The Initial-Boundary Problem for a Class of the Third Order Non-Linear Pseudoparabolic Equations
一类三阶非线性伪抛物方程的初边值问题

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.