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SOLVABILITY OF M-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
引用本文:张福保. SOLVABILITY OF M-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS[J]. 数学物理学报(B辑英文版), 1998, 0(2)
作者姓名:张福保
作者单位:Dept. of Math.,Xuzhou Normal Univ,Xuzhou 221009,China
摘    要:1IntroductionRecentlytmultiplepointsboundaryvalueproblemsforordinarydifferentialequationsarcextensivelystudied,see[1-4].Inthispapertweconsiderthesolvabilityofthefollowingsecondorderordinarydifferentialequationwithm-pointboundaryvalueconditionswhere,fsatisfiesCaratheodory'sconditions,al,...,am--2havethesamesign,fi,...,(.--2E(0,1),eEL'(0,1),andthesignZdenotesthesumZ7=i'.InthecaseOfa=Zal/1,theproblem(1.1),(1.2)wasstudiedin[1],bymeansoftheLeray-Schaudercontinuationtheorem,whileinthecaseofor51a…


SOLVABILITY OF M-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
Chang Fubao. SOLVABILITY OF M-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS[J]. Acta Mathematica Scientia, 1998, 0(2)
Authors:Chang Fubao
Abstract:In this paper, mainly by means of the coincidence degree method, the existence of solutions for m-point boundary value problems at resonance of second order ordinary differential equations is discussed.
Keywords:Coincidence degree   m-point BVP   resonance   Caratheodory's conditions.
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