scholarly journals Asymptotic behavior and aging of a low temperature cascading 2-GREM dynamics at extreme time scales

2019 ◽  
Vol 24 (0) ◽  
Author(s):  
Luiz Renato Fontes ◽  
Véronique Gayrard
Keyword(s):  
Asymptotic Behavior ◽  
Low Temperature ◽  
Time Scales

scholarly journals Oscillatory and asymptotic behavior of solutions for second-order mixed nonlinear integro-dynamic equations with maxima on time scales

Filomat ◽  
2019 ◽  
Vol 33 (10) ◽  
pp. 2907-2929
Author(s):  
Hassan Agwa ◽  
Mokhtar Naby ◽  
Heba Arafa
Keyword(s):  
Asymptotic Behavior ◽  
Time Scales ◽  
Oscillatory Behavior ◽  
Second Order ◽  
Dynamic Equations ◽  
Asymptotic Behavior Of Solutions

This paper is concerned with the oscillatory and asymptotic behavior for solutions of the following second-order mixed nonlinear integro-dynamic equations with maxima on time scales (r(t)(z?(t))?)? + ?t0 a(t,s) f(s, x(s))?s + ?n,i=1 qi(t) max s?[?i(t),?i(t)] x?(s) = 0, where z(t) = x(t) + p1(t)x(?1(t)) + p2(t)x(?2(t)), t ? [0,+?)T. The oscillatory behavior of this equation hasn?t been discussed before, also our results improve and extend some results established by Grace et al. [2] and [8].

scholarly journals Asymptotic behavior of linear advanced dynamic equations on time scales

2019 ◽  
Vol 38 (1) ◽  
pp. 97-110
Author(s):  
Malik Belaid ◽  
Abdelouaheb Ardjouni ◽  
Ahcene Djoudi
Keyword(s):  
Asymptotic Behavior ◽  
Time Scales ◽  
Dynamic Equations

scholarly journals Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Taixiang Sun ◽  
Hongjian Xi ◽  
Xiaofeng Peng
Keyword(s):  
Asymptotic Behavior ◽  
Time Scales ◽  
Higher Order ◽  
Dynamic Equations ◽  
Asymptotic Behavior Of Solutions

scholarly journals Oscillation Criteria for Third-Order Nonlinear Neutral Dynamic Equations with Mixed Deviating Arguments on Time Scales

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 552
Author(s):  
Zhiyu Zhang ◽  
Ruihua Feng ◽  
Irena Jadlovská ◽  
Qingmin Liu
Keyword(s):  
Asymptotic Behavior ◽  
Time Scales ◽  
Dynamic Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Riccati Transformation ◽  
Third Order ◽  
Deviating Arguments ◽  
Oscillation Criteria ◽  
Inequality Technique ◽  
Neutral Dynamic Equations

Under a couple of canonical and mixed canonical-noncanonical conditions, we investigate the oscillation and asymptotic behavior of solutions to a class of third-order nonlinear neutral dynamic equations with mixed deviating arguments on time scales. By means of the double Riccati transformation and the inequality technique, new oscillation criteria are established, which improve and generalize related results in the literature. Several examples are given to illustrate the main results.

Asymptotic behavior of solutions of forced third-order dynamic equations

Analysis ◽  
2019 ◽  
Vol 39 (1) ◽  
pp. 1-6 ◽  
Author(s):  
Martin Bohner ◽  
Said R. Grace ◽  
Irena Jadlovská
Keyword(s):  
Asymptotic Behavior ◽  
Time Scales ◽  
Dynamic Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Nonlinear Functions ◽  
Third Order ◽  
Nonoscillatory Solutions ◽  
All Solutions

Abstract This paper deals with asymptotic behavior of nonoscillatory solutions of certain third-order forced dynamic equations on time scales. The main goal is to investigate when all solutions behave at infinity like certain nontrivial nonlinear functions.

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