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Wyszukujesz frazę "neutral equation" wg kryterium: Temat

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    Wyświetlanie 1-20 z 20
    Tytuł:
    Some notes on one oscillatory condition of neutral differential equations
    Autorzy:
    Mihalíková, Božena
    Chomová, Eva
    Powiązania:
    https://bibliotekanauki.pl/articles/729600.pdf
    Data publikacji:
    2006
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    neutral equation
    oscillatory solution
    Opis:
    The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equations of the form
    (r(t)(x(t) - px(t-τ))')' - q(t)f(x(σ(t))) = 0
    to be oscillatory and to compare some existing results.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2006, 26, 1; 103-112
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Oscillatory behaviour of solutions of forced neutral differential equations
    Autorzy:
    Parhi, N.
    Mohanty, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1310794.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    neutral equation
    oscillation
    asymptotic behaviour
    forced equation
    Opis:
    Sufficient conditions are obtained for oscillation of all solutions of a class of forced nth order linear and nonlinear neutral delay differential equations. Also, asymptotic behaviour of nonoscillatory solutions of a class of forced first order neutral equations is studied.
    Źródło:
    Annales Polonici Mathematici; 1996-1997, 65, 1; 1-10
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability by Krasnoselskiis theorem in totally nonlinear neutral differential equations
    Autorzy:
    Derrardjia, I.
    Ardjouni, A.
    Djoudi, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1397510.pdf
    Data publikacji:
    2013
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    fixed point
    stability
    nonlinear neutral equation
    Krasnoselskii-Burton theorem
    Opis:
    In this paper we use fixed point methods to prove asymptotic stability results of the zero solution of a class of totally nonlinear neutral differential equations with functional delay. The study concerns $x^\prime (t)= -a(t)x^3(t) + c(t)x^\prime (t-r(t)) + b(t) x^3 (t-r(t)) $. The equation has proved very challenging in the theory of Liapunov’s direct method. The stability results are obtained by means of Krasnoselskii-Burton’s theorem and they improve on the work of T.A. Burton (see Theorem 4 in [Liapunov functionals, fixed points, and stability by Krasnoselskii’s theorem, Nonlinear Studies 9 (2001), 181–190]) in which he takes c=0 in the above equation
    Źródło:
    Opuscula Mathematica; 2013, 33, 2; 255-272
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence of periodic solutions for totally nonlinear neutral differential equations with functional delay
    Autorzy:
    Yankson, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/254907.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    fixed point
    large contraction
    periodic solution
    totally nonlinear neutral equation
    Źródło:
    Opuscula Mathematica; 2012, 32, 3; 617-627
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Oscillatory and nonoscillatory solutions of neutral differential equations
    Autorzy:
    Tanaka, Satoshi
    Powiązania:
    https://bibliotekanauki.pl/articles/1208025.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    nonoscillatory solution
    neutral differential equation
    oscillatory solution
    Opis:
    Neutral differential equations are studied. Sufficient conditions are obtained to have oscillatory solutions or nonoscillatory solutions. For the existence of solutions, the Schauder-Tikhonov fixed point theorem is used.
    Źródło:
    Annales Polonici Mathematici; 2000, 73, 2; 169-184
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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:
    Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term
    Autorzy:
    Graef, John R.
    Grace, Said R.
    Tunc, Ercan
    Powiązania:
    https://bibliotekanauki.pl/articles/952818.pdf
    Data publikacji:
    2019
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    oscillatory behavior
    neutral differential equation even-order
    Opis:
    The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities as well as with first-order linear delay differential equations whose oscillatory characters are known. Examples are provided to illustrate the theorems.
    Źródło:
    Opuscula Mathematica; 2019, 39, 1; 39-47
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Oscillatory criteria for second order differential equations with several sublinear neutral terms
    Autorzy:
    Baculikova, Blanka
    Powiązania:
    https://bibliotekanauki.pl/articles/255891.pdf
    Data publikacji:
    2019
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    second order neutral differential equation
    sub-linear neutral term
    oscillation
    Opis:
    In this paper, sufficient conditions for oscillation of the second order differential equations with several sublinear neutral terms are established. The results obtained generalize and extend those reported in the literature. Several examples are included to illustrate the importance and novelty of the presented results.
    Źródło:
    Opuscula Mathematica; 2019, 39, 6; 753-763
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Oscillatory behavior of second-order damped differential equations with a superlinear neutral term
    Autorzy:
    Tunc, Ercan
    Ozdemir, Osman
    Powiązania:
    https://bibliotekanauki.pl/articles/255321.pdf
    Data publikacji:
    2020
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    oscillation
    second-order
    neutral differential equation
    damping term
    Opis:
    . This article concerns the oscillatory behavior of solutions to second-order damped nonlinear differential equations with a superlinear neutral term. The results are obtained by a Riccati type transformation as well as by an integral criterion. Examples illustrating the results are provided and some suggestions for further research are indicated.
    Źródło:
    Opuscula Mathematica; 2020, 40, 5; 629-639
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fixed points and stability in neutral nonlinear differential equations with variable delays
    Autorzy:
    Ardjouni, A.
