Results 21 to 30 of about 75,377 (262)

New oscillation criteria for third-order differential equations with bounded and unbounded neutral coefficients

Electronic Journal of Qualitative Theory of Differential Equations, 2021
This paper examines the oscillatory behavior of solutions to a class of third-order differential equations with bounded and unbounded neutral coefficients. Sufficient conditions for all solutions to be oscillatory are given.
Ercan Tunç, Serpil Şahin, John Graef, Sandra Pinelas   +3 more
doaj   +1 more source

Impulsive partial neutral differential equations

Applied Mathematics Letters, 2006
The authors establish conditions for the existence of mild and strong solutions of a partial neutral functional-differential equation with unbounded delay of the form \[ (d/dt)(x(t)+F(t, x_t)) = Ax(t)+G(t, x_t) \] subject to pre-assigned moments of impulse effects.
Eduardo Hernández Morales, Hernán R. Henríquez   +1 more
openaire   +3 more sources

Oscillation and Nonoscillation for Neutral Differential Equations

Journal of Mathematical Analysis and Applications, 1993
A class of neutral differential equations is investigated. The existence of nonoscillatory positive solutions is proved. Sufficient conditions for the existence of oscillatory solutions of this problem are given.
Zhang, B.G., Yu, J.S.
openaire   +2 more sources

Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation

Abstract and Applied Analysis, 2013
The dynamics of a 2-dimensional neural network model in neutral form are investigated. We prove that a sequence of Hopf bifurcations occurs at the origin as the delay increases.
Ming Liu, Xiaofeng Xu
doaj   +1 more source

Oscillations of higher order neutral differential equations [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1992
AbstractConsider the nth-order neutral differential equation where n ≥ 1, δ = ±1, I, K are initial segments of natural numbers, pi, τi, σk ∈ R and qk ≥ 0 for i ∈ I and k ∈ K. Then a necessary and sufficient condition for the oscillation of all solutions of (E) is that its characteristic equation has no real roots.
Bilchev, S. J., Grammatikopoulos, M. K., Stavroulakis, I. P.   +2 more
openaire   +3 more sources

Asymptotic stability of a neutral integro-differential equation [PDF]

Opuscula Mathematica, 2006
The global stability behavior of a non-autonomous neutral functional integro-differential equation is studied. A sufficient condition for every solution of this equation to tend to zero is given.
Gen-qiang Wang, Sui Sun Cheng
doaj  

Neutral delay equations from and for population dynamics

Electronic Journal of Qualitative Theory of Differential Equations, 2008
For a certain class of neutral differential equations it is shown that these equations can serve as population models in the sense that they can be interpreted as special cases or caricatures of the standard Gurtin-MacCamy model for a population ...
K. P. Hadeler
doaj   +1 more source

Oscillatory behaviour of a class of second order Emden-Fowler differential equations with a sublinear neutral term

Applied Mathematics in Science and Engineering, 2023
This article is dedicated to the oscillatory properties of a second order Emden-Fowler delay differential equation with a sublinear neutral term. The presented criteria extend and improve several well-known results reported recently in the literature ...
Yingzhu Wu, Yuanhong Yu, Jinsen Xiao, Zhan Jiao   +3 more
doaj   +1 more source

Oscillations in Higher-Order Neutral Differential Equations

Canadian Journal of Mathematics, 1993
AbstractConsider the n-th order (n ≥ 1 ) neutral differential equation where σ1 < σ 2 < ∞ and μ and η are increasing real-valued functions on [Ƭ1, Ƭ2] and [σ1, σ2] respectively. The function μ is assumed to be not constant on [Ƭ1, Ƭ2] and [Ƭ1, Ƭ2] for every Ƭ ∈ (Ƭ1, Ƭ2) similarly, for each σ ∈ (σ1, σ2), it is supposed that r\ is not constant on
Philos, C. G., Purnaras, I. K., Sficas, Y. G.   +2 more
openaire   +3 more sources

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source