| 冯艳青,王忠英.一类三阶伪抛物型方程初边值问题解的存在定理[J].数学年刊A辑,2016,37(2):227~232 |
| 一类三阶伪抛物型方程初边值问题解的存在定理 |
| An Existence Theorem for the Initial-Boundary Value Problem of a Third Order Pseudoparabolic Equation |
| Received:December 07, 2013 Revised:June 23, 2015 |
| DOI： |
| 中文关键词: 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 |
| 英文关键词:Third order pseudoparabolic initial-boundary value
problem, Path-lifting problem, The basin of attraction, Existence
theorems |
| 基金项目:本文受到江苏省教育厅项目(No.13KJD110001)和常州工学院自然科学基金(No.YN0909)的资助. |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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. |
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