二阶微分方程周期边值问题的多重解  

Multiple Solutions of Periodic Boundary Value Problem for Second Differential Equations

作　　者：李晓彬[1] 

机构地区：[1]太原电力高等专科学校基础部,山西太原030013

出　　处：《宜宾学院学报》2012年第12期25-27,共3页Journal of Yibin University

摘　　要：运用改进的Amann三解定理来研究一类二阶微分方程周期边值问题{x″(t)=f(t,x(t)),t∈Ix(0)=x(2π),x'(0)=x'(2π),得出了其解的多重性,并举例说明了所得结果的应用.The multiplicity of solutions of the periodic boundary value problem for the second order differential equationx″（t）=f（t,x（t））,t∈Ix（0）=x（2π）,x′（0）=x′（2π）was obtained by using the improved Amann’s three-solution theorem.An example for the application of the results was illustrated.

关 键 词：周期边值问题 三解定理 二阶方程 

分 类 号：O175.1[理学—数学]