三阶奇异周期边值问题的正解  

Positive Solutions of Singular Periodic Boundary Value Problem for Third Order Differential Equation

作　　者：刘英[1] 路慧芹[1] 张丹丹[1] 

机构地区：[1]山东师范大学数学科学学院,济南250014

出　　处：《科学技术与工程》2009年第15期4418-4419,4423,共3页Science Technology and Engineering

基　　金：国家自然科学基金项目(10471075)资助

摘　　要：用锥拉伸与锥压缩不动点定理讨论三阶微分方程周期边值问题{u′″+ρ3u=f(t,u),0<t<2π;u(i)(0)=u(i)(2π),i=0,1,2。正解的存在性,其中ρ∈(0,1/(3～(1/2))为常数,f在t=0,t=2π和u=0处有奇异性。By means of fixed point theorem of cone expansion and compression of norm type,Positive Solutions of the following periodic boundary value problem of third order differential equation u″′＋Р^3u=f（t,u）,0〈t〈2π, with u（i） （0） =u（i）（2π） ,i = 0, 1,2 is deals with. Where p e （0, √3） is a constant, andfis singular at t = 0,t =2π and u =0.

关 键 词：三阶微分方程 奇异边值问题 正解 

分 类 号：O175.8[理学—数学]