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Wyszukujesz frazę "convolution equation" wg kryterium: Temat


Wyświetlanie 1-9 z 9
Tytuł:
Continuation of holomorphic solutions to convolution equations in complex domains
Autorzy:
Ishimura, Ryuichi
Okada, Jun-ichi
Okada, Yasunori
Powiązania:
https://bibliotekanauki.pl/articles/1207967.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
convolution equation
analytic continuation
characteristic set
Opis:
For an analytic functional $S$ on $ℂ^n$, we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in $ℂ^n$. We determine the directions in which every solution can be continued analytically, by using the characteristic set.
Źródło:
Annales Polonici Mathematici; 2000, 74, 1; 105-115
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic properties of discrete linear fractional equations
Autorzy:
Anh, P. T.
Babiarz, A.
Czornik, A.
Niezabitowski, M.
Siegmund, S.
Powiązania:
https://bibliotekanauki.pl/articles/200917.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear discrete-time fractional systems
Caputo equation
Riemann-Liouville equation
Volterra convolution equation
stability
Opis:
In this paper we study the dynamical behavior of linear discrete-time fractional systems. The first main result is that the norm of the difference of two different solutions of a time-varying discrete-time Caputo equation tends to zero not faster than polynomially. The second main result is a complete description of the decay to zero of the trajectories of one-dimensional time-invariant stable Caputo and Riemann-Liouville equations. Moreover, we present Volterra convolution equations, that are equivalent to Caputo and Riemann-Liouvile equations and we also show an explicit formula for the solution of systems of time-invariant Caputo equations.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 4; 749-759
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On optimal boundary and distributed control of partial integro-differential equations
Autorzy:
Khurshudyan, A. Zh.
Powiązania:
https://bibliotekanauki.pl/articles/229762.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
optimal control
integro-differential equation
equation of convolution type
Fourier generalized transform
impulsive control
Opis:
A method of optimal control problems investigation for linear partial integro-differential equations of convolution type is proposed, when control process is carried out by boundary functions and right hand side of equation. Using Fourier real generalized integral transform control problem solution is reduced to minimization procedure of chosen optimality criterion under constraints of equality type on desired control function. Optimality of control impacts is obtained for two criteria, evaluating their linear momentum and total energy. Necessary and sufficient conditions of control problem solvability are obtained for both criteria. Numerical calculations are done and control functions are plotted for both cases of control process realization.
Źródło:
Archives of Control Sciences; 2014, 24, 1; 5-25
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Vector-valued Choquet-Deny theorem, renewal equation and self-similar measures
Autorzy:
Lau, Ka-Sing
Wang, Jian-Rong
Chu, Cho-Ho
Powiązania:
https://bibliotekanauki.pl/articles/1288535.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Choquet-Deny theorem
convolution
exponential function
matrices
renewal equation
self-similar measures
Opis:
The Choquet-Deny theorem and Deny's theorem are extended to the vector-valued case. They are applied to give a simple nonprobabilistic proof of the vector-valued renewal theorem, which is used to study the $L^p$-dimension, the $L^p$-density and the Fourier transformation of vector-valued self-similar measures. The results answer some questions raised by Strichartz.
Źródło:
Studia Mathematica; 1995-1996, 117, 1; 1-28
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The pollutant transport equation for a steady, gradually varied flow in an open channel network: a solution of high accuracy
Autorzy:
Szymkiewicz, R.
Powiązania:
https://bibliotekanauki.pl/articles/1933160.pdf
Data publikacji:
2007
Wydawca:
Politechnika Gdańska
Tematy:
steady gradually varied flow
advection-diffusion equation
splitting technique
integral of convolution
Opis:
The paper is concerned with solving the transport pollutant problem for a steady, gradually varied flow in an open channel network. The 1D advective-diffusive transport equation is solved using the splitting technique. An analytical solution of the linear advective-diffusive equation in the form of an impulse response function is used to solve the advection-diffusion part of the governing equation. This approach, previously applied in solutions of the advection-diffusion equation for a single channel, is extended to a channel network. Numerical calculations are only required to compute the integral of convolution. The finite difference method is used to solve the second part of the governing equation, containing the source term. The applied approach has considerable advantages, especially appreciable in the case of advection-dominated transport with large gradients of concentration, since it generates no numerical dissipation or dispersion. The flow parameters are obtained via solution of the steady, gradually varied flow equation. In the final non-linear system of algebraic equations obtained through approximation of the ordinary differential equation, the depths at each cross-section of channels and the discharge at each branch of the network are considered as unknowns. The system is solved using the modified Picard iteration, which ensures convergence of the iterative process for a steady, gradually varied flow solved for both looped and tree-type open channel networks.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2007, 11, 4; 365-382
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The reactance wave diffraction problem by a strip in a scale of Bessel potential spaces
Autorzy:
Castro, L. P.
