Existence of Solutions for Second-Order Impulsive Neutral Functional Integrodifferential Equations with Infinite Delay

  • V. Vijayakumar DEPARTMENT OF MATHEMATICS, INFO INSTITUTE OF ENGINEERING, KOVILPALAYAM, COIMBATORE - 641 107, TAMIL NADU, INDIA
  • S. Sivasankaran
  • M. Mallika Arjunan

Abstract

In this paper, we study the existence of mild solutions for second-order impulsive neutral functional integrodifferential equations with infinite delay. The Hausdorff measure of noncompactness and  fixed point theorem are used, without  assuming compactness  on the associated family of operators.

Author Biography

V. Vijayakumar, DEPARTMENT OF MATHEMATICS, INFO INSTITUTE OF ENGINEERING, KOVILPALAYAM, COIMBATORE - 641 107, TAMIL NADU, INDIA
ASSISTANT PROFESSOR IN DEPARTMENT OF MATHEMATICS, INFO INSTITUTE OF ENGINEERING, KOVILPALAYAM, COIMBATORE - 641 107, TAMIL NADU, INDIA
Published
2012-05-20
Section
Articles