Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

Wyszukujesz frazę "boundedness" wg kryterium: Temat


Tytuł:
A recurrence theorem for square-integrable martingales
Autorzy:
Alsmeyer, Gerold
Powiązania:
https://bibliotekanauki.pl/articles/1290203.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
martingale
stochastic $L_2$-boundedness
recurrence
first passage time
Blackwell's renewal theorem
coupling
Opis:
Let $(M_n)_{n≥0}$ be a zero-mean martingale with canonical filtration $(ℱ_n)_{n≥0}$ and stochastically $L_2$-bounded increments $Y_1,Y_2,..., $ which means that $P(|Y_n| > t | ℱ_{n-1}) ≤ 1 - H(t)$ a.s. for all n ≥ 1, t > 0 and some square-integrable distribution H on [0,∞). Let $V^2 = ∑_{n≥1} E(Y_{n}^{2}|ℱ_{n-1})$. It is the main result of this paper that each such martingale is a.s. convergent on {V < ∞} and recurrent on {V = ∞}, i.e. $P(M_{n} ∈ [-c,c] i.o. | V = ∞) = 1$ for some c > 0. This generalizes a recent result by Durrett, Kesten and Lawler [4] who consider the case of only finitely many square-integrable increment distributions. As an application of our recurrence theorem, we obtain an extension of Blackwell's renewal theorem to a fairly general class of processes with independent increments and linear positive drift function.
Źródło:
Studia Mathematica; 1994, 110, 3; 221-234
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On automatic boundedness of Nemytskiĭ set-valued operators
Autorzy:
Rolewicz, S.
Song, Wen
Powiązania:
https://bibliotekanauki.pl/articles/1289712.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Nemytskiĭ set-valued operators
superposition measurable set-valued operators
automatic boundedness
modular spaces
Opis:
Let X, Y be two separable F-spaces. Let (Ω,Σ,μ) be a measure space with μ complete, non-atomic and σ-finite. Let $N_F$ be the Nemytskiĭ set-valued operator induced by a sup-measurable set-valued function $F:Ω × X → 2^{Y}$. It is shown that if $N_F$ maps a modular space $(N(L(Ω,Σ,μ;X)), ϱ_{N,μ})$ into subsets of a modular space $(M(L(Ω,Σ,μ;Y)),ϱ_{M,μ})$, then $N_F$ is automatically modular bounded, i.e. for each set K ⊂ N(L(Ω,Σ,μ;X)) such that $r_K = sup{ϱ_{N,μ}(x) : x ∈ K} < ∞$ we have $sup{ϱ_{M,μ}(y): y ∈ N_F(K)} < ∞$.
Źródło:
Studia Mathematica; 1995, 113, 1; 65-72
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
$L^{2}$ and $L^{p}$ estimates for oscillatory integrals and their extended domains
Autorzy:
Pan, Yibiao
Sampson, Gary
Szeptycki, Paweł
Powiązania:
https://bibliotekanauki.pl/articles/1220148.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
$L^p$ boundedness
oscillatory integrals
extended domains
Calderón-Zygmund kernels
Opis:
We prove the $L^p$ boundedness of certain nonconvolutional oscillatory integral operators and give explicit description of their extended domains. The class of phase functions considered here includes the function $|x|^{α}|y|^{β}$. Sharp boundedness results are obtained in terms of α, β, and rate of decay of the kernel at infinity.
Źródło:
Studia Mathematica; 1997, 122, 3; 201-224
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory
Autorzy:
Badraoui, Salah
Powiązania:
https://bibliotekanauki.pl/articles/1338841.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
global existence
boundedness
reaction-diffusion equations
large time behaviour
Opis:
We are concerned with the boundedness and large time behaviour of the solution for a system of reaction-diffusion equations modelling complex consecutive reactions on a bounded domain under homogeneous Neumann boundary conditions. Using the techniques of E. Conway, D. Hoff and J. Smoller [3] we also show that the bounded solution converges to a constant function as t → ∞. Finally, we investigate the rate of this convergence.
