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Wyszukujesz frazę "równanie Volterra" wg kryterium: Temat

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    Wyświetlanie 1-8 z 8
    Tytuł:
    Stability of nonlinear Volterra equations
    Autorzy:
    Ngoc, P. H. A.
    Hieu, L. T.
    Powiązania:
    https://bibliotekanauki.pl/articles/201528.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    global exponential stability
    Volterra equations
    globalna stabilność wykładnicza
    równanie Volterra
    Opis:
    Using a novel approach, we present some new explicit criteria for global exponential stability of the zero solution of general nonlinear time-varying Volterra difference equations. Furthermore, an explicit stability bound for equations subject to nonlinear time-varying perturbations is given. Finally, the obtained results are used to study uniform attraction of equilibrium of discrete-time bidirectional associative memory (BAM) neural networks. Some illustrative examples are given.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 3; 333-340
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extinction, Weak Extinction and Persistence in a Discrete, Competitive Lotka-Volterra Model
    Autorzy:
    Chan, D. M.
    Franke, J. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/929723.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    równanie Lotka-Volterra
    matematyka
    extinction
    persistence
    weak extinction
    Lotka-Volterra model
    w-limit set
    Opis:
    In a discrete Lotka-Volterra model, the set of points where a population remains unchanged over one generation is a hyperplane. Examining the relative position of these hyperplanes, we give sufficient conditions for a groupof species to drive another species to extinction. Further using these hyperplanes, we find necessary and sufficient conditions where every w-limit point of the model has at least one species missing. Building on the workof Hofbauer et al. (1987) involving permanence, we obtain a sufficient condition for one or more species to persist. Additionally, in the presence of extinction occurring, we take these persistence results and the previously mentioned extinction results and extend them to subsystems of the full model. Finally, we combine the ideas of persistence and weak extinctionto obtain another extinction result.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 7-36
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dynamic stability and spatial heterogeneity in the individual-based modelling of a Lotka-Volterra gas
    Autorzy:
    Waniewski, J.
    Jędruch, W.
    Żołek, N. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/907374.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    równanie Lotka-Volterra
    entropia
    współczynnik korelacji
    predator-prey system
    entropy
    correlation coefficient
    Opis:
    Computer simulation of a few thousands of particles moving (approximately) according to the energy and momentum conservation laws on a tessellation of 800 x 800 squares in discrete time steps and interacting according to the predator-prey scheme is analyzed. The population dynamics are described by the basic Lotka-Volterra interactions (multiplication of preys, predation and multiplication of predators, death of predators), but the spatial effects result in differences between the system evolution and the mathematical description by the Lotka-Volterra equations. The spatial patterns were evaluated using entropy and a cross correlation coefficient for the spatial distribution of both populations. In some simulations the system oscillated with variable amplitude but rather stable period, but the particle distribution departed from the (quasi) homogeneous state and did not return to it. The distribution entropy oscillated in the same rhythm as the population, but its value was smaller than in the initial homogeneous state. The cross correlation coefficient oscillated between positive and negative values. Its average value depended on the space scale applied for its evaluation with the negative values on the small scale (separation of preys from predators) and the positive values on the large scale (aggregation of both populations). The stability of such oscillation patterns was based on a balance of the population parameters and particle mobility. The increased mobility (particle mixing) resulted in unstable oscillations with high amplitude, sustained homogeneity of the particle distribution, and final extinction of one or both populations.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 2; 139-147
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
    Autorzy:
    Shiri, B.
    Shahmorad, S.
    Hojjati, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/330726.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    piecewise continuous collocations methods
    Volterra integral equations
    integral algebraic equations
    równania całkowe Volterry
    równanie algebraiczne
    Opis:
    In this paper, we deal with a system of integral algebraic equations of the Hessenberg type. Using a new index definition, the existence and uniqueness of a solution to this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically, and the convergence properties of the perturbed piecewise continuous collocation methods are investigated to obtain the order of convergence for the given numerical methods. Finally, some numerical experiments are provided to support the theoretical results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 341-355
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An operational Haar wavelet method for solving fractional Volterra integral equations
    Autorzy:
    Saeedi, H.
    Mollahasani, N.
    Mohseni Moghadam, M.
    Chuev, G. N.
    Powiązania:
    https://bibliotekanauki.pl/articles/907499.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    równanie całkowe
    równanie całkowe Abela
    rachunek ułamkowy
    macierz operacyjna
    fractional Volterra integral equation
    Abel integral equation
    fractional calculus
    Haar wavelet method
    operational matrices
    Opis:
    A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 535-547
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Asymptotic behaviour to a heat equation with a delayed control in the source term
    Autorzy:
    Berrone, L.
    Mannucci, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/970434.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    niejednorodne równanie dyfuzji
    ewolucja rozkładu temperatury
    sterowanie z opóźnieniem
    równanie całkowe Volterry z opóźnieniem
    heat equation
    delayed control
    Volterra integral equation with delay
    Opis:
    A one dimensional heat equation in a semi-infinite medium controlled through a heat source depending on the delayed heat flux at the extremum is studied. By reducing the problem to a delayed Volterra integral equation with a weakly singular kernel, we find conditions on the initial datum and on the source term of the equation to control the asymptotic behaviour of the mean temperatures.
    Źródło:
    Control and Cybernetics; 2004, 33, 1; 5-32
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analytical and numerical study for a fractional boundary value problem with a conformable fractional derivative of Caputo and its fractional integral
    Autorzy:
    Bekkouche, M. Moumen
    Guebbai, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/1839786.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    fractional boundary value problem
    Volterra-Fredholm integral equation
    fractional derivative
    fractional integral
    równanie całkowe Volterry-Fredholma
    ułamkowa wartość brzegowa
    pochodna ułamkowa Caputo
    Opis:
    We study the existence and uniqueness of the solution of a fractional boundary value problem with conformable fractional derivation of the Caputo type, which increases the interest of this study. In order to study this problem we have introduced a new definition of fractional integral as an inverse of the conformable fractional derivative of Caputo, therefore, the proofs are based upon the reduction of the problem to a equivalent linear Volterra-Fredholm integral equations of the second kind, and we have built the minimum conditions to obtain the existence and uniqueness of this solution. The analytical study is followed by a complete numerical study.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 2; 31-42
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence and convergence results for Caputo fractional Volterra integro-differential equations
    Autorzy:
    Hamoud, A. A.
    Bani Issa, M. Sh.
    Ghadle, K. P.
    Abdulghani, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/2052432.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
    Tematy:
    homotopy analysis method
    Caputo fractional derivative
    Volterra integro-differential equation
    approximate solution
    homotopijna metoda analizy
    pochodna ułamkowa Caputo
    równanie różniczkowe Volterry
    rozwiązanie przybliżone
    Opis:
    In this article, homotopy analysis method is successfully applied to find the approximate solution of Caputo fractional Volterra integro-differential equation. The reliability of the method and reduction in the size of the computational work give this method a wider applicability. Also, the behavior of the solution can be formally determined by analytical approximate. Moreover, we proved the existence and convergence of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed technique.
    Źródło:
    Journal of Mathematics and Applications; 2018, 41; 109-121
    1733-6775
    2300-9926
    Pojawia się w:
    Journal of Mathematics and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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