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MULTIPLICITY OF SOLUTIONS TO ASYMPTOTICALLY LINEAR SECOND-ORDER ORDINARY DIFFERENTIAL SYSTEM |
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| Authors: | Yucheng Bu |
| Institution: | Yucheng Bu(Dept. of Teachers’ Training,Zhenjiang College,Danyang 212300,Jiangsu) |
| Abstract: | 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. |
| Keywords: | second-order ordinary differential systems index theory of linear systems Morse theory multiplicity of solutions |
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