
On Existence and Uniqueness of Random Impulsive Differential Equations
ZHANG Shuorui,SUN Jitao
系统科学与复杂性(英文) ›› 2016, Vol. 29 ›› Issue (2) : 300-314.
On Existence and Uniqueness of Random Impulsive Differential Equations
On Existence and Uniqueness of Random Impulsive Differential Equations
This paper studies existence and uniqueness for random impulsive differential equations. The authors first generalize a random fixed point theorem of Schaefer’s type. Then the authors shall rely on the generalized Schaefer’s type random fixed point theorem to discuss the existence of the system. In addition, the authors study the existence and uniqueness of random impulsive differential equations by applying random Banach fixed point theorem and obtain some less conservative results. Finally, an example is given to illustrate the effectiveness of the results.
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