On oscillation of integro-differential equations

被引：1
|
作者：
Grace, Said R. [1 ]
Zafer, Agacik [2 ]
机构：
[1] Cairo Univ, Fac Engn, Dept Engn Math, Giza, Egypt
[2] Amer Univ Middle East, Fac Engn & Technol, Dept Math, Eqaila, Kuwait
来源：
TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 01期
关键词：
Integro-differential equation; oscillation; singular; Volterra equation; VOLTERRA; BEHAVIOR;
D O I：
10.3906/mat-1612-21
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the oscillatory behavior of solutions for integro-differential equations of the form x'(t) = e(t) - integral(t)(0) (t - s)(alpha-1) k(t,s) f (s,x(s))ds, t >= 0 where 0 < alpha < 1. Our method is based on the use of the beta function and asymptotic behavior of nonoscillatory solutions. An example is given to illustrate the main result. Equations of this form include Caputo type fractional differential equations, so the results are applicable to some fractional type differential equations as well.
引用
收藏
页码：204 / 210
页数：7
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