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MULTIPLICITY OF SOLUTIONS TO ASYMPTOTICALLY LINEAR SECOND-ORDER ORDINARY DIFFERENTIAL SYSTEM
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作者 Yucheng Bu(Dept. of Teachers’ Training,Zhenjiang College,Danyang 212300,Jiangsu) 《Annals of Differential Equations》 2011年第3期283-292,共10页
In this paper,we consider an asymptotically linear second-order ordinary differential system with Dirchlet boundary value conditions. Under some conditions,we show the multiplicity of solutions to the system by the Mo... In this paper,we consider an asymptotically linear second-order ordinary differential system with Dirchlet boundary value conditions. Under some conditions,we show the multiplicity of solutions to the system by the Morse theory and an index theory. 展开更多
关键词 second-order ordinary differential systems index theory of linear systems Morse theory multiplicity of solutions
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渐近线性二阶常微分方程组解的存在性和多重性
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作者 卜玉成 束永祥 +1 位作者 卢蕊 凌蕾花 《镇江高专学报》 2010年第3期62-65,共4页
研究一类渐近线性二阶常微分方程组解的情况。通过建立对应线性二阶常微分方程组的指标理论,得到渐近线性二阶常微分方程组解的存在性与多重性判定方法和实例。
关键词 二阶常微分方程组 线性系统的指标理论 解的存在性 解的多重性
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