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两类四阶非线性常微分方程两点边值问题解的存在性 被引量:1

Existence of Solutions of Two Class Two-Point Boundary Value Problems for Fourth-Order Nonlinear Differential Equations
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摘要 利用Schauder不动点定理给出了两类四阶非线性常微分方程问题存在解的充分条件 The existence theories of solutions of two class two point boundary value Problems for fourth order nonlinear differential equations is established by using the Schauder's fixed point theorem.
出处 《东北电力学院学报》 2002年第4期53-57,共5页 Journal of Northeast China Institute of Electric Power Engineering
关键词 四阶非线性常微分方程 两点边值 存在性 SCHAUDER不动点定理 求解 Fourth Order Nonlinear Differential Equation Two Point Boundary Value Problem Existence
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  • 1[1]AFTABIZADEH A R. Existence and uniqueness t heorems for fourth-order boundary value problems [J]. Math. Anal. Appl., 1986, 116: 415-426.
  • 2[2]GUPTA C P. Eixstence and uniqueness theorems for the bending of an elastic beam equation [J]. Appl. Anal., 1988, 26: 289-304. [3]GUPTA C P and LAKSHMIKANTHAM V. Existence and uniqueness theorems for a thirdorder three-point boundary value problem [J]. Nonlinear Analysis, 1991, 16: 949-957.

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