摘要
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.
出处
《青岛理工大学学报》
CAS
2016年第2期121-127,共7页
Journal of Qingdao University of Technology
关键词
拓扑度
锥
不动点
积分方程组
非平凡解
topological degree
cone
fixed point
system of integral equations
nontrivial solution