二阶非线性常微分方程组周期边值问题的正解  

Positive solutions of periodic BVP for systems of nonlinear second-order ordinary 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：《河北大学学报（自然科学版）》2014年第5期455-459,共5页Journal of Hebei University(Natural Science Edition)

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)

摘　　要：研究一类二阶非线性常微分方程组周期边值问题,在满足假设条件下,利用锥拉伸压缩不动点定理,得到了当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 periodic boundary value problem for systems of nonlinear second-order ordinary differential equations is investigated.By using the fixed point theorem of cone expansion and compression,the existence of at least one positive solution for the problem is established under certain assumptions,when f and g are superlinear or sublinear.

关 键 词：正解 周期边值问题 常微分方程组 

分 类 号：O175.8[理学—数学]