Existence of the classical solution and almost periodic solution for the Camassa-Holm type equations  

作　　者：YANGLing＇e GUOBoling 

机构地区：[1]DepartmentofMathematics,FoshanUniversity,Foshan528000,China [2]InstituteofAppliedPhysicsandComputationalMathematics,Beijing100088,China

出　　处：《Progress in Natural Science:Materials International》2004年第4期303-308,共6页自然科学进展·国际材料（英文版）

摘　　要：Using Banach fixed point theorem and a priori estimate, the existence of periodic and almost periodic solutions of Ca-massa-Holm type equation with a nonlinear boundary condition are respectively proved when g (x, t) is periodic or almost periodic function of time t.Using Banaeh fixed point theorem and a priori estimate, the existence of periodic and almost periodic solutions of Camassa-Holm type equation with a nonlinear boundary condition are respectively proved when g( x, t ) is periodic or almost periodic function of time t.

关 键 词：Camassa-Holm equation almost periodic solution existence. 

分 类 号：O175.2[理学—数学]