International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 1, Pages 187-195
doi:10.1155/S0161171297000239
Boundary value problems for the diffusion equation with piecewise continuous time delay
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
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).