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Wyszukujesz frazę "Volterra operator" wg kryterium: Temat

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    Wyświetlanie 1-4 z 4
    Tytuł:
    On a mixed-type integral equation and fractional-order functional differential equations
    Autorzy:
    El-Sayed, A. M. A.
    Sherif, Nagwa
    Ibrahim, I. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/745693.pdf
    Data publikacji:
    2005
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Nonlinear functional integral equation
    fractional calculus
    Volterra operator
    mixed type integral equation
    Schauder fixed point theorem
    Opis:
    In this paper we study the existence of solution of a nonlinear integral equation of (mixed type) Volterra-Fredholm type. As an application we prove the existence of solution of an initial value problem of fractional order in the space of Lebesgue integrable functions on the interval \([0, 1]\).
    Źródło:
    Commentationes Mathematicae; 2005, 45, 2
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Understanding of Meyer and Stephens’s operator o as a multi-operational one
    Autorzy:
    Borys, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/226031.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    operators and operations
    operator o
    Volterra series
    weakly nonlinear circuits
    modelling harmonic and intermodulation distortion
    Opis:
    In this paper, the idea of an extended operator o introduced in the literature on modelling weakly nonlinear circuits by Meyer and Stephens is revisited. The mathematically precise definitions of this operator for the successive Volterra series terms are given. Furthermore, the exhaustive formal and illustrative descriptions of these definitions are also presented. Finally, the possibility of a reverse formulation for the convolution operations occurring in descriptions of weakly nonlinear circuits is reported.
    Źródło:
    International Journal of Electronics and Telecommunications; 2016, 62, 3; 273-277
    2300-1933
    Pojawia się w:
    International Journal of Electronics and Telecommunications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Operator o and analysis of harmonic distortion
    Autorzy:
    Borys, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/226398.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    operator o
    descriptions of mildly nonlinear circuits in the frequency-domain
    nonlinear distortion
    Volterra series
    Opis:
    It has been shown that the description of mildly nonlinear circuits with the use of an operator o introduced by Meyer and Stephens in their paper published more than forty years ago was flawed. The problem now with their incorrect and imprecise definition is that it is still replicated in one or another form, as, for example, in publications of Palumbo and Pennisi on harmonic distortion calculation in integrated CMOS amplifiers or an article of Shrimali and Chatterjee on nonlinear distortion analysis of a three-terminal MOS-based parametric amplifier. Here, we discuss the versions of o operator presented in the works mentioned above and show points, where mistakes were committed. Also, we derive the correct forms of nonlinear circuit descriptions that should be used.
    Źródło:
    International Journal of Electronics and Telecommunications; 2016, 62, 3; 261-265
    2300-1933
    Pojawia się w:
    International Journal of Electronics and Telecommunications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Definition of Operator o for Weakly Nonlinear Circuits
    Autorzy:
    Borys, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/227168.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    operator o
    descriptions of mildly nonlinear circuits in the frequency-domain
    nonlinear distortion
    Volterra series
    Opis:
    For the first time, operator o appeared in the literature on weakly nonlinear circuits in a Narayanan’s paper on modelling transistor nonlinear distortion with the use of Volterra series. Its definition was restricted only to the linear part of a nonlinear circuit description. Obviously, as we show here, Narayanan’s operator o had meaning of a linear convolution integral. The extended version of this operator, which was applied to the whole nonlinear circuit representation by the Volterra series, was introduced by Meyer and Stephens in their paper on modelling nonlinear distortion in variable-capacitance diodes. We show here that its definition as well as another definition communicated to the author of this paper are faulty. We draw here attention to these facts because the faults made by Meyer and Stephens were afterwards replicated in publications of Palumbo and his coworkers on harmonic distortion calculation in integrated CMOS amplifiers, and recently in a paper about distortion analysis of parametric amplifier by H. Shrimali and S. Chatterjee. These faults are also present in some class notes for students, which are available on WWW-pages.
    Źródło:
    International Journal of Electronics and Telecommunications; 2016, 62, 3; 253-259
    2300-1933
    Pojawia się w:
    International Journal of Electronics and Telecommunications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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