摘要
借助路径提升问题,利用Banach空间吸引盆理论,研究了一类三阶伪抛物型方程初边值问题解的存在唯一性问题,给出其解存在唯一的充分条件,同时证明了一些已有的结论是本文主要定理的推论.
In this paper,a new set of sufficient conditions related to the path-lifting problem and the basin of attraction method is given in discussing the initial-boundary value problem of a third order pseudoparabolic equation.Some known results on the existence of solutions of the above equation are generalized.
出处
《数学年刊（A辑）》
CSCD
北大核心
2016年第2期227-232,共6页
Chinese Annals of Mathematics
基金
江苏省教育厅项目(No.13KJD110001)
常州工学院自然科学基金(No.YN0909)的资助
关键词
三阶伪抛物型方程初边值问题
路径提升问题
吸引盆
存在理论
Third order pseudoparabolic initial-boundary value problem
Path-lifting problem
The basin of attraction
Existence theorems
