| ON THE APPLICATIONS OF LERAY-SCHAUDER CONTINUATION THEOREM TO BOUNDARY VALUE PROBLEMS OF SEMILINEAR DIFFERENTIAL EQUATIONS |
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| 引用本文： | 章梅荣,韩云瑞. ON THE APPLICATIONS OF LERAY-SCHAUDER CONTINUATION THEOREM TO BOUNDARY VALUE PROBLEMS OF SEMILINEAR DIFFERENTIAL EQUATIONS[J]. Annals of Differential Equations, 1997, 0(2) |
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| 作者姓名： | 章梅荣 韩云瑞 |
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| 作者单位： | 清华大学!100084 |
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| 摘 要： | 1IntroductionLeray-Schauderdegree,anditsvariantssuchascoinidencedegree113]andtopologicaltransversality[4],isanefficienttooltostudythesolvabilityofboundaryvalueproblemsfornonlineardifferentialequations,especiallyf'Orsemilineardifferentialequations.Bytherec…
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ON THE APPLICATIONS OF LERAY -SCHAUDER CONTINUATION THEOREM TO BOUNDARY VALUE PROBLEMS OF SEMILINEAR DIFFERENTIAL EQUATIONS |
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| 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, 0(2) |
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| Authors: | Zhang Meirong Han Yunrui |
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| 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. |
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| Keywords: | Boundary value problem nonlinear differential equation Leray-Schauder degree Green function |
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