An asymptotic result for a certain type of delay dynamic equation with biological background

2020 ◽  
Vol 43 (12) ◽  
pp. 7303-7310
Author(s):  
Halis Can Koyuncuoğlu ◽  
Nezihe Turhan ◽  
Murat Adıvar
Keyword(s):  
Dynamic Equation ◽  
Asymptotic Result ◽  
Delay Dynamic Equation

scholarly journals On the Oscillation of Second Order Nonlinear Neutral Delay Dynamic Equations

2007 ◽  
Vol 14 (4) ◽  
pp. 597-606
Author(s):  
Hassan A. Agwo
Keyword(s):  
Dynamic Equation ◽  
Time Scale ◽  
Second Order ◽  
Dynamic Equations ◽  
Sufficient Condition ◽  
Neutral Delay ◽  
Oscillation Criteria ◽  
Delay Dynamic Equation ◽  
Neutral Delay Dynamic Equation ◽  
Delay Dynamic Equations

Abstract In this paper we obtain some new oscillation criteria for the second order nonlinear neutral delay dynamic equation (𝑥(𝑡) – 𝑝(𝑡)𝑥(𝑡 – τ 1))ΔΔ + 𝑞(𝑡)𝑓(𝑥(𝑡 – τ 2)) = 0, on a time scale 𝕋. Moreover, a new sufficient condition for the oscillation sublinear equation (𝑥(𝑡) – 𝑝(𝑡)𝑥(𝑡 – τ 1))″ + 𝑞(𝑡)𝑓(𝑥(𝑡 – τ 2)) = 0, is presented, which improves other conditions and an example is given to illustrate our result.

Oscillation criteria for higher order nonlinear delay dynamic equations on time scales

2016 ◽  
Vol 66 (3) ◽  
Author(s):  
Xin Wu ◽  
Taixiang Sun
Keyword(s):  
Time Scales ◽  
Dynamic Equation ◽  
Time Scale ◽  
Higher Order ◽  
Dynamic Equations ◽  
Oscillation Criteria ◽  
Arbitrary Time ◽  
Delay Dynamic Equation ◽  
Delay Dynamic Equations ◽  
Nonlinear Delay

AbstractIn this paper, we study the oscillation criteria of the following higher order nonlinear delay dynamic equationon an arbitrary time scalewith

scholarly journals Oscillatory Behavior of Euler Type Delay Dynamic Equations withp-Laplacian Like Operators

2018 ◽  
Vol 228 ◽  
pp. 01004
Author(s):  
Ying Sui ◽  
Yulong Shi ◽  
Yige Zhao ◽  
Zhenlai Han
Keyword(s):  
Dynamic Equation ◽  
Oscillatory Behavior ◽  
Dynamic Equations ◽  
Delay Dynamic Equation ◽  
Delay Dynamic Equations ◽  
Inequality Technique ◽  
New Criteria

We consider the Euler type delay dynamic equation withp-Laplacin like operators $ (x^{{^{\Delta } }} (v)|x^{{^{\Delta } }} (v)|^{{p - 2}} )^{{^{\Delta } }} + a(v)x^{{^{\Delta } }} (v)|^{{p - 2}} + r(v)x(\delta (v))|x(\delta (v))|^{{p - 2}} = 0 $ , where $ v \in [v_{0} ,\infty ) $ By using new inequality technique, we give some new criteria, which complement related contributions results.

scholarly journals Qualitative Analysis of Solutions of Nonlinear Delay Dynamic Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Mehmet Ünal ◽  
Youssef N. Raffoul
Keyword(s):  
Fixed Point ◽  
Qualitative Analysis ◽  
Time Scales ◽  
Dynamic Equation ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Dynamic Equations ◽  
Delay Dynamic Equation ◽  
Delay Dynamic Equations ◽  
Nonlinear Delay

We use the fixed point theory to investigate the qualitative analysis of a nonlinear delay dynamic equation on an arbitrary time scales. We illustrate our results by applying them to various kind of time scales.

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