非线性项含一阶导数广义Sturm-Liouville边值问题的多个正解

数学季刊 ›› 2007, Vol. 22 ›› Issue (1): 114-125.

非线性项含一阶导数广义Sturm-Liouville边值问题的多个正解

1.Department of Mathematics,Anhui Institute of Education,Hefei 236032,China; 2.College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China

收稿日期:2006-10-10 出版日期:2007-03-30 发布日期:2023-11-15
作者简介:SHEN Chun-fang(1982-),female,native of Nanyang,Henan,M.S.D.,engages in boundary value problem of differential equation;YANG Liu(1981-),male,native of Heifei,Anhui,M.S.D.,engages in boundary value problem of differential equation.
基金资助:
Supported by the University Foundation of Natural Science of Anhui Province(KJ2007B055)；

Multiplicity Results for Second-order Generalized Sturm-Liouville Boundary Value Problems with Dependence on the First Order Derivative

1.Department of Mathematics,Anhui Institute of Education,Hefei 236032,China; 2.College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China

Received:2006-10-10 Online:2007-03-30 Published:2023-11-15
About author:SHEN Chun-fang(1982-),female,native of Nanyang,Henan,M.S.D.,engages in boundary value problem of differential equation;YANG Liu(1981-),male,native of Heifei,Anhui,M.S.D.,engages in boundary value problem of differential equation.
Supported by:
Supported by the University Foundation of Natural Science of Anhui Province(KJ2007B055)；

摘要/Abstract

摘要： By using fixed point theorems,we consider multiplicity of positive solutions for second-order generalized Sturm-Liouville boundary value problem,where the first order derivative is involved in the nonlinear term explicitly.We show the existence of multiple positive solutions for the problems.Example is given to illustrate the main results of the article.

关键词: generalized Sturm-Liouville boundary value problem;positive solution;cone, fixed point

Abstract: By using fixed point theorems,we consider multiplicity of positive solutions for second-order generalized Sturm-Liouville boundary value problem,where the first order derivative is involved in the nonlinear term explicitly.We show the existence of multiple positive solutions for the problems.Example is given to illustrate the main results of the article.

Key words: generalized Sturm-Liouville boundary value problem;positive solution;cone, fixed point

中图分类号:

O175.8

沈春芳, 杨柳, 刘锡平. 非线性项含一阶导数广义Sturm-Liouville边值问题的多个正解[J]. 数学季刊, 2007, 22(1): 114-125.

SHEN Chun-fang, YANG Liu, LIU Xi-ping. Multiplicity Results for Second-order Generalized Sturm-Liouville Boundary Value Problems with Dependence on the First Order Derivative[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(1): 114-125.

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