标题:
一类非线性变系数波方程解的存在性The Existence of a Class of Nonlinear Wave Equations with Variable Coefficients
作者:
汪鹏
关键字:
波方程, 依赖于x的系数, 共振, 周期解Wave Equations; x-Dependent Coefficients; Resonance; Periodic Solution
期刊名称:
《Pure Mathematics》, Vol.3 No.5, 2013-09-26
摘要:
本文研究了系数依赖于x的一维波方程当共振发生在特征值rN处的解的存在性,主要利用Mawhin连续性定理,进而得到了一个类似于文学性的结果。>This paper is devoted to the existence results for the one dimensional wave equation with x-de- pendent coefficients when resonance occurs at the eigenvalue rN . By using the Mawhin’s continuation theo- rem, the authors get a result which is similar to the literature.