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Oscillation of Solutions of Two Functional Differential Equations

Author: HanYongJun
Tutor: WangLiangLong
School: Anhui University
Course: Basic mathematics
Keywords: Functional Differential Equations Neutral Equations Oscillation
CLC: O175
Type: Master's thesis
Year: 2010
Downloads: 11
Quote: 0
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Abstract


This dissertation is concerned with the oscillation of functional differential equations and is composed of three parts.In the first chapter, some related background and basic concepts are given. Some differences between ordinary differential equations and functional differential equations are illustrated with concrete examples.The second chapter is concerned with the oscillation of solutions of two neutral functional differential equations as following Under the suitable conditions, the oscillation behavior of solutions is obtained by mathematical analysis. An example is given to illustrate the main results in this chapter.The third chapter first discusses the nonlinear higher order differential equation as following Some new oscillation criterions of solutions of this equation are established. Using the same technique, oscillation criterion is also established for a certain forced nonlinear neutral equation

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