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Tytuł:
The minimal-time growth problem and turnpike effect in the stationary Gale economy
Autorzy:
Panek, Emil
Powiązania:
https://bibliotekanauki.pl/articles/1837720.pdf
Data publikacji:
2021-03-30
Wydawca:
Uniwersytet Ekonomiczny w Poznaniu
Tematy:
stationary Gale economy
minimum-time growth problem
von Neumann equilibrium
production turnpike
von Neumann ray
Opis:
In mathematical economics there is a number of so called “turnpike theorems” proved mainly on the basis of multiproduct models of economic dynamics. According to these theorems, all optimal paths of economic growth over a long period of time converge to a certain path (turnpike) in which the economy achieves the highest growth rate while remaining in a specific dynamic (von Neumann) equilibrium. The article refers to this trend and presents some properties of optimal growth processes in the Gale-type model of the stationary economy when the quality criterion of growth processes is not the utility of production-which is normally postulated in the turnpike theory-but the time needed by the economy to achieve the desired final state, e.g. the level of production or production value. According to the author's knowledge, the idea of using time as a criterion for growth in turnpike theory (especially in Gale-type economy) is innovative. It has been proven that changing the growth criterion does not deprive the Gale economy of its asymptotic / turnpike properties.
Źródło:
Economics and Business Review; 2021, 7, 1; 7-25
2392-1641
Pojawia się w:
Economics and Business Review
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The minimal-time growth problem and 'very strong' turnpike theorem
Autorzy:
Panek, Emil
Powiązania:
https://bibliotekanauki.pl/articles/2034077.pdf
Data publikacji:
2021-03-30
Wydawca:
Główny Urząd Statystyczny
Tematy:
stationary Gale economy
von Neumann equilibrium
minimum-time growth problem
turnpike effect
Opis:
This paper refers to the author's previous work, in which the ‘weak’ turnpike theorem in the stationary Gale economy was proved. This theorem states that each optimal growth process {y*(t)}t*1t=0 that leads the economy in the shortest possible time t*1 from the (initial) state of y0 to the set of target/postulated states Y1 almost always runs in the neighbourhood of the production turnpike, where the economy remains in a specific dynamic equilibrium (peak growth equilibrium). This paper presents a proof of the ‘very strong’ turnpike theorem in the stationary Gale economy, which states that if the optimal process (the solution to the minimaltime growth problem) reaches a turnpike in a certain period of time tˇ < t*1 - 1, then it stays on it everywhere else, except for, at most, final period t*1. The obtained result confirms the wellknown Samuelson hypothesis about the specific turnpike stability of optimal growth paths in multiproduct/multisectoral von Neumann-Leontief-Gale-type models, also in the case where the growth criterion is not the (normally assumed) utility of production but the time needed by the economy to achieve the postulated target level or volume of production.
Źródło:
Przegląd Statystyczny; 2021, 68, 4; 45-58
0033-2372
Pojawia się w:
Przegląd Statystyczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Acoustic Impedance of a Vibrating Annular Piston Located on a Flat Rigid Baffle Around a Semi-Infinite Circular Rigid Cylinder
Autorzy:
Rdzanek, W. P.
Rdzanek, W. J.
Pieczonka, D.
Powiązania:
https://bibliotekanauki.pl/articles/176618.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Neumann boundary value problem
annular piston
acoustic impedance
semi-infinite cylindrical circular rigid baffle
Opis:
The axisymmetric problem of acoustic impedance of a vibrating annular piston embedded into a flat rigid baffle concentrically around a semi-infinite rigid cylindrical circular baffle has been undertaken in this study. The Helmholtz equation has been solved. The Green’s function valid for the zone considered has been used for this purpose. The influence of the semi-infinite cylindrical baffle on the piston’s acoustic impedance has been investigated. The acoustic impedance has been presented in both forms: integral and asymptotic, both valid for the steady harmonic vibrations. Additionally, the acoustic impedances of the piston with and without the cylindrical baffle have been compared to one another. In the case without the cylindrical baffle some earlier results have been used.
Źródło:
Archives of Acoustics; 2012, 37, 4; 411-422
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sound Radiation of a Pulsating Sphere in the Outlet of a Hard/Soft Semi-Spherical Cavity in a Flat Screen
Autorzy:
Rdzanek, W.
