Results 31 to 40 of about 428,756 (295)

Zero Order Estimates for Analytic Functions [PDF]

, 2011
The primary goal of this paper is to provide a general multiplicity estimate. Our main theorem allows to reduce a proof of multiplicity lemma to the study of ideals stable under some appropriate transformation of a polynomial ring.
Amou M., Atiyah M. F., Becker P.-G., Bombieri E., Bosser V., Brownawell W. D., Brownawell W. D., Eisenbud D., EVGENIY ZORIN, Groethendieck A., Kaplansky I., Kolchin E. R., Nesterenko Yu. V., Nesterenko Yu. V., Nishioka K., Nishioka K., Philippon P., Schneider Th., Siegel C. L., Siegel C. L., Töpfer Th.   +20 more
core   +1 more source

Instability for a class of second order delay differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2017
There exists a well-developed stability theory for all classes of functional-differential equations and only few results on instability. The aim of this paper is partially reduce this gap.
Leonid Berezansky, Alexander Domoshnitsky   +1 more
doaj   +1 more source

Versal unfoldings for linear retarded functional differential equations

Journal 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, LeBlanc, Victor G.   +1 more
openaire   +3 more sources

The Optimization of Trajectories of Linear Functional Differential Equations [PDF]

SIAM Journal on Control, 1970
Our aim in this paper is to examine a number of fundamental questions in the theory of optimal control of processes monitored by certain general systems of linear functional differential equations with finite memories. In our model the controls may appear in a very general nonlinear functional manner which permits us to consider retardations of a ...
Banks, H. T., Jacobs, Marc Q.
openaire   +2 more sources

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

Electronic 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

Electronic 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

Almost periodic solutions of periodic linear partial functional differential equations

, 2018
We study conditions for the abstract periodic linear functional differential equation $\dot{x}=Ax+F(t)x_t+f(t)$ to have almost periodic with the same structure of frequencies as $f$.
Luong, Vu Trong, Van Minh, Nguyen
core   +1 more source

POISSON PROBLEM FOR A LINEAR FUNCTIONAL DIFFERENTIAL EQUATION

Tambov University Reports. Series: Natural and Technical Sciences, 2016
The solvability, existence and positiveness of the Green function of the Poisson problem -∆uΩu y -u x r x,dy =ρf, u | Γ( Ω) =0 are showed. The spectral properties of corresponding eigenvalue problem are considered. Here Ω is an open set in R N and ΓΩ is the boundary of the Ω. For almost all x Ω, r x,∙ is a measure satisfying certain symmetry condition.
LABOVSKIY SERGEI MIKHAILOVICH, GETIMANE M´ARIO FRENGUE   +1 more
openaire   +2 more sources

Mean-Field Stochastic Linear Quadratic Optimal Control Problems: Closed-Loop Solvability

, 2016
An optimal control problem is studied for a linear mean-field stochastic differential equation with a quadratic cost functional. The coefficients and the weighting matrices in the cost functional are all assumed to be deterministic.
Li, Xun, Sun, Jingrui, Yong, Jiongmin
core   +1 more source

Pulmonary Dysfunction Is Associated With Sleep Study Abnormalities in Children With Sickle Cell Disease: A Multicenter Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Pulmonary dysfunction and sleep abnormalities are common in children with sickle cell disease (SCD) and are associated with worse clinical outcomes. Whether spirometry abnormalities are associated with polysomnography (PSG) findings remains unclear.
Ammar Saadoon Alishlash, Anis Rabbani Nourani, A. K. M. Fazlur Rahman, Dima Ezmigna, Tarig Ali‐Dinar   +4 more
wiley   +1 more source