期刊文献+

Existence and Uniqueness of Solutions of Two-Point Boundary Value Problem for Fourth-Order Nonlinear Differential Equation 被引量:3

四阶非线性微分方程两点边值问题解的存在性与唯一性(英文)
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摘要 By using the Leray-Schauder degree theory we give the concrete sufficient conditions of the existence and uniqueness of solutions of a class two point boundary value problems for fourth-order nonlinear differential equation. 本文利用Leray-Schauder理论。
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2001年第1期44-46,共3页 数学研究与评论(英文版)
关键词 boundary value problem EXISTENCE uniqueness. 非线性微分方程 两点边值问题 存在性 唯一性
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参考文献2

  • 1[1]AFTABIZADEH A R. Existence and uniqueness t heorems for fourth-order boundary value problems [J]. Math. Anal. Appl., 1986, 116: 415-426.
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同被引文献7

  • 1马如云.一类四阶两点边值问题的可解性[J].应用数学,1997,10(2):60-62. 被引量:6
  • 2S A Marano.On a boundary value problem for the differential equation f(t,x,x′,x″)=0[J].Math.Anal.Appl.,1994,82:309-319.
  • 3P Kelevedjiev,N Popivanov.Existence of solutions of boundary value problems for the equation f(t,x,x′,x″)=0 with fully nonlinear boundary conditions[J].Annuaire de l′Universite de sofia.,2000,94:65-77.
  • 4M K Grammatikopoulos,P Kelevedjiev,N Popivanov.On the solvability of a singular boundary value problem for the equation[M].Proceedings of the Fourth International Conference of Differential and Functional Differential Equations and Workshop f(t,x,x′,x″)=0,Moscow,Russia,2005:14-21.
  • 5S Carl and S Heikkila.On second order discontinuous implicit boundary value problems with discontinuous implicit boundry conditions[J].Nonlinear Anal.,1998,15:261-279.
  • 6张剑虎,刘文斌,蹇玲玲.一类四阶常微分方程两点边值问题解的存在唯一性[J].大学数学,2009,25(3):110-117. 被引量:1
  • 7马如云.弹性梁方程共振问题的几个多解存在定理[J].应用数学和力学,1993,14(2):180-188. 被引量:6

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