禹海兰,裴明鹤.四阶非线性微分方程两点边值问题解的存在性与唯一性[J].数学研究及应用,2001,21(1):44~46 |
四阶非线性微分方程两点边值问题解的存在性与唯一性 |
Existence and Uniqueness of Solutions of Two-Point Boundary Value Problem for Fourth-OrderNonlinear Differential Equation |
投稿时间:1998-05-12 |
DOI:10.3770/j.issn:1000-341X.2001.01.008 |
中文关键词: |
英文关键词:boundary value problem existence uniqueness |
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中文摘要: |
本文利用Leray-Schauder理论,给出了一类四阶非线性微分方程的两点边值问题存在解与存在唯一解的具体的充分条件. |
英文摘要: |
By using the Leray-Schauder degree theory we give the concrete sufficient conditions of the existence and uniqueness of solutionsof a class two point boundary value problems for fourth-order nonlinear differential equation. |
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