一类带时滞的退化半线性抛物方程组解的存在性研究  

Existence of the Solution for A Kind of Degenerated Semilinear Parabolic System with Time Delay

作　　者：陆求赐[1] 江秋香[2] 

机构地区：[1]武夷学院人文与教师教育学院,福建武夷山354300 [2]闽江学院数学系,福建福州350121

出　　处：《长江大学学报（自科版）（上旬）》2014年第10期9-12,3,共4页JOURNAL OF YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION) SCI ＆ ENG

基　　金：福建省自然科学基金资助项目(Z0511015);武夷学院校科研基金资助项目(XL1204)

摘　　要：考虑了一类带时滞的退化半线性抛物型方程组解的存在性问题。在一定的假设条件下,利用上下解与正则化方法证明了方程组的解是局部存在的,在一定条件下解甚至会在有限时刻产生猝灭的现象;同时也证明了初值函数满足一定条件时解是全局存在的。This paper deals with the existence of solutions for a kind of degenerated semilinear system with time delay.The upper and lower solutions and the regularization methods are used to prove that the solution of system is local under certain assumptions,and the solution even produces quenching phenomenon in a finite time.And it is also proves that the solution of the system exists globally when the initial value function satisfies with some conditions.

关 键 词：退化半线性抛物方程组 时滞 初值函数 存在性 熄灭 

分 类 号：O175.26[理学—数学]