發(fā)布時間：2018-07-21 18:04

【摘要】：本文主要研究了一類逐段常變量微分方程的漸近概自守解的存在性和唯一性,并且我們還建立了概自守型函數(shù)的一些性質(zhì).具體包括如下內(nèi)容:在第一章中,我們闡述了本文的研究背景以及所研究問題的發(fā)展?fàn)顩r;在第二章中,我們介紹了概自守型函數(shù)的基本定義和性質(zhì);在第三章中,我們主要研究以下逐段常變量微分方程:y'(t)=A(t)y(t)+B(t)y([t] +f(t,y(t),y([t])), ∈ R,其中,y(t)是p維復(fù)向量函數(shù)(p是固定的正整數(shù)),A(t)和B(t)是p × p復(fù)矩陣函數(shù).當(dāng)方程的系數(shù)A(·),B(·)和f(·)都是漸近概自守函數(shù)時,我們討論了該方程漸近概自守解的存在性和唯一性.
[Abstract]:In this paper, we mainly study the existence and uniqueness of asymptotically almost self-preserving solutions for a class of piecewise differential equations with constant variables, and we also establish some properties of almost self-conserved functions. The main contents are as follows: in the first chapter, we describe the research background and the development of the research issues; in the second chapter, we introduce the basic definition and properties of the generalized self-defense function; in the third chapter, We study the following piecewise differential equations with constant variables: a (t) y (t) B (t) y ([t] f (t y (t), 鈭，

本文編號：2136340