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Wyszukujesz frazę "Lipschitz condition" wg kryterium: Temat


Tytuł:
On a certain property of generalized Hölder functions
Autorzy:
Lupa, M.
Powiązania:
https://bibliotekanauki.pl/articles/122720.pdf
Data publikacji:
2015
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Lipschitz condition
generalized Hölder condition
y-Hölder condition
Opis:
In this paper some properties of functions belonging to the space Wy[a,b] of generalized Hölder functions are considered. These functions are r-times differentiable and their r-th derivatives satisfy the generalized Hölder condition. The main result of the paper is a proof of the fundamental lemma that the recursive model-defined functions ℎk: I × Rk+1 → R, k = 0,1, … , r are a special form and belong to the space Wy[a,b].
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 127-132
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A special case of generalized Hölder functions
Autorzy:
Lupa, M.
Powiązania:
https://bibliotekanauki.pl/articles/122471.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Lipschitz condition
generalized Hölder condition
equivalency of norms
Opis:
In this paper some properties of a special case of generalized Hölder functions, which belong to the space W γ [a, b], are considered. These functions are r-times differentiable and their r-th derivatives satisfy the generalized Hölder condition. The main result of the paper is a proof of the theorem that product of two functions belonging to the space W γ [a, b] also belongs to this space.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 81-89
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a result by Clunie and Sheil-Small
Autorzy:
Partyka, Dariusz
Sakan, Ken-ichi
Powiązania:
https://bibliotekanauki.pl/articles/747161.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Harmonic mappings
Lipschitz condition
bi-Lipchitz condition
co-Lipchitz condition
quasiconformal mappings
Opis:
In 1984 J. Clunie and T. Sheil-Small proved ([2, Corollary 5.8]) that for any complex-valued and sense-preserving injective harmonic mapping \(F\) in the unit disk \(\mathbb{D}\), if \(F(\mathbb{D})\) is a convex domain, then the inequality \(|G(z_2)-G(z_1)| < |H(z_2)- H(z_1)|\) holds for all distinct points \(z_1, z_2 \in \mathbb{D}\). Here \(H\) and \(G\) are holomorphic mappings in \(\mathbb{D}\) determined by \(F = H + \overline{G}\), up to a constant function. We extend this inequality by replacing the unit disk by an arbitrary nonempty domain \(\Omega\) in \(\mathbb{C}\) and improve it provided \(F\) is additionally a quasiconformal mapping in \(\Omega\).
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2012, 66, 2
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation by nonlinear integral operators in some modular function spaces
Autorzy:
Bardaro, Carlo
Musielak, Julian
Vinti, Gianluca
Powiązania:
https://bibliotekanauki.pl/articles/1311190.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
modular space
nonlinear integral operator
generalized Lipschitz condition
approximation by singular integrals
Opis:
Let G be a locally compact Hausdorff group with Haar measure, and let L⁰(G) be the space of extended real-valued measurable functions on G, finite a.e. Let ϱ and η be modulars on L⁰(G). The error of approximation ϱ(a(Tf - f)) of a function $f ∈ (L⁰(G))_{ϱ+η} ∩ Dom T$ is estimated, where $(Tf)(s) = ∫_G K(t-s,f(t))dt$ and K satisfies a generalized Lipschitz condition with respect to the second variable.
Źródło:
Annales Polonici Mathematici; 1996, 63, 2; 173-182
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new Kantorovich-type theorem for Newtons method
Autorzy:
Argyros, Ioannis
Powiązania:
https://bibliotekanauki.pl/articles/1338842.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Newton's method
Lipschitz-Hölder condition
Kantorovich hypothesis
Banach space
Opis:
A new Kantorovich-type convergence theorem for Newton's method is established for approximating a locally unique solution of an equation F(x)=0 defined on a Banach space. It is assumed that the operator F is twice Fréchet differentiable, and that F', F'' satisfy Lipschitz conditions. Our convergence condition differs from earlier ones and therefore it has theoretical and practical value.
