| 2n阶非线性微分方程的第二边值问题 |
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| 引用本文： | 吕显瑞,徐庆,等.2n阶非线性微分方程的第二边值问题[J].东北数学,2002,18(1):23-32. |
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| 作者姓名： | 吕显瑞 徐庆 等 |
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| 作者单位： | LU Xianrui (Department of Mathematics，Jilin University，Changchun，130012)XU Qing (Naval Submarine Academy，Qingdao，266071)GAO Guangxue (Department of Mathematics，Hulan Normal College，Harbin，150500) |
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| 摘 要： | Sufficient conditions for the existence and uniqueness of second boundary value problems of two kinds of even order nonlinear differential equations are obtained. The proofs are based on the lemma on bilinear form, developed by A.C.Lazer, Schauder fixed point theorem and the Leray-Schauder degree theory, respectively.
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| 关 键 词： | 非线性微分方程 第二边值问题 存在性 唯一性 Schauder不动点定理 Leray-Schauder度理论 先验估计 解 |
Second Boundary Value Problems for 2n-th Order Nonlinear Differential Equations |
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| LU Xianrui.Second Boundary Value Problems for 2n-th Order Nonlinear Differential Equations[J].Northeastern Mathematical Journal,2002,18(1):23-32. |
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| Authors: | LU Xianrui |
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| Institution: | [1]DepartmentofMathematics,JilinUniversity,Changchun,130012 [2]NavalSubmarineAcademy,Qingdao,266071 |
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| Abstract: | Sufficient conditions for the existence and uniqueness of second boundary value problems of two kinds of even order nonlinear differential equations are obtained.The proofs are based on the lemma on bilinear form,developed by A.C.Lazer,Schauder fixed point theorem and the Leray-Schauder degree theory,respectively. |
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| Keywords: | Second boundary value problem 2n-th order differential eauation Existence and uniqueness |
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