Powiązania:
https://bibliotekanauki.pl/articles/950213.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Neumann/Dirichlet problem
sound field
acoustic impedance
continuity
Opis:
A rigorous analysis of sound radiation by a pulsating sphere forming a resonator together with a semispherical cavity is presented. Both hard and soft boundaries are considered, as well as mixed. The problem is solved by dividing the entire region into two subregions, one surrounding the sphere and containing the cavity and the other for the remaining half-space. The continuity conditions are applied to obtain the acoustic pressure. Then the acoustic radiation resistance is calculated both in the near- and far-field. The acoustic radiation reactance is calculated in the impedance approach. The resonance frequencies are determined, for which a significant growth of the sound pressure level is observed as well as the sound field directivity. The accuracy and convergence of these rigorous results has been examined empirically.
Źródło:
Archives of Acoustics; 2016, 41, 1; 75-86
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sound Radiation from a Surface Source Located at the Bottom of the Wedge Region
Autorzy:
Szemela, K.
Powiązania:
https://bibliotekanauki.pl/articles/176912.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
wedge region
sound pressure
sound power
Neumann boundary value problem
Helmholtz equation
vibrating piston
Hankel transform
Opis:
Applying rigorous analytical methods, formulas describing the sound radiation have been obtained for the wedge region bounded by two transverse baffles with a common edge and bottom. It has been assumed that the surface sound source is located at the bottom. The presented formulas can be used to calculate the sound pressure and power inside the wedge region. They are valid for any value of the wedge angle and represent a generalization of the formulas describing the sound radiation inside the two and three-wall corner region. Moreover, the presented formulas can be easily adapted for any case when more than one sound source is located at the bottom. To demonstrate their practical application, the distribution of the sound pressure modulus and the sound power have been analyzed in the case of a rectangular piston located at the wedge’s bottom. The influence of the transverse baffle on the sound power has been investigated. Based on the obtained formulas, the behaviour of acoustic fields inside a wedge can be predicted.
Źródło:
Archives of Acoustics; 2015, 40, 2; 223-234
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Shape differentiability of the Neumann problem of the Laplace equation in the half-space
Autorzy:
Amrouche, C.
Necasova, S.
Sokołowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/970287.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
shape optimization
Neumann problem
unbounded domain
material derivative
Opis:
We deal with the existence of the material derivative of the Laplace equation with the Neumann boundary condition in the half space. We consider two different perturbations of domains to get the existence of weak Gateaux material derivative and the existence of Fréchet material derivatives.
Źródło:
Control and Cybernetics; 2008, 37, 4; 747-769
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Recovering a part of potential by partial information on spectra of boundary problems
Autorzy:
Pivovarchik, V.
Powiązania:
https://bibliotekanauki.pl/articles/255115.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
sine-type function
Lagrange interpolation series
Dirichlet boundary value problem
Dirichlet-Neumann boundary value problem
Opis:
Under additional conditions uniqueness of the solution is proved for the following problem. Given 1) the spectrum of the Dirichlet problem for the Sturm-Liouville equation on [0, a] with real potential q(x) mem L2(0, a), 2) a certain part of the spectrum of the Dirichlet problem for the same equation on [a/3, a] and 3) the potential on [0, a/3]. The aim is to find the potential on [a/3 ,a].
Źródło:
Opuscula Mathematica; 2005, 25, 1; 131-137
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the existence for the Cauchy-Neumann problem for the Stokes system in the $L_p$-framework
Autorzy:
Mucha, Piotr
Zajączkowski, Wojciech
Powiązania:
https://bibliotekanauki.pl/articles/1205939.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Stokes system
Marcinkiewicz theorem
Cauchy-Neumann initial boundary value problem
the Fourier transform
existence of solutions
Opis:
The existence for the Cauchy-Neumann problem for the Stokes system in a bounded domain $Ω ⊂ ℝ^3$ is proved in a class such that the velocity belongs to $W^{2,1}_r (Ω × (0,T))$, where r > 3. The proof is divided into three steps. First, the existence of solutions is proved in a half-space for vanishing initial data by applying the Marcinkiewicz multiplier theorem. Next, we prove the existence of weak solutions in a bounded domain and then we regularize them. Finally, the problem with nonvanishing initial data is considered.
Źródło:
Studia Mathematica; 2000, 143, 1; 75-101
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On elliptic problems with a nonlinearity depending on the gradient
Autorzy:
Chabrowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/255879.pdf
Data publikacji:
2009
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Neumann problem
nonlinearity depending on the gradient
L1 data
Opis:
We investigate the solvability of the Neumann problem (1.1) involving the non-linearity depending on the gradient. We prove the existence of a solution when the right hand side ƒ of the equation belongs to Lm( Ω) with 1 ≤m <2.
