International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 2, Pages 209-228
doi:10.1155/S0161171295000275

A survey of partial differential equations with piecewise continuous arguments

Joseph Wiener1 and Lokenath Debnath2

1Department of Mathematics, University of Texas-Pan American, Edinburg 78539, Texas, USA
2Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA

Abstract

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.