A NEW PROOF OF THE HADAMARD MONODROMY THEOREM AND THE PERIODIC SOLUTION FOR A CLASS OF O.D.E.SYSTEMS AT RESONANCE

A NEW PROOF OF THE HADAMARD MONODROMY THEOREM AND THE PERIODIC SOLUTION FOR A CLASS OF O.D.E.SYSTEMS AT RESONANCE

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摘要 Early in 1904,Hadamard[1]showed the scale implicit function theorem of finitedimensions.Then it was generalized to infinite dimensions.In this paper a new proof of this theoremis given and the unique existence of the periodic solution for a class of ordinary differential equationsystems at resonance is obtained. Early in 1904,Hadamard[1]showed the scale implicit function theorem of finitedimensions.Then it was generalized to infinite dimensions.In this paper a new proof of this theoremis given and the unique existence of the periodic solution for a class of ordinary differential equationsystems at resonance is obtained.

作者李树杰冯德兴

机构地区 Institute of Mathematics Institute of Systems Science

出处《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1990年第1期76-82,共7页

基金 Project supported by the National Natural Science Foundation of China

关键词 HADAMARD MONODROMY THEOREM PERIODIC solution nonlinear analysis Hadamard monodromy theorem periodic solution nonlinear analysis

分类号 N94 [自然科学总论—系统科学]

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1XIE Zhendong\ XIE Shengli\ LIU Yongqing Department of Automation, South China University of Technology,Guangzhou, 510641.Existence and Stability for Periodic Solution of Cooperation Ecosystem with Diffusion[J].Systems Science and Systems Engineering,1998,8(1):46-50. 被引量：1
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3LI Hao 1 , WULAN Hasi 1, & ZHOU JiZhen 1,2 1 Department of Mathematics, Shantou University, Shantou 515063, China,2 School of Sciences, Anhui University of Science and Technology, Huainan 232001, China.Lipschitz spaces and Q_K type spaces[J].Science China Mathematics,2010,53(3):771-778. 被引量：2
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Systems Science and Mathematical Sciences

1990年第1期

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A NEW PROOF OF THE HADAMARD MONODROMY THEOREM AND THE PERIODIC SOLUTION FOR A CLASS OF O.D.E.SYSTEMS AT RESONANCE

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