Ramkumar Kasinathan and Ravikumar Kasinathan (2024) Onneutral integrodifferential equations with state-dependent delay in Banach spaces. Onneutral integrodifferential equations with state-dependent delay in Banach spaces, 35 (52).

[thumbnail of On neutral integrodifferential equations with state-dependent delay in Banach spaces.pdf] Text
On neutral integrodifferential equations with state-dependent delay in Banach spaces.pdf - Published Version
Download (365kB)

Abstract

In this work, we investigate the existence of mild solution for semilinear integro-differential
systems and semilinear neutral integro-differential systems with state-dependent delay in
Banach spaces. Using Mönch’s fixed point theorem, the theory of Grimmer’s resolvent oper
ator and the idea of measures of non-compactness, we prove the existence results. At the end,
an example is given to further illustrate the conclusions drawn from the theoretical study.

Item Type: Article
Uncontrolled Keywords: Integrodifferential equations · State-dependent delay · Mild solution · Resolvent operator · Semigroup theory · Fixed point theorems
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Dr. B Sivakumar
Date Deposited: 11 Dec 2025 05:21
Last Modified: 11 Dec 2025 05:21
URI: https://ir.psgcas.ac.in/id/eprint/2574

Actions (login required)

View Item
View Item