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脉冲时滞抛物型方程组解的存在唯一性(英文)
Existence and Uniqueness of the Solution for Parabolic Systems with Impulse and Delay
【摘要】 在本文中,我们定义了一类脉冲时滞抛物型方程组的上解与下解,并利用上下解方法研究了此脉冲时滞抛物型方程组解的存在唯一性,得到一些新的结论。给出了在生态学中一个应用.
【Abstract】 In this paper,for a parabolic system with impulses and delay,we define its upper and lower solutions.By using the method of upper and lower solutions,the existence and uniqueness of solutions are investigated.And some new results are obtained.An application is given to a model in ecology.
【关键词】 脉冲时滞抛物型方程组;
上下解;
存在;
唯一;
【Key words】 Parabolic systems with impulse and delay; Upper and lower solutions; Existence; Uniqueness;
【Key words】 Parabolic systems with impulse and delay; Upper and lower solutions; Existence; Uniqueness;
【基金】 Supported by NSF of China(11161011);Foundation of the Technology Institution of Guizhou Province(LKS[2011]14)
- 【文献出处】 生物数学学报 ,Journal of Biomathematics , 编辑部邮箱 ,2016年02期
- 【分类号】O175.26
- 【被引频次】2
- 【下载频次】61