三阶非线性常微分方程组三点边值问题的正解  

Positive Solutions of Three-point Boundary Value Problem for Systems of Nonlinear Third-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：《北华大学学报（自然科学版）》2014年第2期162-166,共5页Journal of Beihua University（Natural Science）

基　　金：国家自然科学基金项目(11271106);河北省自然科学基金项目(A2012506010)

摘　　要：研究一类三阶非线性常微分方程组三点边值问题,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 three-point boundary value problem for systems of nonlinear third-order ordinary differential equations is investigated. By using the fixed point theorem of cone expansion and compression, the existence of one positive solution for the problem is established under certain assumption, when f and g are super-linear or sub-linear.

关 键 词：正解 边值问题 锥拉伸压缩不动点定理 

分 类 号：O175.8[理学—数学]