Some results on a first-order neutral differential equation with piecewise constant mixed arguments

被引:0
|
作者
Kavgaci, Musa Emre [1 ]
Al Obaidi, Huda [1 ]
Bereketoglu, Huseyin [1 ]
机构
[1] Ankara Univ, Fac Sci, Dept Math, Ankara, Turkiye
关键词
Neutral differential equations; Piecewise constant arguments; Oscillation; Nonoscillation; Convergency; ASYMPTOTIC STABILITY; PERIODIC-SOLUTIONS; 2ND-ORDER; BEHAVIOR; CRITERION;
D O I
10.1007/s10998-022-00512-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider a first order neutral differential equation with piecewise constant mixed arguments. We show the existence and uniqueness of solutions of the equation together a given initial condition. Moreover, for the considered equation we establish the conditions of oscillatory and convergency. We also give some examples that illustrate our results.
引用
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页码:265 / 277
页数:13
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