Existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions

Abstract By using new Schrödinger type inequalities appearing in Jiang and Usó (J. Inequal. Appl. 2016:233, 2016), we study the existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions.

Bibliographic Details
Main Authors:	Jianguo Sun, Liang Kou, Gang Guo, Guodong Zhao, Yong Wang
Format:	Article
Language:	English
Published:	SpringerOpen 2018-04-01
Series:	Journal of Inequalities and Applications
Subjects:	Stochastic delay differential system Schrödinger–Brownian motion Schrödingerean Lyapunov functional
Online Access:	http://link.springer.com/article/10.1186/s13660-018-1691-1

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spelling	doaj-70baf07b250946888fcdaf27a67aa6632020-11-24T22:00:02ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-04-012018111510.1186/s13660-018-1691-1Existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motionsJianguo Sun0Liang Kou1Gang Guo2Guodong Zhao3Yong Wang4Department of Computer Science and Technology, Harbin Engineering UniversityDepartment of Computer Science and Technology, Harbin Engineering UniversityDepartment of Computer Science and Technology, Harbin Engineering UniversityDepartment of Computer Science and Technology, Harbin Engineering UniversityDepartment of Computer Science and Technology, Harbin Engineering UniversityAbstract By using new Schrödinger type inequalities appearing in Jiang and Usó (J. Inequal. Appl. 2016:233, 2016), we study the existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions.http://link.springer.com/article/10.1186/s13660-018-1691-1Stochastic delay differential systemSchrödinger–Brownian motionSchrödingerean Lyapunov functional
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jianguo Sun Liang Kou Gang Guo Guodong Zhao Yong Wang
spellingShingle	Jianguo Sun Liang Kou Gang Guo Guodong Zhao Yong Wang Existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions Journal of Inequalities and Applications Stochastic delay differential system Schrödinger–Brownian motion Schrödingerean Lyapunov functional
author_facet	Jianguo Sun Liang Kou Gang Guo Guodong Zhao Yong Wang
author_sort	Jianguo Sun
title	Existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions
title_short	Existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions
title_full	Existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions
title_fullStr	Existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions
title_full_unstemmed	Existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions
title_sort	existence of weak solutions of stochastic delay differential systems with schrödinger–brownian motions
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2018-04-01
description	Abstract By using new Schrödinger type inequalities appearing in Jiang and Usó (J. Inequal. Appl. 2016:233, 2016), we study the existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions.
topic	Stochastic delay differential system Schrödinger–Brownian motion Schrödingerean Lyapunov functional
url	http://link.springer.com/article/10.1186/s13660-018-1691-1
work_keys_str_mv	AT jianguosun existenceofweaksolutionsofstochasticdelaydifferentialsystemswithschrodingerbrownianmotions AT liangkou existenceofweaksolutionsofstochasticdelaydifferentialsystemswithschrodingerbrownianmotions AT gangguo existenceofweaksolutionsofstochasticdelaydifferentialsystemswithschrodingerbrownianmotions AT guodongzhao existenceofweaksolutionsofstochasticdelaydifferentialsystemswithschrodingerbrownianmotions AT yongwang existenceofweaksolutionsofstochasticdelaydifferentialsystemswithschrodingerbrownianmotions
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Existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownian motions

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