完全非线性依赖的(n-1,1)共轭边值问题  

On(n−1,1)Conjugate Boundary Value Problems with Dependence on Fully Nonlinearity

作　　者：李智宇 白占兵 LI Zhiyu;BAI Zhanbing(College of Mathematics and System Science,Shandong University of Science and Technology,Qingdao 266590,China)

机构地区：[1]山东科技大学数学与系统科学学院,山东青岛266590

出　　处：《应用数学》2020年第3期782-788,共7页Mathematica Applicata

基　　金：Supported by NSFC(11571207);SDNSF(ZR2018MA011);the Taishan Scholar project;SDUST Graduate Innovation Project(SDKDYC190237)。

摘　　要：本文利用不动点定理和一些相关格林函数的不等式得到一个依赖于所有低阶导数的(n−1,1)共轭边值问题正解的存在性.In this paper, a fixed point theorem in a cone and some inequalities of the associated Green’s function are applied to obtain the existence of positive solutions of (n-1, 1) conjugate boundary value problems with dependence on all lower order derivatives.

关 键 词：共轭边值问题 锥上不动点定理 正解 

分 类 号：O175.8[理学—数学]