Źródło:
Applicationes Mathematicae; 1999, 26, 2; 151-157
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Practical Mittag-Leffler stability of quasi-one-sided Lipschitz fractional order systems
Autorzy:
Basdouri, Imed
Kasmi, Souad
Lerbet, Jean
Powiązania:
https://bibliotekanauki.pl/articles/27312007.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
fractional-order systems
Caputo derivative
quasi-one-sided Lipschitz condition
nonlinear systems
observer design
output feedback stabilization
separation principle
Opis:
This paper focuses on the global practical Mittag-Leffler feedback stabilization problem for a class of uncertain fractional-order systems. This class of systems is a larger class of nonlinearities than the Lipschitz ones. Based on the quasi-one-sided Lipschitz condition, firstly, we provide sufficient conditions for the practical observer design. Then, we exhibit that practical Mittag-Leffler stability of the closed loop system with a linear, state feedback is attained. Finally, a separation principle is established and we prove that the closed loop system is practical Mittag-Leffler stable.
Źródło:
Archives of Control Sciences; 2023, 33, 1; 55--70
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Time-parametric control : uniform convergence of the optimal value functions of discretized problems
Autorzy:
Gugat, M.
Powiązania:
https://bibliotekanauki.pl/articles/206773.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
ciąg
dyskretyzacja
funkcja celu
optymalizacja parametryczna
profil momentu
systemy sterowania minimalno-czasowe
warunek Hoeldera
warunek Lipschitza
zbieżność jednakowa
continuity
discretization
Hoelder condition
Lipschitz condition
moment problems
optimal value function
parametric optimization
time-minimal control
uniform convergence
Opis:
The problem of time-optimal control of linear hyperbolic systems is equivalent to the computation of the root of the optimal value function of a time-parametric program, whose feasible set is described by a countable system of moment equations. To compute this root, discretized problems with a finite number of equality constraints can be used. In this paper, we show that on a certain time-interval, the optimal value functions of the discretized problems converge uniformly to the optimal value function of the original problem. We also give sufficient conditions fot Lipschitz and Hoelder continuity of the optimal value function of the original problem.
Źródło:
Control and Cybernetics; 1999, 28, 1; 7-33
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hemivariational inequalities governed by the p-Laplacian - Neumann problem
Autorzy:
Naniewicz, Z.
Powiązania:
https://bibliotekanauki.pl/articles/970247.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Neumann problem
noncoercive hemivariational inequality
unilateral growth condition
critical point theory
locally Lipschitz functional
Opis:
A hemivariational inequality involving p-Laplacian is studied under the hypothesis that the nonlinear part fulfills the unilateral growth condition. The existence of solutions for problems with Neumann boundary conditions is established by making use of Chang's version of the critical point theory for nonsmooth locally Lipschitz functionals, combined with the Galerkin method. The approach is based on the recession technique introduced previously by the author.
Źródło:
Control and Cybernetics; 2007, 36, 3; 727-754
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive observer-based fault estimation for a class of Lipschitz nonlinear systems
Autorzy:
Oucief, N.
Tadjine, M.
Labiod, S.
Powiązania:
https://bibliotekanauki.pl/articles/229517.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nonlinear adaptive observer
fault estimation
strictly positive real
Lipschitz systems
observer matching condition
LMI
Opis:
Fault input channels represent a major challenge for observer design for fault estimation. Most works in this field assume that faults enter in such a way that the transfer functions between these faults and a number of measured outputs are strictly positive real (SPR), that is, the observer matching condition is satisfied. This paper presents a systematic approach to adaptive observer design for joint estimation of the state and faults when the SPR requirement is not verified. The proposed method deals with a class of Lipschitz nonlinear systems subjected to piecewise constant multiplicative faults. The novelty of the proposed approach is that it uses a rank condition similar to the observer matching condition to construct the adaptation law used to obtain fault estimates. The problem of finding the adaptive observer matrices is formulated as a Linear Matrix Inequality (LMI) optimization problem. The proposed scheme is tested on the nonlinear model of a single link flexible joint robot system.
Źródło:
Archives of Control Sciences; 2016, 26, 2; 245-259
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discontinuous quasilinear elliptic problems at resonance
Autorzy:
Kourogenis, Nikolaos
Papageorgiou, Nikolaos
Powiązania:
https://bibliotekanauki.pl/articles/966108.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
compact embedding
Poincaré's inequality
Palais-Smale condition
critical point
variational method
Mountain Pass Theorem
subdifferential
problems at resonance
locally Lipschitz functional
Opis:
In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.
Źródło:
Colloquium Mathematicum; 1998, 78, 2; 213-223
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł

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