problems for the diffusion equation with piecewise continuous time delay
title_fullStr Boundary value problems for the diffusion equation with piecewise continuous time delay
title_full_unstemmed Boundary value problems for the diffusion equation with piecewise continuous time delay
title_short Boundary value problems for the diffusion equation with piecewise continuous time delay
title_sort boundary value problems for the diffusion equation with piecewise continuous time delay
topic partial differential equations
piecewise constant arguments
oscillations
and stability.
url http://dx.doi.org/10.1155/S0161171297000239
work_keys_str_mv AT josephwiener boundaryvalueproblemsforthediffusionequationwithpiecewisecontinuoustimedelay
AT lokenathdebnath boundaryvalueproblemsforthediffusionequationwithpiecewisecontinuoustimedelay