Geodesic
Existence of solutions for nonlinear impulsive neutral integro-differential equations of Sobolev type with nonlocal conditions in Banach spaces
Electronic journal of differential equations, Tome 2013 (2013)
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.
Classification : 34A37, 47D06, 47H10, 74H20, 34K40
Keywords: existence, neutral differential equation, fixed point theorem, impulsive differential equation 
@article{EJDE_2013__2013__a13,
     author = {Radhakrishnan,  Bheeman and Mohanraj,  Aruchamy and Vinoba,  Velu},
     title = {Existence of solutions for nonlinear impulsive neutral integro-differential equations of {Sobolev} type with nonlocal conditions in {Banach} spaces},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1290.34076},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a13/}
}
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%J Electronic journal of differential equations
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Radhakrishnan,  Bheeman; Mohanraj,  Aruchamy; Vinoba,  Velu. Existence of solutions for nonlinear impulsive neutral integro-differential equations of Sobolev type with nonlocal conditions in Banach spaces. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a13/