EXISTENCE OF GLOBAL SOLUTIONS FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS


Authors

S. SIVASANKARAN - Department of Mathematics, University College, Sungkyunkwan University, Suwon 440-746, South Korea. M. MALLIKA ARJUNAN - Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore - 641 114, Tamil Nadu, India. V. VIJAYAKUMAR - Department of Mathematics, Info Institute of Engineering, Kovilpalayam, Coimbatore - 641 107, Tamil Nadu, India.


Abstract

In this paper, we study the existence of global solutions for a class of impulsive abstract functional differential equation with nonlocal conditions. The results are obtained by using the Leray-Schauder alternative fixed point theorem. An example is provided to illustrate the theory.


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