一类双调和方程边值问题的正径向解研究  

Study on positive radial solution of boundary value problem for a class of biharmonic equation

作　　者：钟金标 方兴 王花 ZHONG Jinbiao;FANG Xing;WANG Hua(School of Mathematics and Computing Science, Anqing Normal University, Anqing 246133, China)

机构地区：[1]安庆师范大学数学与计算科学学院,安徽安庆246133

出　　处：《合肥工业大学学报（自然科学版）》2020年第3期425-428,共4页Journal of Hefei University of Technology：Natural Science

基　　金：安徽省自然科学基金资助项目(1608085MA14)。

摘　　要：文章利用不动点定理、确界原理证明了一类双调和方程边值问题正径向有界解的存在性,同时研究了唯一性;给出了一个定理应用实例。In this paper,the existence of positive radial bounded solutions for a class of biharmonic equation boundary value problems is proved by using the principle of supremum and infimum and fixed point theorem.Also,a uniqueness theorem for certain systems is obtained.As an application of the theorem,an example is given.

关 键 词：正解 不动点定理 全连续算子 双调和方程 确界原理 

分 类 号：O175.25[理学—数学]