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    Wyświetlanie 1-11 z 11
    Tytuł:
    Convolution equations in the space of Laplace distributions
    Autorzy:
    Pliś, Maria
    Powiązania:
    https://bibliotekanauki.pl/articles/1294292.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Laplace distributions
    Laplace transforms
    convolution equations
    Opis:
    A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.
    Źródło:
    Annales Polonici Mathematici; 1998, 69, 3; 271-281
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Poincaré theorem and nonlinear PDEs
    Autorzy:
    Pliś, Maria
    Powiązania:
    https://bibliotekanauki.pl/articles/1294309.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Laplace distributions
    Laplace transforms
    formal solutions
    Opis:
    A family of formal solutions of some type of nonlinear partial differential equations is found. Terms of such solutions are Laplace transforms of some Laplace distributions. The series of these distributions are locally finite.
    Źródło:
    Annales Polonici Mathematici; 1998, 69, 2; 99-105
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of fundamental solutions to fractional diffusion-wave equation in polar coordinates
    Autorzy:
    Povstenko, Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/121886.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
    Tematy:
    równanie ułamkowe
    problem Cauchy'ego
    transformaty Laplace'a
    transformata Hankela
    fractional equations
    Cauchy problem
    Laplace transforms
    Hankel and Laplace transforms
    Opis:
    The diffusion-wave equation is a mathematical model of a wide range of important physical phenomena. The first and second Cauchy problems and the source problem for the diffusion-wave equation are considered in cylindrical coordinates. The Caputo fractional derivative is used. The Laplace and Hankel transforms are employed. The results are illustrated graphically.
    Źródło:
    Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2009, 14; 97-104
    2450-9302
    Pojawia się w:
    Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some practical applications of generating functions and LSTS
    Autorzy:
    Ziółkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/122043.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
    Tematy:
    matematyka stosowana
    teoria kolejkowania
    transformata Laplace'a-Stieltjesa
    transformaty Laplace'a
    applied mathematics
    queuing theory
    Laplace transforms
    Opis:
    In many various practical problems we often deal with computing distribution functions of sums of independent non-negative random variables. In applied mathematics (ex. queueing theory) we can find many formulas with Stieltjes convolutions of distribution functions of random variables of the same type. Finding convolutions on the base of definition is not easy and convenient, because there are some technical problems connected with computations. There are some interesting ways to obtain such distribution functions applying other methods. In this paper we present methods connected with applications of generating functions and Laplace-Stieltjes transforms.
    Źródło:
    Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2012, 17; 97-110
    2450-9302
    Pojawia się w:
    Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Response due to mechanical source in second axisymmetric problem of micropolar elastic medium
    Autorzy:
    Singh, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/955263.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    transformata Laplace'a
    siła skupiona
    sprężystość
    eigenvalue
    micropolar elastic medium
    Laplace transforms
    Hankel transforms
    concentrated force
    microrotation
    Rhomberg’s integration
    Opis:
    The second axisymmetric problem in a micropolar elastic medium has been investigated by employing an eigen value approach after applying the Laplace and the Hankel transforms. An example of infinite space with concentrated force at the origin has been presented to illustrate the application of the approach. The integral transforms have been inversed by using a numerical technique to obtain the components of microrotation, displacement, force stress and couple stress in the physical domain. The results for these quantities are given and illustratred graphically.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2013, 18, 4; 1249-1261
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Natural frequency and critical velocities of heated inclined pinned PP-R pipe conveying fluid
    Autorzy:
    Mohmmed, J. H.
    Tawfik, M. A.
    Atiyah, Q. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1818780.pdf
    Data publikacji:
    2021
    Wydawca:
    Stowarzyszenie Komputerowej Nauki o Materiałach i Inżynierii Powierzchni w Gliwicach
    Tematy:
    finite Fourier sine transforms
    Laplace transforms
    natural frequency
    inclined pipe conveying fluid
    transformacja Fouriera
    transformacja Laplace'a
    częstotliwości drgań własnych
    Opis:
    Purpose: The flow velocity and pressure of fluid flowing through a pipeline can cause the vibration of pipes, and consequently result in the modification in natural frequency via fluid-structure interaction. The value of the natural frequency of a component when approaches the excitation force to a certain degree, a severe resonance failure may occur. Hence, avoiding the resonance failure of a pipe subjected to complex conditions is an essential issue that requires to be solved urgently in the engineering field. This work treats the transverse vibration for flexible inclined heated pipe, made of polypropylene randomcopolymer (PP-R), conveying fluid assuming pinned connections at the ends. The pipe was placed at different support angles and subjected to variant temperatures. Design/methodology/approach: The inclined pipe is modelled as Euler-Bernoulli beam taking into account its self-weight, temperature variation, inclination angle, aspect ratio, and internal fluid velocity. The integral transforms method, which includes the finite Fourier sine and the Laplace transforms, was used to develop an analytic solution to the modified equation of motion and the analytical expressions for dual natural frequencies of the pipefluid interaction system were computed. Findings: The proposed solution technique via finite Fourier sine and Laplace transforms offers a more convenient alternative to calculate the dynamic characteristic of pipes conveying fluid. The obtained results showed that the dynamical behaviour of pipe–fluid system is strongly affected by fluid flow velocity, degree of inclination, temperature variation, and aspect ratio of the pipe in transverse modes. Research limitations/implications: This work focuses on fundamental (first) mode in the most discussions. Practical implications: It was revealed that the thermal effects in the pipe are a very important factor and more significant in comparison with the internal fluid velocity and the inclination angle has a larger impact on vibration characteristics at a higher aspect ratio. The findings can be useful for the design of engineering components. Originality/value: Determining the combining effect of inclination angle, aspect ratio, and thermal loading on vibration characteristic of the pipes conveying fluid by using an improved analytic solution to the modified equation of motion via mixed of finite Fourier sine and Laplace transforms.
