On nulls of perturbed Fredholm operators and degenerate homoclinic bifurcations

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：zhouxiangguchan

【摘要】

：

It is known that small perturbations of a Fredholm operator L have nulls of dimension not larger than dirnN(L). In this paper for any given positive integer κ

【作者】

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Weinian Zhang (1)

【机构】

：

1.DepartmentofMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

2004年4期

【关键词】

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FREDHOLM operator perturbation dimension decomposition DEGENERATE HOMOCLINIC

【基金项目】

：

This work was supported by the National Natural Science Foundation of China (Grant No. 10171071) and China MOE Research Grants TRAPOYT.

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It is known that small perturbations of a Fredholm operator L have nulls of dimension not larger than dirnN(L). In this paper for any given positive integer κ≤ dimN(L)we prove that there is a perturbation of L which has an exactlyκ-dimensional null. Actua

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