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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Format: | Article |
Language: | English |
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Wiley
1997-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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 |