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Wyszukujesz frazę "resolvent operator" wg kryterium: Temat


Wyświetlanie 1-9 z 9
Tytuł:
Mittag-Leffler stability for a Timoshenko problem
Autorzy:
Tatar, Nasser-eddine
Powiązania:
https://bibliotekanauki.pl/articles/1838213.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
Caputo fractional derivative
Mittag-Leffler stability
multiplier technique
resolvent operator
Opis:
A Timoshenko system of a fractional order between zero and one is investigated here. Using a fractional version of resolvents, we establish an existence and uniqueness theorem in an appropriate space. Moreover, it is proved that lower order fractional terms (in the rotation component) are capable of stabilizing the system in a Mittag-Leffler fashion. Therefore, they deserve to be called damping terms. This is shown through the introduction of some new functionals and some fractional inequalities, and the establishment of some properties, involving fractional derivatives. In the case of different wave speeds of propagation we obtain convergence to zero.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 2; 219-232
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a nonlinear integrodifferential evolution inclusion with nonlocal initial conditions in Banach spaces
Autorzy:
Yan, Z.
Powiązania:
https://bibliotekanauki.pl/articles/256031.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlinear integrodifferential evolution inclusions
fixed point
resolvent operator
nonlocal initial condition
Opis:
In this paper, we discuss the existence results for a class of nonlinear integrodifferential evolution inclusions with nonlocal initial conditions in Banach spaces. Our results are based on a fixed point theorem for condensing maps due to Martelli and the resolvent operators combined with approximation techniques.
Źródło:
Opuscula Mathematica; 2012, 32, 2; 377-394
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability for some partial functional integrodifferential equations with nonlocal conditions in Banach spaces
Autorzy:
Ezzinbi, Khalil
Degla, Guy
Ndambomve, Patrice
Powiązania:
https://bibliotekanauki.pl/articles/729519.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
controllability
integrodifferential equations
nonlocal initial condition
resolvent operator
Mönch fixed-point theorem
Opis:
This work concerns the study of the controllability of some partial functional integrodifferential equation with nonlocal initial conditions in Banach spaces. It gives sufficient conditions that ensure the controllability of the system by supposing that its linear homogeneous part admits a resolvent operator in the sense of Grimmer, and by making use of the measure of noncompactness and the Mönch fixed-point theorem. As a result, we obtain a generalization of the work of Y.K. Chang, J.J. Nieto and W.S. Li (J. Optim. Theory Appl. 142, 267-273 (2009)), without assuming the compactness of the resolvent operator. An example of application is given for illustration.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2015, 35, 1; 25-46
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation of abstract linear integrodifferential equations
Autorzy:
Oka, Hirokazu
Tanaka, Naoki
Powiązania:
https://bibliotekanauki.pl/articles/1206081.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
approximation of integrodifferential equation
approximation of
Banach space
resolvent operator
semigroup of class $(C_0)$
Opis:
This paper is devoted to the approximation of abstract linear integrodifferential equations by finite difference equations. The result obtained here is applied to the problem of convergence of the backward Euler type discrete scheme.
Źródło:
Studia Mathematica; 2000, 140, 1; 1-14
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quasilinear vector differential equations with maximal monotone terms and nonlinear boundary conditions
Autorzy:
Bader, Ralf
Papageorgiou, Nikolaos
Powiązania:
https://bibliotekanauki.pl/articles/1208032.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Dirichlet
maximal monotone operator
Yosida approximation
monotone operator
resolvent operator
measurable selection
demicontinuous operator
Neumann and periodic problems
coercive operator
projection theorem
Opis:
We consider a quasilinear vector differential equation which involves the p-Laplacian and a maximal monotone map. The boundary conditions are nonlinear and are determined by a generally multivalued, maximal monotone map. We prove two existence theorems. The first assumes that the maximal monotone map involved is everywhere defined and in the second we drop this requirement at the expense of strengthening the growth hypothesis on the vector field. The proofs are based on the theory of operators of monotone type and on the Leray-Schauder fixed point theorem. At the end we present some special cases (including the classical Dirichlet, Neumann and periodic problems), which illustrate the general and unifying features of our work.
Źródło:
Annales Polonici Mathematici; 2000, 73, 1; 69-92
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A class of nonlocal integrodifferential equations via fractional derivative and its mild solutions
Autorzy:
Wang, J.
Yan, X.
Zhang, X. H.
Wang, T. M
Li, X. Z.
Powiązania:
https://bibliotekanauki.pl/articles/255673.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
integrodifferential equations
fractional derivative
nonlocal conditions
resolvent operator and their norm continuity
fixed point theorem
mild solutions
Opis:
In this paper, we discuss a class of integrodifferential equations with nonlocal conditions via a fractional derivative of the type: [formula]. Some sufficient conditions for the existence of mild solutions for the above system are given. The main tools are the resolvent operators and fixed point theorems due to Banach's fixed point theorem, Krasnoselskii's fixed point theorem and Schaefer's fixed point theorem. At last, an example is given for demonstration.
Źródło:
Opuscula Mathematica; 2011, 31, 1; 119-135
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Resolvent and spectrum of a nonselfadjoint differential operator in a Hilbert space
Autorzy:
Gil’, Michael
Powiązania:
https://bibliotekanauki.pl/articles/747089.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Abstract differential operator
spectrum
resolvent, stability
instability
Opis:
We consider a second order regular differential operator whose coefficients are nonselfadjoint bounded operators acting in a Hilbert space. An estimate for the resolvent and a bound for the spectrum are established. An operator is said to be stable if its spectrum lies in the right half-plane. By the obtained bounds, stability and instability conditions are established.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2012, 66, 1
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a property of weak resolvents and its application to a spectral problem
Autorzy:
Uetake, Yoichi
Powiązania:
https://bibliotekanauki.pl/articles/1294816.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
weak resolvent
cyclic vector
spectral radius
Hardy class
operator model theory
scattering theory
control theory
Opis:
We show that the poles of a resolvent coincide with the poles of its weak resolvent up to their orders, for operators on Hilbert space which have some cyclic properties. Using this, we show that a theorem similar to the Mlak theorem holds under milder conditions, if a given operator and its adjoint have cyclic vectors.
Źródło:
Annales Polonici Mathematici; 1997, 66, 1; 263-268
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some extensions of the a-model
Autorzy:
Jursenas, Rytis
Powiązania:
https://bibliotekanauki.pl/articles/255405.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
finite rank higher order singular perturbation
cascade (A) model
peak model
Hilbert space
scale of Hilbert spaces
Pontryagin space
ordinary boundary triple
Krein Q-function
Weyl function
gamma field
symmetric operator
proper extension
resolvent
Opis:
The A-model for finite rank singular perturbations of class [formula], is considered from the perspective of boundary relations. Assuming further that the Hilbert spaces [formula] admit an orthogonal decomposition [formula], with the corresponding projections satisfying [formula], nontrivial extensions in the A-model are constructed for the symmetric restrictions in the subspaces.
Źródło:
Opuscula Mathematica; 2020, 40, 5; 569-597
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-9 z 9

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