Mild solutions of non-Lipschitz stochastic integrodifferential evolution equations

被引：6

作者：

Diop, Mamadou Abdoul ^{[1
]}

Caraballo, Tomas ^{[2
]}

Mane, Aziz ^{[1
]}

机构：

[1] Univ Gaston Berger St Louis, UFR SAT, Dept Math, BP234, St Louis, Senegal

[2] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Apdo Correos 1160, E-41080 Seville, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 15期

关键词：

resolvent operators; C-0-semigroup; local non-Lipschitz condition; stochastic partial integrodifferential evolution equations; mild solutions; SUCCESSIVE-APPROXIMATIONS; RESOLVENT OPERATORS; INTEGRAL-EQUATIONS; EXISTENCE;

D O I：

10.1002/mma.3879

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the existence and uniqueness of mild solutions for stochastic partial integrodifferential equations under local non-Lipschitz conditions on the coefficients. Our analysis makes use of the theory of resolvent operators as developed by R. Grimmer as well as a stopping time technique. Our results complement and improve several earlier related works. An example is provided to illustrate the theoretical results. Copyright (C) 2016 John Wiley & Sons, Ltd.

引用

页码：4527 / 4534

页数：8

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