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Neutral Impulsive Stochastic Integro-Differential Equations with Infinite Delay and Lévy Processes

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2013年04期
Page:
14-
Research Field:
数学
Publishing date:

Info

Title:
Neutral Impulsive Stochastic Integro-Differential Equations with Infinite Delay and Lévy Processes
Author(s):
Diem Dang Huan1; 2
(1.School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China) (2.Faculty of Basic Sciences,Bacgiang Agriculture and Forestry University,Bacgiang,Vietnam)
Keywords:
resolvent operator; neutral stochastic integro-differential equation; phase space; impulses; mild solution
PACS:
O211.63
DOI:
-
Abstract:
This paper study a class of neutral impulsive stochastic integro-differential equations with infinite delay and Lévy processes(NISIEIL).We establish the existence and uniqueness of mild solutions for NISIEIL under a class of generalized Lipschitz conditions to the Hilbert space by means of the successive approximation.Furthermore,we give the continuous dependence of solutions on the initial data.Some well-known results are generalized and improved.

References:

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Last Update: 2013-12-30