Existence results for neutral integro-differential systems with state-dependent delay in Banach spaces

V. Ushaa and M. Mallika Arjunanb,*

Existence results for neutral integro-differential systems with state-dependent delay in Banach spaces

Authors :

V. Usha^a and M. Mallika Arjunan^b,*

Author Address :

^aDepartment of Mathematics, PSG College of Arts and Science, Coimbatore - 641 014, Tamil Nadu, India.
^bDepartment of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India.

*Corresponding author.

Abstract :

Based on concepts for semigroups and Banach contraction principle, this manuscript is principally involved with existence of mild solutions for neutral integro-differential systems (NIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is also offered to demonstrate the attained theorem.

Keywords :

Integro-differential equations, state-dependent delay, Banach fixed point theorem, semigroup theory.

DOI :

Article Info :

Received : May 13, 2015; Accepted : June 19, 2015.