ON THE APPLICATIONS OF LERAY-SCHAUDER CONTINUATION THEOREM TO BOUNDARY VALUE PROBLEMS OF SEMILINEAR DIFFERENTIAL EQUATIONS ON THE APPLICATIONS OF LERAY -SCHAUDER CONTINUATION THEOREM TO BOUNDARY VALUE PROBLEMS OF SEMILINEAR DIFFERENTIAL EQUATIONS期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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ON THE APPLICATIONS OF LERAY-SCHAUDER CONTINUATION THEOREM TO BOUNDARY VALUE PROBLEMS OF SEMILINEAR DIFFERENTIAL EQUATIONS

作者姓名：	章梅荣韩云瑞

作者单位：	清华大学!100084

摘要：	1IntroductionLeray-Schauderdegree,anditsvariantssuchascoinidencedegree113]andtopologicaltransversality4],isanefficienttooltostudythesolvabilityofboundaryvalueproblemsfornonlineardifferentialequations,especiallyf'Orsemilineardifferentialequations.Bytherec…
ON THE APPLICATIONS OF LERAY -SCHAUDER CONTINUATION THEOREM TO BOUNDARY VALUE PROBLEMS OF SEMILINEAR DIFFERENTIAL EQUATIONS

Zhang Meirong , Han Yunrui.ON THE APPLICATIONS OF LERAY-SCHAUDER CONTINUATION THEOREM TO BOUNDARY VALUE PROBLEMS OF SEMILINEAR DIFFERENTIAL EQUATIONS[J].微分方程年刊(英文版),1997(2).

Authors:	Zhang Meirong Han Yunrui

Abstract:	In this paper, we propose that the Green functions are benefit to obtainingthe necessary estimates in the applications of Leray-Schauder degree to boundaryvalue problems of nonlinear differential equations. As an example, a three pointboundary value problem of second order differential equations is considered inthis paper and all of the results obtained by the Wirtinger type inequalities anddifferential inclusions in Gupta 5] and Marano 11] will be improved.

Keywords:	Boundary value problem nonlinear differential equation Leray-Schauder degree Green function
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