impulsive delay
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A refined discretized timer-dependent Lyapunov functional for impulsive delay systems

Automatica ◽  
2021 ◽  
Vol 134 ◽  
pp. 109929
Author(s):  
Wu-Hua Chen ◽  
Kexin Zhang ◽  
Xiaomei Lu
Keyword(s):  
Lyapunov Functional ◽  
Delay Systems ◽  
Impulsive Delay

scholarly journals Oscillation Criteria for Second Order Impulsive Delay Dynamic Equations on Time Scale

2021 ◽  
Vol 45 (4) ◽  
pp. 531-542
Author(s):  
GOKULA NANDA CHHATRIA ◽  
Keyword(s):  
Time Scale ◽  
Second Order ◽  
Dynamic Equations ◽  
Riccati Transformation ◽  
Transformation Technique ◽  
Oscillation Criteria ◽  
Delay Dynamic Equations ◽  
Impulsive Delay

In this work, we study the oscillation of a kind of second order impulsive delay dynamic equations on time scale by using impulsive inequality and Riccati transformation technique. Some examples are given to illustrate our main results.

scholarly journals Second-Order Impulsive Delay Differential Systems: Necessary and Sufficient Conditions for Oscillatory or Asymptotic Behavior

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 722
Author(s):  
Shyam Sundar Santra ◽  
Khaled Mohamed Khedher ◽  
Osama Moaaz ◽  
Ali Muhib ◽  
Shao-Wen Yao
Keyword(s):  
Asymptotic Behavior ◽  
Differential System ◽  
Necessary Conditions ◽  
Sufficient Conditions ◽  
Differential Systems ◽  
Sufficient And Necessary Conditions ◽  
Impulsive Delay ◽  
Delay Differential Systems ◽  
Delay Differential ◽  
Necessary And Sufficient

In this work, we aimed to obtain sufficient and necessary conditions for the oscillatory or asymptotic behavior of an impulsive differential system. It is easy to notice that most works that study the oscillation are concerned only with sufficient conditions and without impulses, so our results extend and complement previous results in the literature. Further, we provide two examples to illustrate the main results.

scholarly journals New generalized conformable fractional impulsive delay differential equations with some illustrative examples

2021 ◽  
Vol 6 (8) ◽  
pp. 8149-8172
Author(s):  
Hua Wang ◽  
◽  
Tahir Ullah Khan ◽  
Muhammad Adil Khan ◽  
Sajid Iqbal ◽  
...  
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Impulsive Delay Differential Equations ◽  
Impulsive Delay ◽  
Delay Differential

scholarly journals Exponential stabilization of fixed and random time impulsive delay differential system with applications

2021 ◽  
Vol 18 (3) ◽  
pp. 2384-2400
Author(s):  
A. Vinodkumar ◽  
◽  
T. Senthilkumar ◽  
S. Hariharan ◽  
J. Alzabut ◽  
...  
Keyword(s):  
Differential System ◽  
Random Time ◽  
Exponential Stabilization ◽  
Impulsive Delay ◽  
Delay Differential System ◽  
Delay Differential

Input-to-State Stability of Impulsive Delay Systems With Multiple Impulses

2021 ◽  
Vol 66 (1) ◽  
pp. 362-368
Author(s):  
Peng Li ◽  
Xiaodi Li ◽  
Jianquan Lu
Keyword(s):  
Delay Systems ◽  
Impulsive Delay

scholarly journals Some Remark on Oscillation of Second Order Impulsive Delay Dynamic Equations on Time Scales

2020 ◽  
Vol 76 (1) ◽  
pp. 115-126
Author(s):  
Gokula Nanda Chhatria
Keyword(s):  
Time Scales ◽  
Time Scale ◽  
Second Order ◽  
Dynamic Equations ◽  
Riccati Transformation ◽  
Transformation Technique ◽  
Oscillation Criteria ◽  
Delay Dynamic Equations ◽  
Impulsive Delay

AbstractThis article deals with the oscillation criteria for a very extensively studied second order impulsive delay dynamic equations on time scale by using the Riccati transformation technique. Some examples are given to show the effect of impulse and to illustrate our main results.

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