Bheeman Radhakrishnan, Aruchamy Mohanraj, Velu Vinoba
Abstract:
In this article, we prove the existence of mild and strong
solutions for nonlinear impulsive integro-differential equations
of Sobolev type with nonlocal initial conditions.
The results are obtained by using semigroup theory and the Schauder
fixed point theorem. An example is provided to illustrate the theory.
Submitted September 6, 2012. Published January 21, 2013.
Math Subject Classifications: 34A37, 47D06, 47H10, 74H20, 34K40.
Key Words: Existence; neutral differential equation; fixed point theorem;
impulsive differential equation.
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Bheeman Radhakrishnan Department of Applied Mathematics and Computational Sciences PSG College of Technology Coimbatore - 641 004, TamilNadu, India email: radhakrishnanb1985@gmail.com |
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Aruchamy Mohanraj Department of Mathematics and Computer Sciences SVS College of Engineering Coimbatore - 642 109, TamilNadu, India email: mohanraj.mat@gmail.com |
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Velu Vinoba Department of Mathematics K. N. Govt. Arts College for Women Thanjavur, TamilNadu, India email: vinoba2012@gmail.com |
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