| 一类三阶伪抛物型方程初边值问题解的存在定理 |
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| 引用本文： | 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(中文版),2016,37(2):227-232. |
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| 作者姓名： | 冯艳青 王忠英 |
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| 作者单位： | 常州工学院数学系, 江苏，常州 213002. E-mail: fengyq@czu.cn;,常州工学院数学系, 江苏，常州 213002. E-mail:wangzy@czu.cn |
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| 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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| 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.
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| 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 |
| 收稿时间： | 2013/12/7 0:00:00 |
| 修稿时间： | 2015/6/23 0:00:00 |
An Existence Theorem for the Initial-Boundary Value Problem of a Third Order Pseudoparabolic Equation |
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| FENG Yanqing and WANG Zhongying.An Existence Theorem for the Initial-Boundary Value Problem of a Third Order Pseudoparabolic Equation[J].Chinese Annals of Mathematics,2016,37(2):227-232. |
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| Authors: | FENG Yanqing and WANG Zhongying |
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| Institution: | Department of Mathematics, Changzhou Institute of Technology,
Changzhou 213002, Jiangsu, China. E-mail: fengyq@czu.cn; and Department of Mathematics, Changzhou Institute of Technology,
Changzhou 213002, Jiangsu, China. E-mail:wangzy@czu.cn |
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| Abstract: | 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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| Keywords: | Third order pseudoparabolic initial-boundary value
problem Path-lifting problem The basin of attraction Existence
theorems |
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