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Wyszukujesz frazę "difference functional equations" wg kryterium: Temat

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    Wyświetlanie 1-6 z 6
    Tytuł:
    The numerical solution of functional differential equations, a survey
    Autorzy:
    Jackiewicz, Z.
    Kwapisz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/748493.pdf
    Data publikacji:
    1991
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Difference and functional equations, recurrence relations
    Neutral equations
    Opis:
    .
    Significant progress has been made in the last few years in the numerical solution of functional differential equations. It is the purpose of this paper to review the results in this area. Special attention is given to implementation of one-step methods and predictor corrector methods for functional differential equations including equations of neutral type and to the stability theory of numerical methods for these equations.
    Źródło:
    Mathematica Applicanda; 1991, 19, 33
    1730-2668
    2299-4009
    Pojawia się w:
    Mathematica Applicanda
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Implicit difference methods for infinite systems of hyperbolic functional differential equations
    Autorzy:
    Szafrańska, Anna
    Powiązania:
    https://bibliotekanauki.pl/articles/745990.pdf
    Data publikacji:
    2010
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    initial boundary value problems
    difference functional equations
    difference methods
    stability and convergence
    interpolating operators
    nonlinear estimates of the Perron type
    Opis:
    The paper deal with classical solutions of initial boundary value problems for infinite systems of nonlinear differential functional equations. Two types of difference schemes are constructed. First we show that solutions of our differential problem can be approximated by solutions of infinite difference functional schemes. In the second part of the paper we proof that solutions of finite difference systems approximate the solutions of aur differential problem. We give a complete convergence analysis for both types of difference methods. We adopt nonlinear estimates of the Perron type for given functions with respect to the functional variable. The proof of the stability is based on the comparison technique. Numerical examples are presented.
    Źródło:
    Commentationes Mathematicae; 2010, 50, 1
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimates of solutions for parabolic differential and difference functional equations and applications
    Autorzy:
    Sapa, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/254895.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    parabolic differential and discrete functional equations
    estimate of solution
    implicit difference method
    Opis:
    The theorems on the estimates of solutions for nonlinear second-order partial differential functional equations of parabolic type with Dirichlet's condition and for suitable implicit finite difference functional schemes are proved. The proofs are based on the comparison technique. The convergent and stable difference method is considered without the assumption of the global generalized Perron condition posed on the functional variable but with the local one only. It is a consequence of our estimates theorems. In particular, these results cover quasi-linear equations. However, such equations are also treated separately. The functional dependence is of the Volterra type.
    Źródło:
    Opuscula Mathematica; 2012, 32, 3; 529-549
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Difference methods for infinite systems of hyperbolic functional differential equations on the Haar pyramid
    Autorzy:
    Jaruszewska-Walczak, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/2050179.pdf
    Data publikacji:
    2004
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    initial problems
    infinite systems of differential functional equations
    difference functional inequalities
    nonlinear estimates of Perron type
    Opis:
    We consider the Cauchy problem for infinite system of differential functional equations $\partial_{t}z_{k}(t, x) = f_{k}(t, x, z, \partial_{x}z_{k}(t, x)), k \in \mathbf{N}$. In the paper we consider a general class of difference methods for this problem. We prove the convergence of methods under the assumptions that given functions satisfy the nonlinear estimates of the Perron type with respect to functional variables. The proof is based on functional difference inequalities. We constructed the Euler method as an example of difference method.
    Źródło:
    Opuscula Mathematica; 2004, 24, 1; 85-96
    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
    Tytuł:
    A finite difference method for quasi-linear and nonlinear differential functional parabolic equations with Neumann’s condition
    Autorzy:
    Sapa, Lucjan
    Powiązania:
    https://bibliotekanauki.pl/articles/962640.pdf
    Data publikacji:
    2009
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    parabolic differential functional equations
    difference methods
    nonlinear estimates of the generalized Perron type
    Opis:
    Classical solutions of nonlinear second-order partial differential functional equations of parabolic type with Neumann’s condition are approximated in the paper by solutions of associated explicit difference functional equations. The functional dependence is of the Volterra type. Nonlinear estimates of the generalized Perron type for given functions are assumed. The convergence and stability results are proved with the use of the comparison technique. These theorems in particular cover quasi-linear equations, but such equations are also treated separately. The known results on similar difference methods can be obtained as particular cases of our simple result.
    Źródło:
    Commentationes Mathematicae; 2009, 49, 1; 83-106
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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