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拓扑度计算与应用
引用本文:杨志林.拓扑度计算与应用[J].数学学报,2005,48(2):275-280.
作者姓名:杨志林
作者单位:青岛理工大学数理系 青岛266033
摘    要:本文运用锥理论计算一类全连续场的拓扑度,极大地减弱了非线性算子下方 有界的条件, 因而本质上改进和推广了现有结果. 最后,把抽象结果应用于研究超线 性Hammerstein积分方程非平凡解的存在性.

关 键 词:拓扑度    不动点

Computation of Topological Degree and Applications
Zhi Lin YANG.Computation of Topological Degree and Applications[J].Acta Mathematica Sinica,2005,48(2):275-280.
Authors:Zhi Lin YANG
Institution:Zhi Lin YANG Department of Mathematics, Qingdao Technological University, Qingdao 266033, P. R. China
Abstract:In this paper, we compute, by using cone theory, the topological degree of a class of completely continuous fields where the condition on the lower boundedness of nonlinear operators is sharply weakened. Therefore our results substantially improve and generalize the existing ones in the literature. Finally we use our abstract results to establish the existence of nontrivial solutions for superlinear Hammerstein integral equations.
Keywords:Topological degree  Cone  Fixed point
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