Existence of solutions to neutral differential equations with deviated argument

M. Muslim, Indian Institute of Science, Bangalore, India
D. Bahuguna, Indian Institute of Technology, Kanpur, India

E. J. Qualitative Theory of Diff. Equ., No. 27. (2008), pp. 1-12.

Communicated by S. K. Ntouyas.Received on 2008-06-18
Appeared on 2008-09-10

Abstract: In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space $X.$ With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the given problem. Finally, we give examples to illustrate the applications of the abstract results.

You can download the full text of this paper in DVI, PostScript or PDF format.