Źródło:
Applicationes Mathematicae; 1999, 26, 2; 133-150
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The concept of boundedness and the Bohr compactification of a MAP Abelian group
Autorzy:
Galindo, Jorge
Hernández, Salvador
Powiązania:
https://bibliotekanauki.pl/articles/1205259.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Bohr topology
LCA group
$ℒ_∞$-group
boundedness
locally convex vector space
DF-space
maximally almost periodic
respects compactness
C-embedded
C*-embedded
Opis:
Let G be a maximally almost periodic (MAP) Abelian group and let ℬ be a boundedness on G in the sense of Vilenkin. We study the relations between ℬ and the Bohr topology of G for some well known groups with boundedness (G,ℬ). As an application, we prove that the Bohr topology of a topological group which is topologically isomorphic to the direct product of a locally convex space and an $ℒ_∞$-group, contains "many" discrete C-embedded subsets which are C*-embedded in their Bohr compactification. This result generalizes an analogous theorem of van Douwen for the discrete case and some other ones due to Hartman and Ryll-Nardzewski concerning the existence of $I_0$-sets. We also obtain some results on preservation of compactness for the Bohr topology of several types of MAP Abelian groups, like $ℒ_∞$-groups, locally convex vector spaces and free Abelian topological groups.
Źródło:
Fundamenta Mathematicae; 1999, 159, 3; 195-218
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Composition operators: $N_α$ to the Bloch space to $Q_β$
Autorzy:
Xiao, Jie
Powiązania:
https://bibliotekanauki.pl/articles/1206089.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
composition operator
boundedness
compactness
$N_α$
β
Q_β
Opis:
Let $N_α$,B and Q_β be the weighted Nevanlinna space, the Bloch space and the Q space, respectively. Note that B and $Q_β$ are Möbius invariant, but $N_α$ is not. We characterize, in function-theoretic terms, when the composition operator $C_ϕ f=f◦ϕ$ induced by an analytic self-map ϕ of the unit disk defines an operator $C_ϕ:N_α→B$, $B→Q_β$, $N_α→Q_β$ which is bounded resp. compact.
Źródło:
Studia Mathematica; 2000, 139, 3; 245-260
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of higher-level energy norms of strong solutions to a wave equation with localized nonlinear damping and a nonlinear source term
Autorzy:
Lasiecka, I.
Toundykov, D.
Powiązania:
https://bibliotekanauki.pl/articles/970252.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
wave equation
localized nonlinear damping
nonlinear source
stability
uniform boundedness
higher energy
strong solutions
Opis:
We derive global in time a priori bounds on higher-level energy norms of strong solutions to a semilinear wave equation: in particular, we prove that despite the influence of a nonlinear source, the evolution of a smooth initial state is globally bounded in the strong topology ∼ H2 x H1. And the bound is uniform with respect to the corresponding norm of the initial data. It is known that an m-accretive semigroup generator moriotoni-cally propagates smoothness of the initial condition; however, this result does not hold in general for Lipschitz perturbations of monotone systems where higher order Sobolev norms of the solution may blowup asymptotically as t → ∞. Due to nonlinearity of the system, the only a priori global-in-time bound that follows from classical methods is that on finite energy: ∼ H1 x L2. We show that under some correlation between growth rates of the damping and the source, the norms of topological order above the finite energy level remain globally bounded. Moreover, we also establish this result when damping exhibits sublinear or superlinear growth at the origin, or at infinity, which has immediate applications to asymptotic estimates on the decay rates of the finite energy. The approach presented in the paper is not specific to the wave equation, and can be extended to other hyperbolic systems: e.g. plate, Maxwell, and Schrodinger equations.
Źródło:
Control and Cybernetics; 2007, 36, 3; 681-710
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the global attractivity and the periodic character of a recursive sequence
Autorzy:
Elsayed, E. M.
