一类非线性二阶常微分方程无穷多点边值问题的正解  

Positive Solutions to-point Boundary Value Problems for a Class of Nonlinear Second-order Ordinary Differential Equations

作　　者：柳亚娟[1] 张伟伟[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《洛阳理工学院学报（自然科学版）》2012年第4期84-90,共7页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

摘　　要：研究非线性二阶常微分方程无穷多点边值问题u''+a(t)u'+b(t)u+h(t)f(u)=0,t∈(0,1) u'(0)=0,u(1)=∑i=1 to ∞ aiu(ξi)正解的存在性。运用锥上的不动点定理,在f超线性增长或者次线性增长的前提下证明了正解的存在性结果。This paper has explored the existence of positive solutions to -point boundary value problems for the nonlinear second-order ordinary differential equations.By using the fixed point theorem in cones, it shows the existence of positive solutions under the conditions of superlinear growth f or sublinear growth /.

关 键 词：无穷多点边值问题 正解 不动点定理 

分 类 号：O175[理学—数学]