拟线性滞后型微分方程正解的存在性(英文)  

The Existence of Positive Solutions for the Quasilinear Functional Delay Differential Equations

作　　者：尹福其[1] 范桂红[1] 李永昆[1] 

机构地区：[1]云南大学数学系,云南昆明650091

出　　处：《数学研究》2002年第4期364-370,共7页Journal of Mathematical Study

基　　金：Thiswork issupported by National Natural Sciences Foundation of People's Republicof China and Natural Sciences Foundation of Yunnan Province

摘　　要：本文研究了下面这种拟线性滞后型微分方程(g(u′)′+a(t) f (ut) =0 ,　　 0 <t<1其中 g(v) =|v|p-2 v,p >1 ,满足非线性边界条件 .并且通过应用锥不动定理与阿尔采拉 -阿斯卡里定理 ,证明了上述方程至少存在一个正解 .In this paper, we study the existence of positive solutions of the quasilinear functional delay differential equation of the form(g(u′))′+a(t)f(u t)=0, 0<t<1(1)where g(v)=|v| p-2 v, p>1, subject to nonlinear boundary conditions. We show that there exists at least one positive solution by applying a fixed point theorem in cones and the Arzela Ascoli theorem.

关 键 词：拟线性滞后型微分方程 正解 存在性 不动点 阿尔采拉-阿斯卡里定理 

分 类 号：O175.1[理学—数学]