Existence of Solutions for Nonlinear Mixed Type Integrodifferential Functional Evolution Equations with Nonlocal Conditions | Zendy

Shengli Xie | Zendy

Open Access

Existence of Solutions for Nonlinear Mixed Type Integrodifferential Functional Evolution Equations with Nonlocal Conditions

Author(s) -

Shengli Xie

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/913809

Subject(s) - controllability , mathematics , nonlinear system , fixed point theorem , banach space , type (biology) , a priori and a posteriori , measure (data warehouse) , mathematical analysis , point (geometry) , computer science , philosophy , epistemology , geometry , ecology , physics , quantum mechanics , database , biology

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

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