波动方程周期Dirichlet问题在强共振条件下的可解性  

THE SOLVABILITY FOR A WAVE EQUATION WITH PERIODIC CONDITION UNDER STRONG RESONANCE

作　　者：侯茂文[1] 

机构地区：[1]铜陵学院,安徽铜陵244000

出　　处：《巢湖学院学报》2007年第3期11-15,35,共6页Journal of Chaohu University

摘　　要：本文研究波动方程边值问题当非线性项满足强共振条件或为周期函数时的可解性和非平凡解的存在性。所使用的方法是变分方法和集连通技巧。The solvability and the existence of solution for a wave equation with periodic condition under strong resonance are studied in the paper. The results are obtained via variation methods and set connection skill.

关 键 词：波动方程 可解性 共振 

分 类 号：O175[理学—数学]