二阶常微分方程组积分边值问题的正解  

POSITIVE SOLUTIONS FOR A SYSTEM OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

作　　者：叶盼盼[1] 杨志林[1] 

机构地区：[1]青岛理工大学理学院,青岛266033

出　　处：《系统科学与数学》2011年第8期992-999,共8页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10971179)资助课题

摘　　要：在借助于非负矩阵获得正解的先验估计的基础上,用不动点指数理论研究二阶非线性常微分方程组积分边值问题正解和多重正解的存在性.Based on a priori estimates achieved by utilizing nonnegative matrices, and by using the fixed point index theory, the existence and multiplicity of positive solutions for a system of nonlinear second-order ordinary differential equations with integral boundary conditions are satisfied.

关 键 词：积分边值问题 常微分方程组 不动点指数 正解. 

分 类 号：O175.8[理学—数学]