Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

English (EN)·Polski (PL)·Yкраїнський (UK)
Przejdź do strony domowej biblioteki Centralna Biblioteka Wojskowa Link otwiera się w nowym oknie Logo biblioteki Prolib Integro - strona głównaCentralna Biblioteka Wojskowa

Wyszukujesz frazę "derivative" wg kryterium: Temat

  Lista filtrów
Wyrównaj
    Wyświetlanie 1-14 z 14
    Tytuł:
    A univalence criterion for meromorphic functions
    Autorzy:
    Miazga, J.
    Wesołowski, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1312357.pdf
    Data publikacji:
    1991
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Löwner chain
    Schwarz derivative
    Opis:
    A sufficient univalence condition for meromorphic functions is given
    Źródło:
    Annales Polonici Mathematici; 1991-1992, 56, 1; 63-66
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Classical solutions of hyperbolic partial differential equations with implicit mixed derivative
    Autorzy:
    Marano, Salvatore
    Powiązania:
    https://bibliotekanauki.pl/articles/1312194.pdf
    Data publikacji:
    1992
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    hyperbolic equation
    implicit mixed derivative
    classical solution
    Opis:
    Let f be a continuous function from $[0,a] × [0,β] × (ℝ^n)⁴$ into $ℝ^n$. Given $u₀,v₀ ∈ C⁰([0,β],ℝ^n)$, with f(0, x, ∫_0^x u₀(s)ds, ∫_0^x v₀(s)ds, u₀(x), v₀(x)) = v₀(x) for every x ∈ [0,β], consider the problem (P) { ∂²z/(∂t∂x) = f(t, x, z, ∂z/∂t, ∂z/∂x, ∂²z/(∂t∂x)),
    $z(t,0) = ϑ_{ℝ^n}$, $z(0,x)=∫_0^x u₀(s)ds$, ∂²z(0,x)/(∂t∂x) = v₀(x). In this paper we prove that, under suitable assumptions, problem (P) has at least one classical solution that is local in the first variable and global in the other. As a consequence, we obtain a generalization of a result by P. Hartman and A. Wintner ([4], Theorem 1).
    Źródło:
    Annales Polonici Mathematici; 1991-1992, 56, 2; 163-178
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Point derivations for Lipschitz functions andClarkes generalized derivative
    Autorzy:
    Demyanov, Vladimir
    Pallaschke, Diethard
    Powiązania:
    https://bibliotekanauki.pl/articles/1339173.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    point derivations
    generalized directional derivative
    Lipschitz functions
    Opis:
    Clarke's generalized derivative $f^0(x,v)$ is studied as a function on the Banach algebra Lip(X,d) of bounded Lipschitz functions f defined on an open subset X of a normed vector space E. For fixed $x\in X$ and fixed $v\in E$ the function $f^0(x,v)$ is continuous and sublinear in $f\in Lip(X,d)$. It is shown that all linear functionals in the support set of this continuous sublinear function satisfy Leibniz's product rule and are thus point derivations. A characterization of the support set in terms of point derivations is given.
    Źródło:
    Applicationes Mathematicae; 1996-1997, 24, 4; 465-474
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    $(H_p,L_p)$-type inequalities for the two-dimensional dyadic derivative
    Autorzy:
    Weisz, Ferenc
    Powiązania:
    https://bibliotekanauki.pl/articles/1287322.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Hardy spaces
    p-atom
    interpolation
    Walsh functions
    dyadic derivative
    Opis:
    It is shown that the restricted maximal operator of the two-dimensional dyadic derivative of the dyadic integral is bounded from the two-dimensional dyadic Hardy-Lorentz space $H_{p,q}$ to $L_{p,q}$ (2/3 < p < ∞, 0 < q ≤ ∞) and is of weak type $(L_1,L_1)$. As a consequence we show that the dyadic integral of a ∞ function $f ∈ L_1$ is dyadically differentiable and its derivative is f a.e.
    Źródło:
    Studia Mathematica; 1996, 120, 3; 271-288
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Hyperbolically convex functions II
    Autorzy:
    Ma, William
    Minda, David
    Powiązania:
    https://bibliotekanauki.pl/articles/1294054.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    hyperbolic convexity
    two-variable characterization
    Schwarzian derivative
    distortion theorem
    Opis:
    Unlike those for euclidean convex functions, the known characterizations for hyperbolically convex functions usually contain terms that are not holomorphic. This makes hyperbolically convex functions much harder to investigate. We give a geometric proof of a two-variable characterization obtained by Mejia and Pommerenke. This characterization involves a function of two variables which is holomorphic in one of the two variables. Various applications of the two-variable characterization result in a number of analogies with the classical theory of euclidean convex functions. In particular, we obtain a uniform upper bound on the Schwarzian derivative. We also obtain the sharp lower bound on |f'(z)| for all z in the unit disk, and the sharp upper bound on |f'(z)| when |z| ≤ √2 - 1.
