In this paper we discuss the existence of mild and classical solutions for a class of abstract non-autonomous neutral functional differential equations. An application to partial neutral differential equations is considered.

This paper presents a coincidence theory for general classes of maps based on the notion of a Phi-essential map (we will also discuss Phi-epi maps). (C)2017 All rights reserved.

In this paper using some new dynamic inequalities we present some oscillation results for higher order dynamic equation {r(n-1) (t) phi(alpha n-1) [(r(n-2) (t) (...(r(1) (t) phi(alpha 1) [x(Delta) (t)])(Delta) ...)(Delta ...