    Djoudi, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/255378.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    fixed points
    stability
    nonlinear neutral differential equation
    integral equation
    variable delays
    Opis:
    By means of Krasnoselskii's fixed point theorem we obtain boundedness and stability results of a neutral nonlinear differential equation with variable delays. A stability theorem with a necessary and sufficient condition is given. The results obtained here extend and improve the work of C.H. Jin and J.W. Luo [Nonlinear Anal. 68 (2008), 3307-3315], and also those of T.A. Burton [Fixed Point Theory 4 (2003), 15-32; Dynam. Systems Appl. 11 (2002), 499-519] and B. Zhang [Nonlinear Anal. 63 (2005), e233-e242]. In the end we provide an example to illustrate our claim.
    Źródło:
    Opuscula Mathematica; 2012, 32, 1; 5-19
    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:
    Asymptotic stability of a neutral integro-differential equation
    Autorzy:
    Wang, G.
    Cheng, S. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/255680.pdf
    Data publikacji:
    2006
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    asymptotic behavior
    nonlinear neutral integro-differential equation
    Opis:
    The global stability behavior of a non-autonomous neutral functional integro-differential equation is studied. A sufficient condition for every solution of this equation to tend to zero is given.
    Źródło:
    Opuscula Mathematica; 2006, 26, 3; 515-527
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations
    Autorzy:
    Li, Wantong
    Powiązania:
    https://bibliotekanauki.pl/articles/1310726.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    oscillation
    neutral nonlinear differential equation
    asymptotic behavior
    Opis:
    A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.
    Źródło:
    Annales Polonici Mathematici; 1996-1997, 65, 3; 283-302
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Lossless transmission lines terminated by crystal oscillator circuit
    Autorzy:
    Angelov, Vasil G.
    Powiązania:
    https://bibliotekanauki.pl/articles/1065397.pdf
    Data publikacji:
    2019
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Fixed point theorem
    Kirchhoff’s law
    Lossless transmission line
    Mixed problem for hyperbolic system
    Neutral equation
    Periodic solution
    Opis:
    The present paper deals with ТЕМ propagation of waves along lossless transmission lines terminated by a crystal oscillator circuit. The crystal oscillator circuit generates nonlinear boundary conditions derived by the Kirchhoff’s law. Then the mixed problem for the hyperbolic transmission line system to an initial value problem for neutral system on the boundary is reduced. The main purpose of the present paper is to show an existence-uniqueness of a periodic solution of the neutral system. This is achieved by introducing a suitable operator acting on a space of periodic functions. Its fixed point is a periodic solution of the neutral system. The advantages of the presented method on numerical example are demonstrated. The solution can be obtained by successive approximations.
    Źródło:
    World Scientific News; 2019, 132; 65-83
    2392-2192
    Pojawia się w:
    World Scientific News
    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
    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:
    On the exponential stability of a neutral differential equation of first order
    Autorzy:
    Gözen, M.
    Tunç, C.
    Powiązania:
    https://bibliotekanauki.pl/articles/357744.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
    Tematy:
    GES
    global exponential stability
    NDE
    neutral differential equation
    time-varying delays
    globalna stabilność wykładnicza
    równanie różniczkowe neutralne
    opóźnienia zmienne w czasie
    Opis:
    In this work, we establish some assumptions that guaranteeing the global exponential stability (GES) of the zero solution of a neutral differential equation (NDE). We aim to extend and improves some results found in the literature.
    Źródło:
    Journal of Mathematics and Applications; 2018, 41; 95-107
    1733-6775
    2300-9926
    Pojawia się w:
    Journal of Mathematics and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Nonlinear Fractional Neutral Differential Equation with the ψ-Caputo Fractional Derivative
    Autorzy:
    Nabil, Tamer
    Powiązania:
    https://bibliotekanauki.pl/articles/1818657.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
    Tematy:
    Krasnoselskii's fixed point theory
    ψ − Caputo operator
    neutral differential equation
    ulam stability
    existence of solution
    teoria punktu stałego Krasnoselskiego
    operator Caputa
    równanie różniczkowe
    stabilność Ulama
    Opis:
    In this article, the solvability of fractional neutral differential equation involving ψ−Caputo fractional operator is considered usinga Krasnoselskii’s fixed point approach. Also, we establish the uniquenessof the solution under certain conditions. Ulam stabilities for the proposedproblem are discussed. Finally, examples are displayed to aid the applicability of the theory results.
    Źródło:
    Journal of Mathematics and Applications; 2020, 43; 99--112
    1733-6775
    2300-9926
    Pojawia się w:
    Journal of Mathematics and Applications
    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:
    Measure of noncompactness and neutral functional differential equations with state-dependent delay
    Autorzy:
    Benchohra, M.
    Henderson, J.
    Medjadj, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/357717.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
    Tematy:
    neutral functional differential equation
    mild solution
    infinite delay
    state-dependent delay
    fixed point
    semigroup theory
    cosine function
    measure of noncompactness
    równanie różniczkowe
    zagadnienie Cauchy'ego
    opóźnienia nieskończone
    punkt stały
    teoria półgrup
    funkcja cosinus
    miara niezwartości
    Opis:
    Our aim in this work is to study the existence of solutions of first and second order for neutral functional differential equations with state-dependent delay. We use the Mönch’s fixed point theorem for the existence of solutions and the concept of measures of noncompactness.
    Źródło:
    Journal of Mathematics and Applications; 2016, 39; 23-45
    1733-6775
    2300-9926
    Pojawia się w:
    Journal of Mathematics and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-20 z 20

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