On solutions of semilinear evolution integrodifferential equations with nonlocal conditions | Zendy

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On solutions of semilinear evolution integrodifferential equations with nonlocal conditions

Author(s) -

Zuomao Yan

Publication year - 2009

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.40.2009.505

Subject(s) - mathematics , banach space , fixed point theorem , contraction principle , class (philosophy) , evolution equation , mathematical analysis , contraction (grammar) , space (punctuation) , pure mathematics , fixed point , computer science , medicine , artificial intelligence , operating system

In this paper, by using the theory of evolution families, Banach's contraction principle and Schauder's fixed point theorem, we prove the existence of mild solutions of a class of semilinear evolution integrodifferential equations with nonlocal conditions in Banach space. An example is provided to illustrate the obtained results

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