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.

PDF(494 KB)
PDF(494 KB)
系统科学与复杂性(英文) ›› 2016, Vol. 29 ›› Issue (2) : 300-314. DOI: 10.1007/s11424-015-4018-z

On Existence and Uniqueness of Random Impulsive Differential Equations

    ZHANG Shuorui , SUN Jitao
作者信息 +

On Existence and Uniqueness of Random Impulsive Differential Equations

    ZHANG Shuorui , SUN Jitao
Author information +
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Abstract

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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ZHANG Shuorui,SUN Jitao. On Existence and Uniqueness of Random Impulsive Differential Equations. 系统科学与复杂性(英文), 2016, 29(2): 300-314 https://doi.org/10.1007/s11424-015-4018-z
ZHANG Shuorui , SUN Jitao. On Existence and Uniqueness of Random Impulsive Differential Equations. Journal of Systems Science and Complexity, 2016, 29(2): 300-314 https://doi.org/10.1007/s11424-015-4018-z
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