International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 1, Pages 1-27
doi:10.1155/S0161171285000011
Reducible functional differential equations
S.M. Shah1
and Joseph Wiener2
1Department of Mathematics, University of Kentucky, Lexington 40506, Kentucky, USA
2Department of Mathematics, Pan American University, Edinburg 78539, Texas, USA
Abstract
This is the first part of a survey on analytic solutions of functional differential equations (FDE). Some classes of FDE that can be reduced to ordinary differential equations are considered since they often provide an insight into the structure of analytic solutions to equations with more general argument deviations. Reducible FDE also find important applications in the study of stability of differential-difference equations and arise in a number of biological models.