    Źródło:
    Annales Polonici Mathematici; 1999, 71, 3; 273-285
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Modulating element method in the identification of a generalized dynamical system
    Autorzy:
    Wysocki, Hubert
    Zellma, Marek
    Powiązania:
    https://bibliotekanauki.pl/articles/1340449.pdf
    Data publikacji:
    1995
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    identification
    dynamical system
    modulating element
    integral
    derivative
    limit condition
    operational calculus
    Opis:
    In this paper the identification of generalized linear dynamical differential systems by the method of modulating elements is presented. The dynamical system is described in the Bittner operational calculus by an abstract linear differential equation with constant coefficients. The presented general method can be used in the identification of stationary continuous dynamical systems with compensating parameters and for certain nonstationary compensating or distributed parameter systems.
    Źródło:
    Applicationes Mathematicae; 1993-1995, 22, 4; 447-467
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Connectivity of diagonal products of Baire one functions
    Autorzy:
    Maliszewski, Aleksander
    Powiązania:
    https://bibliotekanauki.pl/articles/1208439.pdf
    Data publikacji:
    1994
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Darboux function
    peripheral continuity
    approximate continuity
    derivative
    Baire one function
    diagonal product
    Opis:
    We characterize those Baire one functions f for which the diagonal product x → (f(x), g(x)) has a connected graph whenever g is approximately continuous or is a derivative.
    Źródło:
    Fundamenta Mathematicae; 1994-1995, 146, 1; 21-29
    0016-2736
    Pojawia się w:
    Fundamenta Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The effect of rounding errors on a certain class of iterative methods
    Autorzy:
    Argyros, Ioannis
    Powiązania:
    https://bibliotekanauki.pl/articles/1208172.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Fréchet derivative
    Lipschitz conditions
    Newton-like method
    inexact Newton-like method
    Banach space
    Opis:
    In this study we are concerned with the problem of approximating a solution of a nonlinear equation in Banach space using Newton-like methods. Due to rounding errors the sequence of iterates generated on a computer differs from the sequence produced in theory. Using Lipschitz-type hypotheses on the mth Fréchet derivative (m ≥ 2 an integer) instead of the first one, we provide sufficient convergence conditions for the inexact Newton-like method that is actually generated on the computer. Moreover, we show that the ratio of convergence improves under our conditions. Furthermore, we provide a wider choice of initial guesses than before. Finally, a numerical example is provided to show that our results compare favorably with earlier ones.
    Źródło:
    Applicationes Mathematicae; 2000, 27, 3; 369-375
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Local convergence of inexact Newton methods under affine invariant conditions and hypotheses on the second Fréchet derivative
    Autorzy:
    Argyros, Ioannis
    Powiązania:
    https://bibliotekanauki.pl/articles/1338691.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    superlinear
    Fréchet derivative
    weak convergence
    inexact Newton method
    strong
    forcing sequence
    Banach space
    Opis:
    We use inexact Newton iterates to approximate a solution of a nonlinear equation in a Banach space. Solving a nonlinear equation using Newton iterates at each stage is very expensive in general. That is why we consider inexact Newton methods, where the Newton equations are solved only approximately, and in some unspecified manner. In earlier works [2], [3], natural assumptions under which the forcing sequences are uniformly less than one were given based on the second Fréchet derivative of the operator involved. This approach showed that the upper error bounds on the distances involved are smaller compared with the corresponding ones using hypotheses on the first Fréchet derivative. However, the conditions on the forcing sequences were not given in affine invariant form. The advantages of using conditions given in affine invariant form were explained in [3], [10]. Here we reproduce all the results obtained in [3] but using affine invariant conditions.
    Źródło:
    Applicationes Mathematicae; 1999, 26, 4; 457-465
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Derivative and antiderivative operators and the size of complex domains
    Autorzy:
    Bernal-González, Luis
    Powiązania:
    https://bibliotekanauki.pl/articles/1311689.pdf
    Data publikacji:
    1994
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    universal function
    equicontinuous sequence
    derivative operator
    antiderivative operator
    MacLane's theorem
    size of a domain
    Opis:
    We prove some conditions on a complex sequence for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to it. These operators are defined on the space of holomorphic functions in a complex domain. Conditions for the equicontinuity of those sequences are also studied. The conditions depend upon the size of the domain.
