Existence results for impulsive neutral functional integrodifferential equations with infinite delay

By Jong‐Yeoul Park, Krishnan Balachandran, N. Annapoorani. 2009

58 citations recorded by the source corpus.

Abstract This paper is concerned with the existence of mild solutions for impulsive neutral functional integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using the Krasnoselski–Schaefer type fixed point theorem. An example is provided to illustrate the theory.

Subfields: Applied Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/c8356b5ce077aba0f5c6869d64ee55538f5f3867

How researchers see this paper

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In Applied Mathematics

1. M. Mallika Arjunan
2. Mark A. McKibben
3. E. Hernández M.
4. Hernán R. Henríquez
5. Subramaniam Selvi
6. V. Vijayakumar

In Control and Systems Engineering

1. M. Mallika Arjunan
2. Mark A. McKibben
3. E. Hernández M.
4. Hernán R. Henríquez
5. Subramaniam Selvi
6. V. Vijayakumar

In Numerical Analysis

1. Mark A. McKibben
2. M. Mallika Arjunan
3. Hernán R. Henríquez
4. E. Hernández M.
5. Subramaniam Selvi

Citations in the corpus

• Existence results for abstract impulsive second-order neutral functional differential equations (2009, background): “Several authors [3, 4, 22, 25, 27, 28, 29] have investigated the impulsive differential equations.”
• Controllability results for impulsive differential systems with finite delay (2012, background): “[13] and Samoilenko and Perestyuk [22] and the papers of [1, 4, 7, 8, 18, 24, 25], where the numerous properties of their solutions are studied and detailed bibliographies are given.”