    Źródło:
    Journal of Achievements in Materials and Manufacturing Engineering; 2021, 107, 1; 15--27
    1734-8412
    Pojawia się w:
    Journal of Achievements in Materials and Manufacturing Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Are infinite dimensional models applicable in modelling and analysis of cancer chemotherapy?
    Autorzy:
    Świerniak, A.
    Kimmel, M.
    Śmieja, J.
    Rzeszowska-Wolny, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/333061.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Śląski. Wydział Informatyki i Nauki o Materiałach. Instytut Informatyki. Zakład Systemów Komputerowych
    Tematy:
    odporność na leki
    nieskończenie wymiarowy system
    przekształcenia Laplace'a
    drug resistance
    branching random walk
    infinite-dimensional systems
    Laplace transforms
    Opis:
    Drug resistance and phase dependence have been regarded by many authors as the main obstacles against successful cancer chemotherapy. We propose a model which takes into account both these phenomena and give a tool to use phase specificity as an advantage rather than a fault and make it resistant of drug resistance. It combines models that so far have been studied separately, taking into account both the phenomenon of gene amplification and drug specificity in chemotherapy, in their different aspects. The mathematical description is given by an infinite dimensional state equation with a system matrix, the form of which enables decomposition of the model into two interacting subsystems. While the first one, of finite dimension, can have any form, the second one is infinite dimensional and tridiagonal.
    Źródło:
    Journal of Medical Informatics & Technologies; 2004, 8; MM3-10
    1642-6037
    Pojawia się w:
    Journal of Medical Informatics & Technologies
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    MHD flow past a parabolic flow past an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction
    Autorzy:
    Muthucumaraswamy, R.
    Sivakumar, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/265859.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    MHD
    płyta pionowa
    promieniowanie cieplne
    metoda transformacji Laplace'a
    isothermal
    radiation
    vertical plate
    thermal radiation
    chemical reaction
    Laplace transforms technique
    Opis:
    The problem of MHD free convection flow with a parabolic starting motion of an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction has been examined in detail in this paper. The fluid considered here is a gray, absorbing emitting radiation but a non-scattering medium. The dimensionless governing coupled linear partial differential equations are solved using the Laplace transform technique. A parametric study is performed to illustrate the influence of the radiation parameter, magnetic parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time on the velocity, temperature, concentration. The results are discussed graphically and qualitatively. The numerical results reveal that the radiation induces a rise in both the velocity and temperature, and a decrease in the concentration. The model finds applications in solar energy collection systems, geophysics and astrophysics, aerospace and also in the design of high temperature chemical process systems.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2016, 21, 1; 95-105
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On axisymmetrical boundary problem of unsteady motion of micropolar fluid in the half-space
    Autorzy:
    El-Sirafy, I. H.
    Aboutahoun, A. W.
    Powiązania:
    https://bibliotekanauki.pl/articles/200251.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    micropolar fluid
    axisymmetrical motion
    Laplace-Hankel transforms
    problem brzegowy
    płyn mikropolarny
    transformacja Laplace'a
    transformacja Hankela i Laplace'a
    warunek brzegowy Hankela
    Opis:
    The aim of this paper is developing an exact solution for the problem of axisymmetrical flow of unsteady motion of micropolar fluid in the half-space when the shear stresses are given on the boundary. The Laplace-Hankel transform technique is used to solve this problem. Some physical quantities such as velocities, pressure and microrotations are obtained and illustrated numerically.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 1; 51-62
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Axisymmetric vibration for micropolar porous thermoelastic circular plate
    Autorzy:
    Kumar, R.
    Kaushal, P.
    Sharma, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/266270.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    micropolar porous thermoelasticity
    eigen value
    Laplace and Hankel transforms
    thermomechanical sources
    porowatość termoelastyczna
    transformata Laplace'a
    transformata Hankela
    Opis:
    The present investigation is concerned with a two dimensional axisymmetric problem in a homogeneous isotropic micropolar porous thermoelastic circular plate by using the eigen value approach. The Laplace and Hankel transform are used to solve the problem. The expression of displacements, microrotation, volume fraction field, temperature distribution and stresses are obtained in the transformed domain subjected to thermomechanical sources. A computer algorithm is developed for numerical computations. To obtain the resulting quantities in a physical domain, a numerical inversion technique is used. The resulting quantities are depicted graphically for a specific model. Some special cases are also deduced.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2017, 22, 3; 583-600
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Beurlings theorems and inversion formulas for certain index transforms
    Autorzy:
    Yakubovich, S. B.
    Powiązania:
    https://bibliotekanauki.pl/articles/255306.pdf
    Data publikacji:
    2009
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Beurling theorem
    Kontorovich-Lebedev transform
    Lebedev-Skalskaya transforms
    Fourier transform
    Laplace transform
    modified Bessel functions
    uncertainty principle
    Nicholson function
    Opis:
    The familiar Beurling theorem (an uncertainty principle), which is known for the Fourier transform pairs, has recently been proved by the author for the Kontorovich-Lebedev transform. In this paper analogs of the Beurling theorem are established for certain index transforms with respect to a parameter of the modified Bessel functions. In particular, we treat the generalized Lebedev-Skalskaya transforms, the Lebedev type transforms involving products of the Alacdoriald functions of different arguments and an index transform with the Nicholson kernel function. We also find inversion formulas for the Lebedev-Skalskaya operators of an arbitrary index and the Nicholson kernel transform.
    Źródło:
    Opuscula Mathematica; 2009, 29, 1; 93-110
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-11 z 11

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