Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 84, pp. 1-9.

Title: Existence of mild solutions for quasilinear integrodifferential
       equations with impulsive conditions

Authors: Krishnan Balachandran (Bharathiar Univ., Coimbatore, India)
         Francis Paul Samuel   (Bharathiar Univ., Coimbatore, India)

Abstract:
 We prove the existence and uniqueness of mild solutions of
 quasilinear integrodifferential equations with nonlocal
 and impulsive conditions in Banach spaces. The results are obtained
 by using a fixed point technique and semigroup theory.
 Examples are provided to illustrate the theory.
 
Submitted February 24, 2009. Published July 10, 2009.
Math Subject Classifications: 34A37, 34G60, 34G20, 47H10.
Key Words: Semigroup; mild solution; impulsive conditions.