| 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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| 作者姓名： | 李树杰 冯德兴 |
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| 作者单位： | Institute of Mathematics Academia Sinica，Beijing，China，Institute of Systems Science，Academia Sinica，Beijing，China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China |
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| 摘 要： | Early in 1904,Hadamard1]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.
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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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| Li Shujie.A NEW PROOF OF THE HADAMARD MONODROMY THEOREM AND THE PERIODIC SOLUTION FOR A CLASS OF O.D.E.SYSTEMS AT RESONANCE[J].Journal of Systems Science and Complexity,1990(1). |
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| Authors: | Li Shujie |
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| Abstract: | Early in 1904,Hadamard1]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. |
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| Keywords: | Hadamard monodromy theorem periodic solution nonlinear analysis |
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