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MULTIPLE POSITIVE SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS FOR SUPERLINEAR SECOND ORDER ODES
引用本文:蒋达清. MULTIPLE POSITIVE SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS FOR SUPERLINEAR SECOND ORDER ODES[J]. 数学物理学报(B辑英文版), 2002, 22(2): 199-206. DOI: 10.1016/S0252-9602(17)30472-1
作者姓名:蒋达清
作者单位:Jiang Daqing Department of Mathematics,Northeast Normal University,Changchun 130024,China
基金项目:The work was supported by NNSF of China.
摘    要:11皿roduction and Main ResultsBoundary vlue probl。s(abbr.as BVP)associated with smgtllar second order ditherelltiale叩atiolls h出柏a IOllg hEtofy nd m聊dlfferem methods nd techniques h出用been sed皿ddev咖pod m OTder to obtmn——Oils qualltatn旧properties of the solutions.nr detmls,see/forInstance,papers [l-6] and the references therein.Ho。。r,only few。rks on singul。boundmpMu。Problems for suPe山near ODEs【of}6].As》as。thorh。s,the worh on the。stenceof mlmltiple posit讨esoluti…

收稿时间:2000-01-31

MULTIPLE POSITIVE SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS FOR SUPERLINEAR SECOND ORDER ODES
Jiang Daqing. MULTIPLE POSITIVE SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS FOR SUPERLINEAR SECOND ORDER ODES[J]. Acta Mathematica Scientia, 2002, 22(2): 199-206. DOI: 10.1016/S0252-9602(17)30472-1
Authors:Jiang Daqing
Affiliation:Jiang Daqing Department of Mathematics,Northeast Normal University,Changchun 130024,China
Abstract:This paper deals with the existence of positive solutions to the singular bound-ary value problem"(t)+q(t)f(t,y)=0, 0<t<1,y(0) = y(1) = 0,where q(t) may be singular at t = 0 and t = 1, f(t,y) may be superlinear at y = ∞ andsingular at y = 0.
Keywords:Singular boundary value problem   existence   superlinear   the fixed point theorem
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