%0 Journal Article
%T The Initial-Boundary Problem for a Class of the Third Order Non-Linear Pseudoparabolic Equations<br>一类三阶非线性伪抛物方程的初边值问题
%A WU Jiancheng
%A HUANG Qinglong
%A <br>吴建成
%J 系统科学与数学
%D 2008
%I 
%X Non-linear pseudoparabolic equation is currently of much interest because it arises in a variety of important physical processes. In this article, by using homeomorphism method, the above problem is investigated. An existence theorem of solutions for the problem is given. Also, an existence and uniqueness theorem of the semilinear equations is proved.
%K Non-linear pseudoparabolic equation
%K homeomorphism method
%K existenceand uniqueness theorem<br>非线性伪抛物型方程
%K 同胚
%K 存在唯一性
%K 三阶非线性
%K 伪抛物方程
%K 初边值问题
%K EQUATIONS
%K ORDER
%K CLASS
%K 唯一性定理
%K 存在性
%K 半线性方程
%K 存在定理
%K 范围
%K 题解
%K 反函数定理
%K 理论
%K 同胚
%K 利用
%K 不等式
%K 空间
%K Hilbert
%K 热点
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=5331BCC8A520B1C23D87D64F2A47972D&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=94C357A881DFC066&sid=20C9FB8C7B4A22AD&eid=DB7B2C790D19BE6E&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=10