Open AccessOn solutions of semilinear evolution integrodifferential equations with nonlocal conditions
Author(s) -
Yan Zhang
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