【摘要】：本文研究的是兩類微分方程三點(diǎn)邊值問題,在滿足Legget t-Williams不動(dòng)點(diǎn)定理的條件下,分別探討并證明了二階脈沖時(shí)滯微分方程及分?jǐn)?shù)階微分方程的三點(diǎn)邊值問題的三個(gè)對(duì)稱正解的存在性,并給出了數(shù)值舉例.文章的敘述結(jié)構(gòu)安排如下:第一章介紹研究課題的背景、研究現(xiàn)狀及意義,以及本文的研究方法、主要結(jié)果:第二章主要研究二階脈沖時(shí)滯微分方程的三點(diǎn)邊值問題的三個(gè)對(duì)稱正解的存在性并給出了數(shù)值舉例;第三章主要研究了分?jǐn)?shù)階時(shí)滯微分方程的三點(diǎn)邊值問題的三個(gè)對(duì)稱正解的存在性并給出了數(shù)值舉例.
[Abstract]:In this paper, we study two kinds of three-point boundary value problems for differential equations. Under the condition of satisfying the Legget t-Williams fixed point theorem, The existence of three symmetric positive solutions for three point boundary value problems of second order impulsive delay differential equations and fractional order differential equations are discussed and proved, and numerical examples are given. The narrative structure of the article is as follows: the first chapter introduces the background of the research topic, the status quo and significance of the research, as well as the research methods of this paper. The main results are as follows: in the second chapter, the existence of three symmetric positive solutions for the three-point boundary value problems of second order impulsive delay differential equations is studied and numerical examples are given. In chapter 3, the existence of three symmetric positive solutions for three point boundary value problems of fractional delay differential equations is studied and numerical examples are given.
【學(xué)位授予單位】：上海師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：O175.8

【參考文獻(xiàn)】

相關(guān)期刊論文 前2條

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本文編號(hào)：2360599