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Wyszukujesz frazę "neutral difference equation" wg kryterium: Temat

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    Wyświetlanie 1-5 z 5
    Tytuł:
    Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations
    Autorzy:
    Migda, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/255688.pdf
    Data publikacji:
    2006
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    neutral difference equation
    asymptotic behavior
    nonoscillatory solution
    Opis:
    In this paper we study asymptotic behavior of solutions of a higher order neutral difference equation of the form Δm(xn + pnxn-τ) + f(n, xσ(n)) = hn. We present conditions under which all nonoscillatory solutions of the above equation have the property xn = cnm-1 + o(nm-1) for some c ∈ R.
    Źródło:
    Opuscula Mathematica; 2006, 26, 3; 507-514
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Oscillation criteria for even order neutral difference equations
    Autorzy:
    Selvarangam, S.
    Rupadevi, S. A.
    Thandapani, E.
    Pinelas, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/255009.pdf
    Data publikacji:
    2019
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    even order
    neutral difference equation oscillation
    asymptotic behavior
    mixed type
    Opis:
    In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form [formula] where m ≥ 2 is an even integer, using arithmetic-geometric mean inequality. Examples are provided to illustrate the main results.
    Źródło:
    Opuscula Mathematica; 2019, 39, 1; 91-108
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence criteria for positive solutions of a nonlinear difference inequality
    Autorzy:
    Cheng, Sui
    Zhang, Guang
    Powiązania:
    https://bibliotekanauki.pl/articles/1208008.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Sturm type comparison theorem
    limit comparison theorem
    nth order linear difference equation
    eventually positive solution
    eventually positive nonincreasing solution
    neutral difference equation
    nonlinear delay difference inequality
    Opis:
    This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.
    Źródło:
    Annales Polonici Mathematici; 2000, 73, 3; 197-220
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Oscillatory properties of solutions of the fourth order difference equations with quasidifferences
    Autorzy:
    Jankowski, R.
    Schmeidel, E.
    Zonenberg, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/255677.pdf
    Data publikacji:
    2014
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    fourth-order difference equation
    neutral type
    quickly oscillatory solutions
    almost oscillatory
    Opis:
    A class of fourth-order neutral type difference equations with quasidifferences and deviating arguments is considered. Our approach is based on studying the considered equation as a system of a four-dimensional difference system. The sufficient conditions under which the considered equation has no quickly oscillatory solutions are given. Finally, the sufficient conditions under which the equation is almost oscillatory are presented.
    Źródło:
    Opuscula Mathematica; 2014, 34, 4; 789-797
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Critical cases in neutral functional differential equations, arising from hydraulic engineering
    Autorzy:
    Răsvan, Vladimir
    Powiązania:
    https://bibliotekanauki.pl/articles/2216162.pdf
    Data publikacji:
    2022
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    1D hyperbolic partial differential equations
    neutral functional differential equation
    difference operator
    critical case
    differential equations
    Opis:
    This paper starts from several applications described by initial/boundary value problems for 1D (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same properties for certain associated neutral functional differential equations. It is a common fact that asymptotic stability for neutral functional differential equations is normally obtained under the assumption of asymptotic stability of the difference operator associated to the aforementioned neutral functional differential equations. However the physically meaningful applications presented in the paper have the associated difference operator(s) in critical cases (their stability is, generally speaking, non-asymptotic). Consequently the stability of the considered application models is either non-asymptotic or fragile (in a sense introduced in the paper). The models represent an overview gathered from various fields, processed here in order to emphasize the associated neutral functional differential equations which, consequently, are a challenge to the usual approaches. In the concluding part there are suggested possible ways to overcome these difficulties.
    Źródło:
    Opuscula Mathematica; 2022, 42, 4; 605-633
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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