Existence of solutions for nonlinear mixed type integrodifferential functional evolution equations with nonlocal conditions. (English) Zbl 1253.45009

Xie, Shengli

Abstr. Appl. Anal. 2012, Article ID 913809, 11 p. (2012).

Summary: Using Mönch fixed point theorem, this paper proves the existence and controllability of mild solutions for nonlinear mixed type integrodifferential functional evolution equations with nonlocal conditions in Banach spaces, some restricted conditions on a priori estimation and measure of noncompactness estimation have been deleted, our results extend and improve many known results. As an application, we have given a controllability result of the system.

MSC:

45J05	Integro-ordinary differential equations
47H10	Fixed-point theorems

Keywords:

Mönch fixed point theorem; existence; controllability; nonlinear mixed type integrodifferential functional evolution equations

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