scholarly journals Oscillation of a First Order Linear Impulsive Delay Differential Equation with Continuous and Piecewise Constant Arguments

2017 ◽  
Vol 5 (46) ◽  
Author(s):  
Fatma Karakoç
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Piecewise Constant Arguments ◽  
Piecewise Constant ◽  
Order Linear ◽  
First Order ◽  
Impulsive Delay ◽  
Impulsive Delay Differential Equation ◽  
Delay Differential

scholarly journals Oscillation and Periodicity of a Second Order Impulsive Delay Differential Equation with a Piecewise Constant Argument

2017 ◽  
Vol 25 (2) ◽  
pp. 89-98
Author(s):  
Gizem S. Oztepe ◽  
Fatma Karakoc ◽  
Huseyin Bereketoglu
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Second Order ◽  
Piecewise Constant ◽  
Piecewise Constant Argument ◽  
Impulsive Delay ◽  
Impulsive Delay Differential Equation ◽  
Delay Differential ◽  
Constant Argument

Abstract This paper concerns with the existence of the solutions of a second order impulsive delay differential equation with a piecewise constant argument. Moreover, oscillation, nonoscillation and periodicity of the solutions are investigated.

scholarly journals Oscillation of impulsive delay differential equations and applications to population dynamics

2005 ◽  
Vol 46 (4) ◽  
pp. 545-554 ◽  
Author(s):  
Jurang Yan ◽  
Aimin Zhao ◽  
Linping Peng
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Impulsive Delay Differential Equations ◽  
Impulsive Delay ◽  
Impulsive Delay Differential Equation ◽  
Delay Differential ◽  
Necessary And Sufficient ◽  
Nonlinear Delay Differential Equation ◽  
Nonlinear Delay ◽  
Oscillation And Nonoscillation

AbstractThe main result of this paper is that the oscillation and nonoscillation properties of a nonlinear impulsive delay differential equation are equivalent respectively to the oscillation and nonoscillation of a corresponding nonlinear delay differential equation without impulse effects. An explicit necessary and sufficient condition for the oscillation of a nonlinear impulsive delay differential equation is obtained.

An Oscillation Criterion for First Order Linear Delay Differential Equations

1998 ◽  
Vol 41 (2) ◽  
pp. 207-213 ◽  
Author(s):  
CH. G. Philos ◽  
Y. G. Sficas
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Delay Differential Equation ◽  
Delay Differential Equations ◽  
Oscillation Criterion ◽  
Order Linear ◽  
First Order ◽  
Linear Delay ◽  
Delay Differential

AbstractA new oscillation criterion is given for the delay differential equation , where and the function T defined by is increasing and such that . This criterion concerns the case where .

scholarly journals Oscillation tests for first-order linear differential equations with non-monotone delays

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Emad R. Attia
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Delay Differential Equation ◽  
Linear Differential Equations ◽  
Order Linear ◽  
First Order ◽  
Linear Delay ◽  
Linear Differential ◽  
A New Technique ◽  
Delay Differential

AbstractWe study the oscillation of a first-order linear delay differential equation. A new technique is developed and used to obtain new oscillatory criteria for differential equation with non-monotone delay. Some of these results can improve many previous works. An example is introduced to illustrate the effectiveness and applicability of our results.

scholarly journals Global attractivity of a class of delay differential equations with impulses

2003 ◽  
Vol 45 (2) ◽  
pp. 271-284 ◽  
Author(s):  
Yuji Liu ◽  
Binggen Zhang
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Delay Differential Equation ◽  
Delay Differential Equations ◽  
Global Attractivity ◽  
Sufficient Conditions ◽  
Zero Solution ◽  
Impulsive Delay ◽  
Impulsive Delay Differential Equation ◽  
Delay Differential

AbstractIn this paper, we study the global attractivity of the zero solution of a particular impulsive delay differential equation. Some sufficient conditions that guarantee every solution of the equation converges to zero are obtained.

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