International Journal of Mathematics and Mathematical Sciences 
Volume 6 (1983), Issue 4, Pages 671-703
doi:10.1155/S0161171283000599

Advanced differential equations with piecewise constant argument deviations

S. M. Shah1 and Joseph Wiener2

 1Department of Mathematics, University of Kentucky, Lexington 40502, Kentucky, USA
2Department of Mathematics, Pan American University, Edinburg 78539, Texas, USA
Received 15 November 1983

Abstract

Functional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length.