含参数的四阶周期边值问题的正解

发布时间：2018-04-19 06:53

  本文选题：参数 + 四阶周期边值问题　； 参考：《兰州理工大学》2017年硕士论文

【摘要】：四阶微分方程边值问题因其在工程学、物理学等众多领域中的广泛应用而一直深受追捧.近年来,学者们发现带有周期边值条件的四阶常微分方程边值问题更具有现实指导意义,因此,这类问题便成为了大家热议的焦点.本文研究如下四阶常微分方程周期边值问题其中,p≠0,4a+16p~41,f∈(C_[0,2π]×[0,+∞),[0,+∞)),λ0为参数.第一章介绍了课题的研究背景及一些所需的预备知识.第二章利用Guo-Krasnoselskii不动点定理讨论了上述问题一个或两个正解的存在性.第三章利用Leggett-Williams不动点定理讨论了上述问题的多解性.
[Abstract]:The boundary value problem of fourth order differential equation is widely used in many fields such as engineering, physics and so on.In recent years, scholars have found that the boundary value problems of fourth-order ordinary differential equations with periodic boundary conditions are more practical and instructive, so this kind of problems have become the focus of heated discussion.In this paper, the following periodic boundary value problems for fourth-order ordinary differential equations are studied, where p 鈮，

本文编号：1772036