一类三阶微分系统三点边值问题的正解  

Positive solutions for a third-order ordinary differential system of three-point boundary value problem

作　　者：王彩勋[1] 

机构地区：[1]青海大学基础部,青海西宁810016

出　　处：《青海大学学报（自然科学版）》2016年第2期67-71,共5页Journal of Qinghai University(Natural Science)

基　　金：青海大学中青年科研基金项目(2014-QGY-28);青海大学123高层次人才培养工程

摘　　要：利用乘积锥上的不动点指数定理,研究了一类三阶微分系统三点边值问题正解的存在性,其中一个方程的非线性项是超线性的;另一个方程的非线性项是次线性的。并举例加以说明。By using the fixed point index theory on product cone, the existence of positive solutions for a third - order ordinary differential system of three - point boundary value problem was proofed. The nonlinear term of an equation is superlinear but is sublinear in another equation. An example is also given to illustrate the main result.

关 键 词：三阶 乘积锥 不动点指数 正解 

分 类 号：O175.14[理学—数学]