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    Wyświetlanie 1-7 z 7
    Tytuł:
    Sufficient conditions for oscillation and nonoscillation of the solutions of operator-differential equations with piecewise constant argument
    Autorzy:
    Bainov, D.
    Dimitrova, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1340196.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    piecewise constant argument
    operator-differential equations
    oscillation and nonoscillation
    Opis:
    Effective sufficient conditions for oscillation and nonoscillation of solutions of some operator-differential equations with piecewise constant argument are found.
    Źródło:
    Applicationes Mathematicae; 1995-1996, 23, 4; 371-378
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    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:
    Growth of solutions of a class of linear fractional differential equations with polynomial coefficients
    Autorzy:
    Hamouda, Saada
    Mahmoudi, Sofiane
    Powiązania:
    https://bibliotekanauki.pl/articles/2216191.pdf
    Data publikacji:
    2022
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    linear fractional differential equations
    growth of solutions
    Caputo fractional derivative operator
    Opis:
    This paper is devoted to the study of the growth of solutions of certain class of linear fractional differential equations with polynomial coefficients involving the Caputo fractional derivatives by using the generalized Wiman–Valiron theorem in the fractional calculus.
    Źródło:
    Opuscula Mathematica; 2022, 42, 3; 415-426
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The study of Delsarte-Lions type binary transformations, their differential-geometric and operator structure with applications. Pt. 2
    Autorzy:
    Prykarpatsky, Y. A.
    Samoilenko, A. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/255528.pdf
    Data publikacji:
    2007
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Delsarte transmutation operators
    generalized de Rham-Hodge differential complex
    Delsarte-Lions type transformations
    Gelfand-Levitan-Marchenko type integral equations
    multidimensional differential operator pencils
    Opis:
    The Gelfand-Levitan integral equations for Delsarte-Lions type transformations in multidimension are studied. The corresponding spectral and analytical properties of Delsarte-Lions transformed operators are analyzed by means of the differential-geometric and topological tools. An approach for constructing Delsarte-Lions type transmutation operators for multidimensional differential expressions is devised.
    Źródło:
    Opuscula Mathematica; 2007, 27, 1; 113-130
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    General remarks on dynamic projection method
    Autorzy:
    Leble, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1938597.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Gdańska
    Tematy:
    partial differential equations
    dynamical system
    Cauchy problem
    diffusion equation
    projection operator
    idempotent operators
    eigen mode
    mode interaction
    boundary regime propagation
    Opis:
    A brief history and a mathematical description of the dynamic projection operators technique is presented. An example of the general Cauchy problem for evolution equations in 1+ 1 dimensions is studied in detail. A boundary regime propagation is formulated in terms of operators and illustrated by the simplest one-dimensional diffusion equation. The problem of temperature waves is discussed.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 2; 113-130
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Eigenvalue-eigenfunction problem for Steklovs smoothing operator and differential-difference equations of mixed type
    Autorzy:
    Iakovlev, S. I.
    Iakovleva, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/254795.pdf
    Data publikacji:
    2013
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Steklov's smoothing operator
    spectrum
    eigenvalues
    eigenfunctions
    mixed-type differential-difference equations
    initial function
    method of steps
    countably normed space
    transformation group
    generator
    Opis:
    It is shown that any μ ∈ C is an infinite multiplicity eigenvalue of the Steklov smoothing operator Sh acting on the space [formula]. For μ ≠ 0 the eigenvalue-eigenfunction problem leads to studying a differential-difference equation of mixed type. An existence and uniqueness theorem is proved for this equation. Further a transformation group is defined on a countably normed space of initial functions and the spectrum of the generator of this group is studied. Some possible generalizations are pointed out.
    Źródło:
    Opuscula Mathematica; 2013, 33, 1; 81-98
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Well-Posed Linear Systems - a Survey With Emphasis on Conservative Systems
    Autorzy:
    Weiss, G.
    Staffans, O. J.
    Tucsnak, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/908320.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system liniowy
    układ zachowawczy
    równanie różniczkowe
    well-posed linear systems
    regular linear system
    operator semigroup
    consevative system
    scattering theory
    time-flow-inversion
    differential equations in Hilbert space
    beam equation
    Opis:
    We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 7-33
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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