Computation for Topological Degree and Its Applications
Computation for Topological Degree and Its Applications
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DOI：
10.1006/jmaa.1996.0347
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发表时间：
1996-09
影响因子：
1.3
通讯作者：
Sun Jingxian;Li Xiaoying
中科院分区：
文献类型：
--
作者：
Sun Jingxian;Li Xiaoying
设为Banach空间X上的一个有界开集，a -ª- X为一个凝聚算子，其中表示X上的闭包。本文首先利用锥理论给出了一个求解Ž的新方法。拓扑度I y A， s 0的计算，其中表示x的零元素。本注与-Ž w x.已知参考文献参见1,35,8的不同之处在于，我们不需要假设A是一个锥映射，甚至不要求x中存在偏序。然后，作为应用，我们研究了一类由x s kx， yfx, y， y dy给出的超线性积分方程组Ž。Ž。Ž。Ž。Ž。H 1
Let be a bounded open set in a Banach space X and A: ª X be a condensing operator, where denotes the closure of in X. In this paper, we first employ the theory of cones to give a new method of Ž. computation for topological degree deg I y A,, s 0, where denotes the zero element of X. The difference between this note and the well-Ž w x. known references cf. 1, 35, 8 is that we needn’t assume A to be a cone mapping, and not even require that there is partial order in X. Then, as applications we study a class of superlinear system of integral equations given by x s kx, yfx, y, y dy Ž. Ž. Ž. Ž. Ž. H 1