REPRESENTATION OF SOLUTIONS OF A SECOND ORDER DELAY DIFFERENTIAL EQUATION

被引:0
|
作者
Qiu, Kee [1 ,2 ]
Wang, Jinrong [3 ,4 ]
机构
[1] Guizhou Educ Univ, Sch Math & Big Data, Guiyang 550018, Guizhou, Peoples R China
[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[3] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[4] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
关键词
Second order delay differential equations; delayed matrix functions; fractal set; LINEAR DISCRETE-SYSTEMS; CONSTANT-COEFFICIENTS; CONTROLLABILITY; STABILITY; PARTS;
D O I
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we study an inhomogeneous second order delay differential equation on the fractal set R-alpha n (0 < alpha <= 1), based on the theory of local calculus. We introduce delay cosine and sine type matrix functions and give their properties on the fractal set. We give the representation of solutions to second order differential equations with pure delay and two delays.
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页数:20
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