scholarly journals Stability, bifurcation and transition to chaos in a model of immunosensor based on lattice differential equations with delay

2018 ◽  
pp. 1-31 ◽  
Author(s):  
Vasyl Martsenyuk ◽  
Aleksandra Kłos-Witkowska ◽  
Andriy Sverstiuk
Keyword(s):  
Differential Equations ◽  
Lattice Differential Equations ◽  
Transition To Chaos ◽  
Equations With Delay

WAVE PROPAGATION FOR MONOSTABLE 2-D LATTICE DIFFERENTIAL EQUATIONS WITH DELAY

2013 ◽  
Vol 23 (04) ◽  
pp. 1350077 ◽  
Author(s):  
CUI-PING CHENG ◽  
YOU-HUI SU ◽  
ZHAOSHENG FENG
Keyword(s):  
Wave Propagation ◽  
Asymptotic Behavior ◽  
Differential Equations ◽  
Traveling Wave ◽  
Wave Speed ◽  
Lattice Differential Equations ◽  
Directional Dependence ◽  
Minimal Wave Speed ◽  
Equations With Delay

In this paper, we are concerned with the wave propagation for a system of 2-D lattice differential equations with delay. Under the monostable assumption, the asymptotic behavior, the monotonicity and uniqueness of traveling wave are established when the wave speed is greater than or equal to the minimal wave speed c*(θ) > 0. In addition, the directional dependence of the minimal wave speed is analyzed numerically.

scholarly journals Oscillation Results for Nonlinear Higher-Order Differential Equations with Delay Term

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 446
Author(s):  
Alanoud Almutairi ◽  
Omar Bazighifan ◽  
Youssef N. Raffoul
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Higher Order ◽  
Middle Term ◽  
Delay Term ◽  
Integral Averaging Technique ◽  
Equations With Delay ◽  
Oscillation Of Solutions ◽  
Comparison Technique ◽  
Higher Order Differential Equations

The aim of this work is to investigate the oscillation of solutions of higher-order nonlinear differential equations with a middle term. By using the integral averaging technique, Riccati transformation technique and comparison technique, several oscillatory properties are presented that unify the results obtained in the literature. Some examples are presented to demonstrate the main results.

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