Results 41 to 50 of about 89,989 (306)

Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations

open access: yes, 2011
Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Qi Luo   +5 more
core   +1 more source

On a non-local boundary value problem for linear functional differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2009
We establish new efficient conditions for the unique solvability of a non-local boundary value problem for first-order linear functional differential equations.
Zdenek Oplustil, Jiří Šremr
doaj   +1 more source

Oscillation of half-linear differential equations with mixed type of argument

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
This paper is devoted to the study of the oscillatory behavior of half-linear functional differential equations with deviating argument of the form \begin{equation*}\label{Eabs} \left(r(t)(y'(t))^{\alpha}\right)'=p(t)y^{\alpha}(\tau(t)). \tag{$E$} \end{
Jozef Džurina, Blanka Baculíková
doaj   +1 more source

On Singular Solutions of Linear Functional Differential Equations with Negative Coefficients

open access: yesJournal of Inequalities and Applications, 2008
The problem on solutions with specified growth for linear functional differential equations with negative coefficients is treated by using two-sided monotone iterations. New theorems on the existence and localisation of such solutions are established.
András Rontó, Vita Pylypenko
doaj   +2 more sources

Versal unfoldings for linear retarded functional differential equations

open access: yesJournal of Differential Equations, 2003
We consider parametrized families of linear retarded functional differential equations (RFDEs) projected onto finite-dimensional invariant manifolds, and address the question of versality of the resulting parametrized family of linear ordinary differential equations.
Buono, Pietro-Luciano   +1 more
openaire   +3 more sources

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

open access: yesFEBS 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   +3 more
wiley   +1 more source

A Hilbert Space Approach to Fractional Differential Equations [PDF]

open access: yes, 2022
We study fractional differential equations of Riemann–Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on R, we define fractional operators by means of a functional calculus using the Fourier transform.
Diethelm, Kai   +5 more
core   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

open access: yesFEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li   +2 more
wiley   +1 more source

Distributional and entire solutions of ordinary differential and functional differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
A brief survey of recent results on distributional and entire solutions of ordinary differential equations (ODE) and functional differential equations (FDE) is given. Emphasis is made on linear equations with polynomial coefficients.
S. M. Shah, Joseph Wiener
doaj   +1 more source

Analytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties

open access: yesمجلة بغداد للعلوم, 2021
This paper aims to find new analytical closed-forms to the  solutions of the nonhomogeneous functional differential equations of the nth order with finite and constants delays and various initial delay conditions in terms of elementary functions using ...
Amal khalaf Haydar   +2 more
doaj   +1 more source

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