International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 2, Pages 339-346
doi:10.1155/S0161171292000425
A parabolic differential equation with unbounded piecewise constant delay
Joseph Wiener1
and Lokenath Debnath2
1Department of Mathematics, The University of Texas-Pan American, Edinburg 78539, Texas, USA
2Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA
Abstract
A partial differential equation with the argument [λt] is studied, where [•] denotes the greatest integer function. The infinite delay t−[λt] leads to difference equations of unbounded order.