Bheeman Radhakrishnan, Aruchamy Mohanraj, Velu Vinoba
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
| Aruchamy Mohanraj |
Department of Mathematics and Computer Sciences
SVS College of Engineering
Coimbatore - 642 109, TamilNadu, India
| Velu Vinoba |
Department of Mathematics
K. N. Govt. Arts College for Women
Thanjavur, TamilNadu, India
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