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一类三阶两点边值问题解的存在唯一性

Existent Uniqueness of the Solution for a Third-order Two-point Boundary Value Problem
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摘要 研究了一类三阶隐式微分方程两点边值问题解存在的唯一性,利用压缩映像原理获得了解的存在性结果. The existence and uniqueness of solution to two-point boundary value problem of third order implicit ordinary differential equations are discussed,then the existence result is obtained by employing the contraction mapping principle.
作者 姚晓斌
出处 《宁夏师范学院学报》 2011年第3期90-92,共3页 Journal of Ningxia Normal University
基金 陇南师范高等专科学校科研项目(2009LSZK06008)
关键词 隐式常微分方程 压缩映像原理 存在唯一性 Implicit ordinary differential equations Contraction mapping principle Existent uniqueness
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参考文献7

  • 1Agarwal R P. Two-point problems for non-linear third order differential equations[ J]. Math. Phys. Sci. 1974.8 : 571-576.
  • 2Das K M, Lalli B S. Boundary value problems for y" = f(x,y, y', y") [ J]. Math. Analysis Applie. 1981,81 : 300-307.
  • 3Agarwal R P. On boundary value problems for y" = f(x,y,y', y". )bulletin of the institute of mathematics [ J ]. academia, sinica, 1984,12 ( 2 ) : 153-157.
  • 4Baxley J V, Brown S E. Existence and uniqueness for two-point boundary value problems Proceedings of the Royal Society of Edinburgh[ J]. 1981,88A :219-234.
  • 5王金枝.三阶非线性常微分方程边值问题解的存在性与唯一性[J].内蒙古大学学报(自然科学版),1991,22(3):300-310. 被引量:4
  • 6裴明鹤.三阶非线性常微分方程非线性两点边值问题解的存在性与唯一性[J].数学杂志,1997,17(2):261-266. 被引量:4
  • 7D Guo, J Sun. Nonlinear Integral Equations [ M ]. Shandong Jinan :Science and echnology Press 1987 (in Chinese ).

二级参考文献2

  • 1团体著者,数学百科辞典,1984年
  • 2尤秉礼,常微分方程补充教程,1981年

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