期刊文献+

4n阶常微分方程三点边值问题解的存在性

Existence of solutions of three-point boundary value problems for 4nth-order differential equation
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摘要 本文利用上-下解的方法,讨论了非线性4n阶常微分方程的非线性三点边值问题解的存在性. The methods of up-lower solution is used to study the existence of solutions of nonlinear three point boundary value problems for nonlinear 4nth order differential equation.
作者 高永馨
出处 《哈尔滨工业大学学报》 EI CAS CSCD 北大核心 2003年第10期1274-1277,共4页 Journal of Harbin Institute of Technology
关键词 常微分方程 三点边值问题 存在性 SCHAUDER不动点定理 nonlinear 4nth-order differential equation nonlinear three point boundary value problems existence of solutions
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参考文献4

  • 1高永馨,高有.非线性4n阶常微分方程的非线性三点边值问题解的存在性[J].东南大学学报(自然科学版),2002,32(2):288-296. 被引量:1
  • 2JACKSON L K, SCHRADER K. Subfunction and third order differential inequalities [ J]. J Differential Equation, 1970 ( 8 ) : 180 - 194.
  • 3HARTMAN P. Ordinary Differential Equations [ M ].New York: Wiley, 1964.
  • 4KLASEN G A. Differential inequalities and existence theorems for second and third order boundary value problems [J]. J Differential Equation,1971 (10): 529- 537.

二级参考文献4

  • 1高永馨.非线性四阶常微分方程三点边值问题解的存在性[J].应用数学和力学,1996,17(6):543-550. 被引量:6
  • 2[1]Jackson L K, Schrader K.Subfunction and third order differential inequalities [J].J Differential Equation, 1970(8):180-194.
  • 3[2]Hartman P.Ordinary differential equations [M].New York:Wiley,1964.140.
  • 4[3]Klasen G A.Differential inequalities and existence theorems for seco nd and third order boundary value problems [J].J Diflerential Equation,1971(10):529-537.

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