| Summary: | 碩士 === 國立交通大學 === 應用數學研究所 === 85 ===
In this thesis, we study the problem of stability region of a linear two delay differential equation. This region is determined by the three constant coefficients and two delay parameters.
In the first chapter, we will introduce the historical background of the two delay equation and some basic properties of the two delay equation. The well known results of Hale and Huang on two delay differential equation will be stated.
In the second chapter, we classified the relation between the coefficients of the equation into four types of situations. By using the special eigenvalue in characteristic equation, we could tell the relation between parameters and the stability region.
In the third chapter, we concentrate on studying the two basic types, so that the boundary curve of the stability region could be described in terms of a function relation between two delay parameters.
In the fourth chapter, we used the results of the third chapter to study the remaining types of the stability region through both the theoretical analysis and numerical computations. Finally we presented all the computer graph results corresponding to all types and some special type of situations.
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