Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 7 (2012), 49 -- 68

GLOBAL EXISTENCE FOR VOLTERRA--FREDHOLM TYPE NEUTRAL IMPULSIVE FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS

V. Vijayakumar, S. Sivasankaran and M. Mallika Arjunan

Abstract. In this paper, we study the global existence of solutions for the initial value problems for Volterra-Fredholm type neutral impulsive functional integrodifferential equations. Using the Leray-Schauder's Alternative theorem, we derive conditions under which a solution exists globally. An application is provided to illustrate the theory.

2010 Mathematics Subject Classification: 34A60, 34K05, 34K10, 45N05, 45J05.
Keywords: A priori bounds; Neutral impulsive functional integrodifferential equations; Global existence.

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V. Vijayakumar S. Sivasankaran
Department of Mathematics, Department of Mathematics,
Info Institute of Engineering, University College,
Kovilpalayam, Coimbatore-641 107, Sungkyunkwan University,
Tamilnadu, India. Suwon 440-746, South Korea.
e-mail: vijaysarovel@gmail.com e-mail: sdsiva@gmail.com.
M. Mallika Arjunan
Department of Mathematics,
Karunya University,
Karunya Nagar, Coimbatore-641 114,
Tamilnadu, India.
e-mail: arjunphd07@yahoo.co.in


http://www.utgjiu.ro/math/sma