具两参数的一类Kirchhof型问题正解的存在性(英文)  

Existence of a positive solution for a Kirchhof type problem with two parameters

作　　者：张全国[1,2] 孙红蕊[1] 

机构地区：[1]兰州大学数学与统计学院,兰州730000 [2]洛阳师范学院数学科学学院,河南洛阳471022

出　　处：《兰州大学学报（自然科学版）》2013年第6期869-872,共4页Journal of Lanzhou University(Natural Sciences)

基　　金：Supported by the National Natural Science Foundation of China(10801065);New Century Excellent Talents in University(NECT-12-0246);Fundamental Research Funds for the Central Universities(LZUJBKY-2013-K02)

摘　　要：研究了一类具双参数的Kirchhof型方程正解的存在性.运用变分法和迭代技术,建立了当参数适当小时,此问题正解的存在性准则.The paper was concerned with the existence of a positive solution for a Kirchhoff type problem with two parameters. Using the variational methods and iterative technique, an existence criteria of a positive solution to the problem was obtained when the parameters were small.

关 键 词：Kirchhoff型问题 变分法 迭代技术 正解 

分 类 号：O175.25[理学—数学]