We study the existence of mild solutions for quasilinear impulsive integrodifferential equation in Banach spaces. The results are established by using Hausdorff's measure of noncompactness and fixed point theorem. Application is provided to illustrate the theory.
In this paper, we study the existence of mild solutions for a impulsive semilinear neutral functional integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using the Hausdorff measure of noncompactness. Examples are provided to illustrate the theory.
We prove the existence and uniqueness of classical solutions for a quasilinear delay integrodifferential equation in Banach spaces. The result is established by using the semigroup theory and the Banach fixed point theorem.
This paper investigates a class of impulsive partial neutral functional integrodifferential evolution inclusions with infinite delay in Banach spaces. The existence of mild solutions of these inclusions is determined under the mixed Lipschitz and Caratheodory conditions by using another nonlinear alternative of Leray-Schauder type for multivalued maps due to D. O'Regan. At the end, one example is presented.
The paper deals with the study of existence of solutions for quasilinear neutral mixed Volterra-Fredholm-type integrodifferential equations with nonlocal and impulsive conditions in Banach spaces. The results are obtained by using a fixed point technique and semigroup theory
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