Źródło:
Opuscula Mathematica; 2009, 29, 4; 377-391
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a singular nonlinear Neumann problem
Autorzy:
Chabrowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/255274.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Neumann problem
critical Sobolev exponent
Hardy-Sobolev exponent Neuman problem
Opis:
We investigate the solvability of the Neumann problem involving two critical exponents: Sobolev and Hardy-Sobolev. We establish the existence of a solution in three cases: (i) 2 < p+1 <2*s, (ii) p+1 = 2*(s) and (iii) 2*(s) < p+1 ≤ 2*, where [formula] denote the critical Hardy-Sobolev exponent and the critical Sobolev exponent, respectively.
Źródło:
Opuscula Mathematica; 2014, 34, 2; 271-290
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Neumann problem for one-dimensional nonlinear thermoelasticity
Autorzy:
Shibata, Yoshihiro
Powiązania:
https://bibliotekanauki.pl/articles/1361114.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
classical solutions
Neumann problem
global existence
one-dimensional nonlinear thermoelasticity
Opis:
The global existence theorem of classical solutions for one-dimensional nonlinear thermoelasticity is proved for small and smooth initial data in the case of a bounded reference configuration for a homogeneous medium, considering the Neumann type boundary conditions: traction free and insulated. Moreover, the asymptotic behaviour of solutions is investigated.
Źródło:
Banach Center Publications; 1992, 27, 2; 457-480
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Miasto w Lailonii. Uwagi scenarzysty
A City in Lailonia. Remarks from a screenwriter
Autorzy:
Zamojski, Jan
Powiązania:
https://bibliotekanauki.pl/articles/920132.pdf
Data publikacji:
2013-01-13
Wydawca:
Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:
A Beautiful Face
a city
A Tale about Children’s Toys
agora
Andrzej Heidrich
animated film
Anna Zaremba
Fourteen Tales from Kingdom of Lailonia by Leszek Kołakowski
Hieronim Neumann
How Gyom Became an Elderly Gentelman
How the Divine Maior Lost His Throne
How the Problem of Longevity Was Solved
Jacek Adamczak
Jacek Kasprzycki
Jerzy Szacki
Krzysztof Kiwerski
Leszek Kołakowski
Looking for Lailonia
Łukasz Słuszkiewicz
Maciej Michalski
Maciej Wojtyszko
Marek Luzar
Opis:
The article discusses the role of the city in Tales from the Kingdom of Lailonia by the philosopher Leszek Kołakowski, and in the animated film series Fourteen Tales from the Kingdom of Lailonia by Leszek Kołakowski, which is an adaptation of the book. The article is written from the point of view of the originator of the adaptation and the screenwriter of all the films in the series. The author examines the historical and ideological context of L. Kołakowski’s writing the Tales … and analyzes the role of the city understood as the setting of the plot (topos) and the venue for an exchange of ideas (agora) and for the community (polis); he does so on three levels: that of the literary original, the screenplay adaptation, and the film. He also examines the role of the city in those senses for the drama of the individual films, the philosophical and esthetic premises of the role, and – in these contexts – the relations between the selected films and their screenplays.
Źródło:
Images. The International Journal of European Film, Performing Arts and Audiovisual Communication; 2013, 12, 21; 43-63
1731-450X
Pojawia się w:
Images. The International Journal of European Film, Performing Arts and Audiovisual Communication
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:
Harmonic functions in a cylinder with normal derivatives vanishing on the boundary
Autorzy:
Miyamoto, Ikuko
Yoshida, Hidenobu
Powiązania:
https://bibliotekanauki.pl/articles/1207976.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
cylinder
Neumann problem
harmonic functions
Opis:
A harmonic function in a cylinder with the normal derivative vanishing on the boundary is expanded into an infinite sum of certain fundamental harmonic functions. The growth condition under which it is reduced to a finite sum of them is given.
Źródło:
Annales Polonici Mathematici; 2000, 74, 1; 229-235
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Constant-sign solutions for a nonlinear Neumann problem involving the discrete p-Laplacian
Autorzy:
Candito, P.
D'Agui, G.
Powiązania:
https://bibliotekanauki.pl/articles/255253.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
constant-sign solution
difference equations
Neumann problem
Opis:
In this paper, we investigate the existence of constant-sign solutions for a nonlinear Neumann boundary value problem involving the discrete p-Laplacian. Our approach is based on an abstract local minimum theorem and truncation techniques.
Źródło:
Opuscula Mathematica; 2014, 34, 4; 683-690
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 19

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