International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 3, Pages 497-501
doi:10.1155/S0161171282000465

A singular functional-differential equation

P.D. Siafarikas

Department of Mathematics, University of Patras, Patras, Greece

Abstract

The representation of the Hardy-Lebesque space by means of the shift operator is used to prove an existence theorem for a singular functional-differential equation which yields, as a corollary, the well known theory of Frobenius for second order differential equations.