摘要
提出Menger PN空间中非线性算子方程一般解的存在性研究.在Menger PN空间中定义三种不同的非线性算子方程,利用Leray-Schauder度性质研究非线性算子方程一般解的存在性问题,最后证明特定条件下方程解存在.
The existence of general solutions for nonlinear operator equations in Menger PN space is proposed.Three kinds of nonlinear operator equations are defined in Menger PN space.The properties of Leray-Schauder are used to study the existence of general solutions for nonlinear operator equations.The existence of solutions of the equations is proved under certain final conditions.
作者
陈方杰
CHEN Fangjie(Department of Commerce and Electronic Information,Tongcheng Teachers College,Tongcheng Anhui 231400)
出处
《宁夏师范学院学报》
2022年第1期10-16,共7页
Journal of Ningxia Normal University
基金
2020年度高等学校省级质量工程教学研究一般项目(2020jyxm2001).