A survey of partial differential equations with piecewise continuous arguments

Some work is described and new topics are posed on initial and boundary-value problems for partial differential equations whose arguments have intervals of constancy. These equations are of considerable theoretical and applied interest.

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Bibliographic Details
Main Authors: Joseph Wiener, Lokenath Debnath
Format: Article
Language:English
Published: Wiley 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171295000275
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author Joseph Wiener
Lokenath Debnath
author_facet Joseph Wiener
Lokenath Debnath
author_sort Joseph Wiener
collection DOAJ
description Some work is described and new topics are posed on initial and boundary-value problems for partial differential equations whose arguments have intervals of constancy. These equations are of considerable theoretical and applied interest.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1995-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-f7cb2272a1b54eccadb36d0ad55ce8822025-02-03T01:09:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118220922810.1155/S0161171295000275A survey of partial differential equations with piecewise continuous argumentsJoseph Wiener0Lokenath Debnath1Department of Mathematics, University of Texas-Pan American, Edinburg, Texas 78539, USADepartment of Mathematics, University of Central Florida, Orlando, Florida 32816, USASome work is described and new topics are posed on initial and boundary-value problems for partial differential equations whose arguments have intervals of constancy. These equations are of considerable theoretical and applied interest.http://dx.doi.org/10.1155/S0161171295000275partial differential equationspiecewise constant delay boundary value probleminitial value problemabstract Cauchy problemHilbert spaceloaded equationwave equation.
spellingShingle Joseph Wiener
Lokenath Debnath
A survey of partial differential equations with piecewise continuous arguments
International Journal of Mathematics and Mathematical Sciences
partial differential equations
piecewise constant delay
boundary value problem
initial value problem
abstract Cauchy problem
Hilbert space
loaded equation
wave equation.
title A survey of partial differential equations with piecewise continuous arguments
title_full A survey of partial differential equations with piecewise continuous arguments
title_fullStr A survey of partial differential equations with piecewise continuous arguments
title_full_unstemmed A survey of partial differential equations with piecewise continuous arguments
title_short A survey of partial differential equations with piecewise continuous arguments
title_sort survey of partial differential equations with piecewise continuous arguments
topic partial differential equations
piecewise constant delay
boundary value problem
initial value problem
abstract Cauchy problem
Hilbert space
loaded equation
wave equation.
url http://dx.doi.org/10.1155/S0161171295000275
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