Zobrazeno 1 - 10
of 144
pro vyhledávání: '"34k11"'
Autor:
Torres, Ricardo
We present a version of the classical Floquet-Lyapunov theorem for $\omega-$periodic nonautonomous linear (impulsive and non-impulsive) differential equations with piecewise constant arguments of generalized type (in short, IDEPCAG or DEPCAG). We hav
Externí odkaz:
http://arxiv.org/abs/2403.00661
Autor:
Torres, Ricardo
We give some sufficient conditions that ensure oscillations and nonoscillations for nonautonomous impulsive differential equations with piecewise constant arguments of generalized type. We cover several cases of differential equations with deviated a
Externí odkaz:
http://arxiv.org/abs/2403.00034
Buchanan and Lillo both conjectured that oscillatory solutions of the first-order delay differential equation with positive feedback $x^{\prime }(t)=p(t)x(\tau (t))$, $t\geq 0$, where $0\leq p(t)\leq 1$, $0\leq t-\tau (t)\leq 2.75+\ln2,t\in \mathbb{R
Externí odkaz:
http://arxiv.org/abs/2308.06295
We obtain several new comparison results on the distance between zeros and local extrema of solutions for the second order delay differential equation \begin{equation*} x^{\prime \prime }(t)+p(t)x(t-\tau (t))=0,~~t\geq s\text{ }\ \end{equation*} wher
Externí odkaz:
http://arxiv.org/abs/2306.13228
Delay-induced self-oscillation excitation in the FitzHugh-Nagumo model: regular and chaotic dynamics
The stochastic FitzHugh-Nagumo model with time delayed-feedback is often studied in excitable regime to demonstrate the time-delayed control of coherence resonance. Here, we show that the impact of time-delayed feedback in the FitzHugh-Nagumo neuron
Externí odkaz:
http://arxiv.org/abs/2302.12159
Autor:
Naber, M. G., Lymburner, L.
Publikováno v:
Appl. Appl. Math. Vol 14, Issue 1 (2019), pp.164-187
In this paper the Bagley-Torvik Equation is considered with the order of the damping term allowed to range between one and two. The solution is found to be representable as a convolution of trigonometric and exponential functions with the driving for
Externí odkaz:
http://arxiv.org/abs/2211.07575
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 15, Iss 2, Pp 259-271 (2023)
This paper discusses the oscillatory behavior of solutions to a class of second-order nonlinear noncanonical neutral differential equations. Sufficient conditions for all solutions to be oscillatory are given. Examples are provided to illustrate all
Externí odkaz:
https://doaj.org/article/5e10d07af84f495499b4b9b1d812143d
Publikováno v:
Demonstratio Mathematica, Vol 56, Iss 1, Pp 787-794 (2023)
In this work, we study new asymptotic properties of positive solutions of the even-order neutral differential equation with the noncanonical operator. The new properties are iterative, which means they can be used several times. We also use these pro
Externí odkaz:
https://doaj.org/article/409efc402a754f5ba5a6c3240ff7b912
In this paper, a stage structured predator-prey model with general nonlinear type of functional response is established and analyzed. The state-dependent time delay (hereafter SDTD) is the time taken from predator's birth to its maturity, formatted a
Externí odkaz:
http://arxiv.org/abs/2106.09183
Autor:
Anikushin, Mikhail, Romanov, Andrey
Publikováno v:
Phys. D: Nonlinear Phenom., 445 (2023) 133653
We revisit the classical Suarez-Schopf delayed oscillator. Special attention is paid to the region of linear stability in the space of parameters. By means of the theory of inertial manifolds developed in our adjacent papers, we provide analytical-nu
Externí odkaz:
http://arxiv.org/abs/2102.11711