二阶非线性常微分方程组边值问题的正解  

Positive Solution of BVP for Systems of Nonlinear Second-Order Differential Equations

作　　者：刘健[1] 封汉颍[1] 

机构地区：[1]军械工程学院基础部,河北石家庄050003

出　　处：《军械工程学院学报》2014年第3期75-78,共4页Journal of Ordnance Engineering College

基　　金：国家自然科学基金资助项目(11271106);河北省自然科学基金资助项目(A2012506010);河北省青年科学基金资助项目(A2014506016)

摘　　要：研究一类二阶常微分方程组两点边值问题,利用Krasnoselskii’s不动点定理,得到当f和g满足超线性或次线性时边值问题一个正解存在的充分条件.A boundary value problem is studied for systems of nonlinear second-order ordinary differential equations. By using Krasnoselskii＇s fixed point theorem,the sufficient condition is established that at least one positive solution to the problem exists when f and g are superlinear or sublinear.

关 键 词：常微分方程组 边值问题 Krasnosel'skii不动点定理 

分 类 号：O175.8[理学—数学]