Powiązania:
https://bibliotekanauki.pl/articles/952823.pdf
Data publikacji:
2010
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
stability
periodic solutions
boundedness
difference equations
Opis:
In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence [formula], where the parameters a, b, c, d and e are positive real numbers and the initial conditions x-2, x-1 and x0 are positive real numbers.
Źródło:
Opuscula Mathematica; 2010, 30, 4; 431-446
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability criteria for a class of stochastic distributed delay systems
Autorzy:
Ficak, B.
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/201928.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
stochastic delay differential equations
stability
boundedness
distributed delay
Opis:
In the paper linear distributed delay stochastic systems are considered. Using theory of stochastic differential equations sufficient conditions for different kinds of stability are formulated and proved. The article attempts to generalise results presented in the paper [1] and thus theorems proved in [1] become a special case of a generalised approach. The considered class is wider - the function that influence dynamics of a problem can be a real solution of N-degree linear deterministic differential equation. Therefore the generalised reduction technique of distributed delay to lumped delay has to be applied. Criteria for numerous properties of the aforementioned class followed Mao theory designed for point delay systems [2, 3].
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 1; 221-228
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boundedness of set-valued stochastic integrals
Autorzy:
Kisielewicz, Michał
Powiązania:
https://bibliotekanauki.pl/articles/729617.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
set-valued mapping
Itô set-valued integral
set-valued stochastic process
integrably boundedness of set-valued integral
Opis:
The paper deals with integrably boundedness of Itô set-valued stochastic integrals defined by E.J. Jung and J.H. Kim in the paper [4], where has not been proved that this integral is integrably bounded. The problem of integrably boundedness of the above set-valued stochastic integrals has been considered in the paper [7] and the monograph [8], but the problem has not been solved there. The first positive results dealing with this problem due to M. Michta, who showed (see [11]) that there are bounded set-valued -nonanticipative mappings having unbounded Itô set-valued stochastic integrals defined by E.J. Jung and J.H. Kim. The present paper contains some new conditions implying unboundedness of the above type set-valued stochastic integrals.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2015, 35, 2; 197-207
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Of ‘Bodies’ and Related Names in the History of English Semantics: Semantic Dynamics vs. Semantic Boundedness
Autorzy:
Dekeyser, Xavier
Powiązania:
https://bibliotekanauki.pl/articles/888750.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Warszawski. Wydawnictwa Uniwersytetu Warszawskiego
Tematy:
historical semantics
body
corpse
dynamic lexeme
dynamics
boundedness
Opis:
This paper deals with the names for both living and dead bodies, more particularly OE lic and lichama, OE bodig and finally ME corpse. The main focus will be on the contrast between semantic dynamics and boundedness, together with what we refer to as semantic redeployment. Body proves to be a very dynamic lexeme. In addition, it also contributed to the system of grammaticalized quantifier pronouns. This is in sharp contrast with the boundedness of lic and lichama, which gradually got lost in the course of ME. Initially, the loan lexeme corpse seemed to follow the semantic paradigm of body. However, in present-day English it has only preserved its prototypical meaning of dead body. Interestingly, my data suggest that words related to ‘death’ do not tend to give rise to any metonymical or metaphorical developments. The eventual result of these lexico-semantic changes is a far-reaching redeployment in Modern English in terms of a binary contrast between two lexical items: polysemous body, with a vast array of mostly metaphorical meanings, and monosemous corpse.
Źródło:
Anglica. An International Journal of English Studies; 2015, 24/2; 63-78
0860-5734
Pojawia się w:
Anglica. An International Journal of English Studies
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some stability conditions for scalar Volterra difference equations
Autorzy:
Berezansky, L.
Migda, M.
Schmeidel, E.
