Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation
نویسندگان
چکیده
منابع مشابه
Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation
and Applied Analysis 3 Definition 2.1. The functions f and g are said to be L2-Carathéodory if 1 f t, x and g t, x are measurable in t and continuous in the second variable a.e. t ∈ J , 2 for each positive constant q, there exists a square integrable function hq : J → R such that ∥ ∥f t, u ∥ ∥ ∨ ∥g t, u ∥ ≤ hq t , ‖u‖ ≤ q, a.e. t ∈ J. 2.2 Motivated by 1, 7 , let us start by defining what we mea...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2011
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2011/439724