摘要
用最大值原理和Banach压缩映像原理研究一类广义Sine-Gordon方程的概周期解问题,证明概周期解的存在‖u‖L∞<π2中的唯一性。
In this paper, we study the generalized Sine-Gordon equation. The existence of An almost periodic solution is proved and its uniqueness in ||u||L^∞〈π/2 is obtained. The crucial tools in the proofs are the maximum principle and the Banach contraction mapping principle.
出处
《中国海洋大学学报(自然科学版)》
CAS
CSCD
北大核心
2006年第6期892-894,共3页
Periodical of Ocean University of China
基金
国家自然科学基金项目(10371010)资助