International Journal of Mathematics and Mathematical Sciences
Volume 6 (1983), Issue 2, Pages 243-269
doi:10.1155/S0161171283000216

Distributional and entire solutions of ordinary differential and functional differential equations

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 25 February 1983

Copyright © 1983 S. M. Shah and Joseph Wiener. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A brief survey of recent results on distributional and entire solutions of ordinary differential equations (ODE) and functional differential equations (FDE) is given. Emphasis is made on linear equations with polynomial coefficients. Some work on generalized-function solutions of integral equations is also mentioned.