Results 21 to 30 of about 6,047,804 (296)
Oscillation of mixed neutral functional differential equations with distributed deviating arguments [PDF]
In this paper, we shall consider mixed neutral functional differential equations. New results on sufficient conditions for the oscillation behavior of solutions for this functional differential equation are presented.
Dahiya R.S. +3 more
core +1 more source
Periodic solutions of neutral functional differential equations
We provide sufficient conditions for the existence and uniqueness of periodic solutions of a general class of neutral functional differential equations of type [Formula presented] defined almost everywhere in R.
Afonso, S. M. [UNESP] +7 more
core +1 more source
Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations [PDF]
A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs).
Wu, Fuke +2 more
core +3 more sources
A class of Neutral Functional Differential Equations
Formulation and study of the initial value problem for neutral functional differential equations. The existence, uniqueness, and continuation of solutions to this problem are investigated, and an analysis is made of the dependence of the solutions on the initial conditions and parameters, resulting in the derivation of a continuous dependence theorem ...
openaire +2 more sources
A Neutral Functional Differential Equation with an Unbounded Kernel
The authors consider the scalar neutral functional differential equation (1) \((d/dt) \int^ 0_{-\infty} g(s)u(t + s)ds = 0\) for \(t \in [0,\infty)\), \(u(t) =\varphi (t)\) for \(t0\), with norm \(\| f \|^ 2 = \int^ 0_{-\infty} e^{-\omega s} h(s)f^ 2(s)ds\).
Turi, Janos, Desch, Wolfgang
openaire +3 more sources
On the asymptotic behavior of neutral functional differential equations
On considere une equation differentielle fonctionnelle de type neutre {x(t)−g(t,x t )}'=f(t,x t ) ou f et g sont des fonctions continues de J×C r →R n , J=[t o ,t 0 +A]
Ntouyas, S. K., Sficas, Y. G.
openaire +2 more sources
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee +2 more
wiley +1 more source
A new generalization of Halanay-type inequality and its applications
In this paper, in order to study the dissipativity of nonlinear neutral functional differential equations, a generalization of the Halanay inequality is given.
Haiyang Wen, Shi Shu, Liping Wen
doaj +1 more source
How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
wiley +1 more source