    Źródło:
    Annales Polonici Mathematici; 1994, 59, 3; 267-274
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    All solenoids of piecewise smooth maps are period doubling
    Autorzy:
    Alsedà, Lluís
    Jiménez López, Víctor
    Snoha, L’ubomír
    Powiązania:
    https://bibliotekanauki.pl/articles/1205307.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Markov graph
    periodic point
    piecewise smooth map with nowhere vanishing Lipschitz continuous derivative
    piecewise linear map
    solenoid
    Opis:
    We show that piecewise smooth maps with a finite number of pieces of monotonicity and nowhere vanishing Lipschitz continuous derivative can have only period doubling solenoids. The proof is based on the fact that if $p_1 < ... < p_n$ is a periodic orbit of a continuous map f then there is a union set ${q_1,..., q_{n-1}}$ of some periodic orbits of f such that $p_i < q_i < p_{i+1}$ for any i.
    Źródło:
    Fundamenta Mathematicae; 1998, 157, 2-3; 121-138
    0016-2736
    Pojawia się w:
    Fundamenta Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sufficient conditions of optimality for multiobjective optimization problems with γ-paraconvex data
    Autorzy:
    Amahroq, T.
    Taa, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1219613.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    contingent derivative
    γ-paraconvex multifunction
    optimality conditions
    B-tangentially compact
    compactly γ-paraconvex multifunction
    Pareto minimal point
    Opis:
    We study multiobjective optimization problems with γ-paraconvex multifunction data. Sufficient optimality conditions for unconstrained and constrained problems are given in terms of contingent derivatives.
    Źródło:
    Studia Mathematica; 1997, 124, 3; 239-247
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Multiple solutions for nonlinear discontinuous elliptic problems near resonance
    Autorzy:
    Kourogenis, Nikolaos
    Papageorgiou, Nikolaos
    Powiązania:
    https://bibliotekanauki.pl/articles/965892.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    discontinuous function
    generalized directional derivative
    critical point
    coercive functional
    multiple solutions
    Clarke subdifferential
    Rayleigh quotient
    first eigenvalue
    p-Laplacian
    elliptic inclusion
    nonsmooth Palais-Smale condition
    Opis:
    We consider a quasilinear elliptic eigenvalue problem with a discontinuous right hand side. To be able to have an existence theory, we pass to a multivalued problem (elliptic inclusion). Using a variational approach based on the critical point theory for locally Lipschitz functions, we show that we have at least three nontrivial solutions when $λ → λ_1$ from the left, $λ_1$ being the principal eigenvalue of the p-Laplacian with the Dirichlet boundary conditions.
    Źródło:
    Colloquium Mathematicum; 1999, 81, 1; 89-99
    0010-1354
    Pojawia się w:
    Colloquium Mathematicum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Functions characterized by images of sets
    Autorzy:
    Ciesielski, Krzysztof
    Dikrajan, Dikran
    Watson, Stephen
    Powiązania:
    https://bibliotekanauki.pl/articles/966079.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    continuous function
    strongly rigid family of spaces
    upper or lower semicontinuous function
    Tikhonov space
    derivative
    Borel function
    Baire class 1 function
    Cook continuum
    measurable function
    approximately continuous function
    functionally Hausdorff space
    Opis:
    For non-empty topological spaces X and Y and arbitrary families $\cal A$ ⊆ $\cal P(X)$ and $\cal B ⊆ \cal P(Y)$ we put $\cal C_{\cal A,\cal B}$={f ∈ $Y^X$ : (∀ A ∈ $\cal A$)(f[A] ∈ $\cal B)$}. We examine which classes of functions $\cal F$ ⊆ $Y^X$ can be represented as $\cal C_{\cal A,\cal B}$. We are mainly interested in the case when $\cal F=\cal C(X,Y)$ is the class of all continuous functions from X into Y. We prove that for a non-discrete Tikhonov space X the class $\cal F=\cal C$(X,ℝ) is not equal to $\cal C_{\cal A,\cal B}$ for any $\cal A$ ⊆ $\cal P(X)$ and $\cal B$ ⊆ $\cal P$(ℝ). Thus, $\cal C$(X,ℝ) cannot be characterized by images of sets. We also show that none of the following classes of real functions can be represented as $\cal C_{\cal A,\cal B}$: upper (lower) semicontinuous functions, derivatives, approximately continuous functions, Baire class 1 functions, Borel functions, and measurable functions.
    Źródło:
    Colloquium Mathematicum; 1998, 77, 2; 211-232
    0010-1354
    Pojawia się w:
    Colloquium Mathematicum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-14 z 14

      Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies