乘积空间上的拓扑度计算与应用

Computation of topological degree and application on product spaces

运用锥不动点理论计算一类全连续场的拓扑度,对文献[1]的结果进行了推广.最后,把抽象结果应用于研究非线性Hammerstein积分方程组非平凡解的存在性.

In this paper,we compute,by using cone fixed point theory,the topological degree of a class of completely continuous fields.The results generalize the existing ones in[1].Finally,we use our abstract results to establish the existence of nontrivial solutions for the system of superlinear Hammerstein integral equations.