二阶微分方程积分边值问题正解的存在性  

Existence of Positive Solutions for Integral Boundary Value Problems of Second Order Differential Equations

作　　者：肖羽[1] 刘锡平[1] 陈建名[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《吉林大学学报（理学版）》2010年第4期533-538,共6页Journal of Jilin University:Science Edition

基　　金：上海市教委科研创新项目基金(批准号:10ZZ93)

摘　　要：研究一类具有积分边界条件的二阶非线性常微分方程非局部边值问题多个正解的存在性.利用双锥上不动点定理,在允许非线性项变号的情况下,得到了边值问题至少存在两个正解的充分条件.We studied the existence of multiple positive solutions for the nonlocal boundary value problems of a type of nonlinear second order differential equations with integral boundary conditions.By means of fixedpoint theorem in double cones,the existence of,at least,two positive solutions to the boundary value problem is obtained under the condition of non-linear term to be allowed to change sign.

关 键 词：积分边值问题 双锥上不动点定理 正解 存在性 

分 类 号：O175.8[理学—数学]