In this paper we investigate the existence of solutions to some classes of boundary value problems for impulsive functional and neutral functional differential equations with infinite delay, using the nonlinear alternative of Leray-Schauder type.

In this paper, we study the existence of mild solutions for a class of abstract partial neutral functional–differential equations with state-dependent delay. 2006 Elsevier Inc. All rights reserved.

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During the last few years, a number of articles has been appeared in the literature, which are motivated by the old but very interesting papers by Driver [7, 8] and Driver, Sasser and Slater [10] dealing with the asymptotic behavior and the stability of the solutions of delay differential equations. See [2, 4, 5, 12, 13, 17-21, 27-41, 44]. These articles are concerned with the asymptotic behavi...

This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with term ?1???[?r?1?]?+?3???[???]=0. The obtained results extend, and simplify known in literature. are illustrated examples.