| THREE-POINT BOUNDARY VALUE PROBLEMSFOR A CLASS OF THREE ORDER DIFFERENTIAL INCLUSIONS |
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| 作者姓名： | ZHANG Fubao |
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| 作者单位： | Department of Mathematics，Shandong University，Jinan 250100，China |
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| 摘 要： | 1.IntroductionandLemmasThree-pointboundaryvalueproblems(BVPforshort)forthreeorderdifferentialequationsareveryusefulincertainpracticalworkandattractcloseattentionextensively,seel--41.Recently,in11,GuptaandLakshmikanthamstudiedthefollowingthree-pointBVP:U"'(x)=f(x,ulU',U")--e(x),(l)u(0)=u(n)=u(1)~0,(2)wheref:0,1]xR3-RdoesnothavetobecontinuousandnE(0,1).ThemainresultisthefollowingTheoremLetfsatisfyCarntheodory'sc.nditions1]andthefollowingconditions:i)3a,b,cER,or(x)ELI0,1],suchthatfo…
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THREE-POINT BOUNDARY VALUE PROBLEMSFOR A CLASS OF THREE ORDER DIFFERENTIAL INCLUSIONS |
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| ZHANG Fubao.THREE-POINT BOUNDARY VALUE PROBLEMSFOR A CLASS OF THREE ORDER DIFFERENTIAL INCLUSIONS[J].Journal of Systems Science and Complexity,1998(2). |
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| Authors: | ZHANG Fubao |
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| Abstract: | Some existence theorems of three-point boundary value problems for a class ofthree order differential inclusions are obtained by means of the topological degree theory forset-valued mappings and an improved Wirtinger's inequality. The results, even restrictedto the case of differential equations, have generized and improved on the related results in1]. Particularlyt a problem raised in Remark 5 in if] is answered definitely. |
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| Keywords: | Three-point boundary value differential inclusion topological degree |
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