Natroshvili, D.
Powiązania:
https://bibliotekanauki.pl/articles/255627.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Helmholtz equation
boundary-transmission problem
wave diffraction
convolution type operator
Wiener-Hopf operator
Fredholm property
factorization
Opis:
We consider a boundary-transmission problem for the Helmholtz equation, in a Bessel potential space setting, which arises within the context of wave diffraction theory. The boundary under consideration consists of a strip, and certain reactance conditions are assumed on it. Operator theoretical methods are used to deal with the problem and, as a consequence, several convolution type operators are constructed and associated to the problem. At the end, the well-posedness of the problem is shown for a range of regularity orders of the Bessel potential spaces, and for a set of possible reactance numbers (dependent on the wave number).
Źródło:
Opuscula Mathematica; 2006, 26, 2; 289-303
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels
Autorzy:
Castro, L. P.
Saitoh, S.
Tuan, N. M.
Powiązania:
https://bibliotekanauki.pl/articles/256011.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Hilbert space
linear transform
reproducing kernel
linear mapping
convolution
norm inequality
integral equation
Tikhonov regularization
Opis:
This paper introduces a general concept of convolutions by means of the theory of reproducing kernels which turns out to be useful for several concrete examples and applications. Consequent properties are exposed (including, in particular, associated norm inequalities).
Źródło:
Opuscula Mathematica; 2012, 32, 4; 633-646
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
$L^q$-spectrum of the Bernoulli convolution associated with the golden ratio
Autorzy:
Lau, Ka-Sing
Ngai, Sze-Man
Powiązania:
https://bibliotekanauki.pl/articles/1217803.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Bernoulli convolution
golden ratio
multifractal measure
$L^q$-spectrum
$L^q$-dimension
Hausdorff dimension
renewal equation
self-similarity
Opis:
Based on a set of higher order self-similar identities for the Bernoulli convolution measure for (√5-1)/2 given by Strichartz et al., we derive a formula for the $L^q$-spectrum, q >0, of the measure. This formula is the first obtained in the case where the open set condition does not hold.
Źródło:
Studia Mathematica; 1998, 131, 3; 225-251
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computer simulation of the electromechanical systems using convolution integral
Symulacja komputerowa układu elektromechanicznego z wykorzystaniem całki splotu
Autorzy:
Moroz, V.
Powiązania:
https://bibliotekanauki.pl/articles/194144.pdf
Data publikacji:
2009
Wydawca:
Politechnika Bydgoska im. Jana i Jędrzeja Śniadeckich. Wydawnictwo PB
Tematy:
układ elektromechaniczny
symulacja komputerowa
całka splotu
układ równań różniczkowych
electromechanical system
computer simulation
convolution integral
ordinary differential equation (ODE)
Opis:
The method of the computer simulation of the electromechanical systems using the recurrent equations based on the convolution integral approximations is presented in the paper.
W artykule przedstawiono metodę symulacji komputerowej układu elektromechanicznego z wykorzystaniem równań rekurencyjnych opartych na aproksymacji całki splotu.
Źródło:
Zeszyty Naukowe. Elektrotechnika / Uniwersytet Technologiczno-Przyrodniczy w Bydgoszczy; 2009, 14; 17-24
0209-0570
Pojawia się w:
Zeszyty Naukowe. Elektrotechnika / Uniwersytet Technologiczno-Przyrodniczy w Bydgoszczy
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-9 z 9

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