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Existence of Non-oscillation Solutions for Some Kinds of Differential Equations and Difference System

Author: HuangJunYun
Tutor: LiChengFu
School: Xiangtan University
Course: Applied Mathematics
Keywords: Delay Differential Differential system Nonoscillation
CLC: O175
Type: Master's thesis
Year: 2008
Downloads: 17
Quote: 0
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Abstract


This article focuses on the types Differential Equations Existence and differential system eventually non - zero solutions exist . Text is divided into four chapters : The first chapter briefly outlines the historical background and research problem significance, and outlines the main content of this paper the second chapter , we discuss a class of second order linear differential equations y (t ) p (t) y ( t ) = 0 , the presence of non - vibration solutions , and article extend and improve the third chapter discusses forced delay differential equation d / dt [ x ( t) c (t ) x ( t - τ) ] f ( t, x ( t - σ the 1 < / sub >) , ... , x ( t- σ 1 )) = g (t ) by constructing compressed mapping its nonoscillatory solution exists sufficient condition , and some related articles for the improvement and promotion fourth chapter discusses a class of differential system ( x ( k) px ( k - τ )) Q ( k ) x ( k- σ ) = 0 , by constructing compressed mapping its final non- zero sufficient condition of existence .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
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