Powiązania:
https://bibliotekanauki.pl/articles/254995.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear and nonlinear Volterra difference equations
boundedness of solutions
exponential and asymptotic stability
Opis:
New explicit stability results are obtained for the following scalar linear difference equation [formula] and for some nonlinear Volterra difference equations.
Źródło:
Opuscula Mathematica; 2016, 36, 4; 459-470
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The control of drilling vibrations: A coupled PDE-ODE modeling approach
Autorzy:
Saldivar, B.
Mondié, S.
Ávila Vilchis, J. C.
Powiązania:
https://bibliotekanauki.pl/articles/331138.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
drilling vibrations
LMI approach
ultimate boundedness
coupled wave-ODE system
Opis:
The main purpose of this contribution is the control of both torsional and axial vibrations occurring along a rotary oilwell drilling system. The model considered consists of a wave equation coupled to an ordinary differential equation (ODE) through a nonlinear function describing the rock–bit interaction. We propose a systematic method to design feedback controllers guaranteeing ultimate boundedness of the system trajectories and leading consequently to the suppression of harmful dynamics. The proposal of a Lyapunov–Krasovskii functional provides stability conditions stated in terms of the solution of a set of linear and bilinear matrix inequalities (LMIs, BMIs). Numerical simulations illustrate the efficiency of the obtained control laws.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 2; 335-349
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ultimate state boundedness of underactuated spacecraft subject to an unmatched disturbance
Autorzy:
Moradi, R.
Alikhani, A.
Jegarkandi, M. F.
Powiązania:
https://bibliotekanauki.pl/articles/280303.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
underactuated spacecraft stabilization
non-matched disturbances
global uniform ultimate boundedness
Opis:
Ultimate state boundedness for underactuated spacecraft subject to large non-matched disturbances is attained. First, non-smooth time-invariant state feedback control laws that make the origin asymptotically stable are obtained. Then, the controller is extended to make the closed-loop system globally uniformly ultimately bounded under the following conditions: 1) the disturbances acting on the directly actuated states are known and 2) the disturbance acting on the unactuated state is bounded and its profile need not be known. Finally, numerical simulations are presented to verify the analytical results. A large step disturbance is considered, and it is shown that the proposed controller makes the closed-loop system globally uniformly ultimately bounded. The proposed method is rather general and can be extended to other systems.
Źródło:
Journal of Theoretical and Applied Mechanics; 2017, 55, 3; 1055-1066
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bi-/multilingual Communication, Identity and the Posited Intermingling of Language Systems in the Mind
Autorzy:
Singleton, David
Powiązania:
https://bibliotekanauki.pl/articles/783266.pdf
Data publikacji:
2019
Wydawca:
Wydawnictwo Uniwersytetu Śląskiego
Tematy:
bilingual
multilingual
boundedness
differentiation
identity
separate development
interaction
Quintus Ennius
strategic objectives
non-normative
Opis:
There seems to be a desire abroad in some areas of our field to abandon all talk of bounds between language-varieties in the mind. The response offered here to such a position is that language knowledge in the mind is all its aspects, in fact, highly differentiated, and that this differentiation broadly follows the lines recognized by the traditional conception which draws (always, of course, crossable) lines between languages. One powerful set of evidence in favour of this latter claim is that offered by phenomena observable in everyday bilingual and multilingual language use and interaction.  Such evidence bespeaks a necessary capacity on the part of multilinguals to keep their languages apart when using them, and an adeptness – even at a very early age – at making decisions as to which language to speak to whom.  The article explores such phenomena, which are heavy with consequences for the unboundedness view of languages. Another dimension of bilingual/multilingual experience which bespeaks boundedness is the way in which different languages connect to different identities or aspects of identity, which is also discussed in the article.
Źródło:
Theory and Practice of Second Language Acquisition; 2019, 5, 2; 25-38
2450-5455
2451-2125
Pojawia się w:
Theory and Practice of Second Language Acquisition
Dostawca treści:
Biblioteka Nauki
Artykuł

Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies