一类广义RLW方程的初值问题  

The Initial Value problem for a Class of Generalized RLW Equation

作　　者：孟红丽[1] 张能伟[2] 

机构地区：[1]安阳工学院理学部,河南安阳455000 [2]安阳师范学院数学与统计学院,河南安阳455002

出　　处：《安阳师范学院学报》2009年第5期55-57,共3页Journal of Anyang Normal University

摘　　要：考虑一类广义RLW方程u1-uxxt+p(u)x=f(ux)x+g(u)+γuxx在f、g、p及初值u0满足一定条件下,用压缩映射原理得到了上述问题局部广义解的存在唯一性.In this paper we consider the initial value problem for the generalized RLW equation u1-uxxt＋p（u）x=f（uz）z＋g（u）＋γuzz. Supposing that f, g, p and initial value u0 meet some conditions, we obtain the existence and uniqueness of the local general solution to the Initial Value problem by contraction mapping principle.

关 键 词：RLW方程 压缩映射原理 局部广义解 

分 类 号：O175.29[理学—数学]