Premium
A note on the existence of stochastic integro‐differential equations with memory
Author(s) -
Huan Diem Dang,
Gao Hongjun
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3207
Subject(s) - resolvent , mathematics , class (philosophy) , differential equation , point (geometry) , type (biology) , differential (mechanical device) , citation , stochastic differential equation , algebra over a field , discrete mathematics , calculus (dental) , pure mathematics , computer science , mathematical analysis , artificial intelligence , ecology , geometry , aerospace engineering , medicine , dentistry , engineering , biology , world wide web
In this study, we investigate the existence of mild solutions for a class of impulsive neutral stochastic integro‐differential equations with infinite delays, using the Krasnoselskii–Schaefer type fixed point theorem combined with theories of resolvent operators. As an application, an example is provided to illustrate the obtained result. Copyright © 2014 John Wiley & Sons, Ltd.