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三阶非线性微分方程两点边值问题解的存在性

Existence of Solutions of Two-point Boundary Value Problems for Third-order Nonlinear Differential Equations
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摘要 利用Schuder不动点定理,给出了两类三阶非线性微分方程的两点边值问题存在解的充分条件. By using the Schauder's fixed point theorem, the sufficient conditions for the existence of solutions of two class two-point boundary value problems for third-order nonlinear differential equations are given.
作者 裴明鹤 茹静
出处 《北华大学学报(自然科学版)》 CAS 2004年第3期193-196,共4页 Journal of Beihua University(Natural Science)
关键词 三阶非线性微分方程 两点边值问题 存在性 Third-order nonlinear differential equations Two-point boundary value problems Existence
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参考文献2

  • 1[1]Liu Wenbin,Peng Li.A Class of Boundary Value Problems for Third-order Nonlinear Differential Equation[J ].Journal of Mathenatical Research and Exposition,1996,16(2):185~189.
  • 2[3]Pei Minghe.Existence and Uniqueness Theorems of Solutions for Third-order Boundary Value Problems[J].J.Diff.Equs and Appl,2003,3:177~183.

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