| SOLVABILITY OF M-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS |
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| 作者姓名： | 张福保 |
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| 作者单位： | Dept. of Math.，Xuzhou Normal Univ，Xuzhou 221009，China |
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| 摘 要： | 1IntroductionRecentlytmultiplepointsboundaryvalueproblemsforordinarydifferentialequationsarcextensivelystudied,see1-4].Inthispapertweconsiderthesolvabilityofthefollowingsecondorderordinarydifferentialequationwithm-pointboundaryvalueconditionswhere,fsatisfiesCaratheodory'sconditions,al,...,am--2havethesamesign,fi,...,(.--2E(0,1),eEL'(0,1),andthesignZdenotesthesumZ7=i'.InthecaseOfa=Zal/1,theproblem(1.1),(1.2)wasstudiedin1],bymeansoftheLeray-Schaudercontinuationtheorem,whileinthecaseofor51a…
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SOLVABILITY OF M-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS |
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| Chang Fubao.SOLVABILITY OF M-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,1998(2). |
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| Authors: | Chang Fubao |
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| 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. |
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| Keywords: | Coincidence degree m-point BVP resonance Caratheodory's conditions |
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