障碍带条件下两类三阶非线性边值问题解的存在性
Existence of Solutions for Two Class of Third-Order Nonlinear Boundary Value Problems under Barrier Strips Conditions
DOI: 10.12677/PM.2018.83030, PDF,    国家自然科学基金支持
作者: 张冬梅, 路艳琼：西北师范大学数学与统计学院，甘肃 兰州
关键词: 障碍带条件；三阶边值问题；存在性；Leary-Schauder原理；Barrier Strips Conditions； Third-Order Boundary Value Problems； Existence； Leary-Schauder Theorem
摘要: 运用Leray-Schauder原理，研究了两类非线性常微分方程三阶两点边值问题解的存在性问题。在非线性项满足障碍带条件下，建立了上述两类边值问题解的存在性结果，并给出主要结果的应用实例。
Abstract: By using Leary-Schauder theorem, we study the existence of solutions for two classes of nonlinear third-order two-point boundary value problems. We establish the existence results of solutions for the above two classes of boundary value problems with nonlinearity satisfying barrier strips conditions and give some examples to illustrate our main results.
文章引用：张冬梅, 路艳琼. 障碍带条件下两类三阶非线性边值问题解的存在性[J]. 理论数学, 2018, 8(3): 239-246. https://doi.org/10.12677/PM.2018.83030

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