Wyniki wyszukiwania - BazEkon

1

Zastosowanie metody kolejnych przybliżeń dla równania Laplace' a - program w Fortranie

100%

Maksymiak E.

Zeszyty Naukowe Uniwersytetu Rzeszowskiego. Seria Ekonomiczna. Marketing i Zarządzanie

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2004

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2

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nr 20

75-83

Artykuł poświęcono metodzie kolejnych przybliżeń. Przedstawiono jej wykorzystanie do rozwiązania równania Laplace'a. Ponieważ metoda kolejnych przybliżeń jest metodą numeryczną, można ją stosować korzystając z elektronicznej techniki obliczeniowej. Podano program napisany w języku FORTRAN rozwiązujący ten układ równań.

2

Existence of Generalized, Positive and Periodic Solutions for Some Differential Equations of Order II

100%

Ligęza J.

Annales Mathematicae Silesianae

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2014

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28

59-86

We study the existence of positive periodic solutions of the equations $$y''(x) - P'(x)y(x) + \mu Q'(x)f(x, y(x)) = 0,$$ $$y''(x) + P'(x)y(x) = \mu Q'(x)f(x, y(x)),$$ where $\mu > 0$, $P$ and $Q$ are real nondecreasing functions, $P'$ and $Q'$ are 1-periodic distributions, $f$ is a continuous function and 1-periodic in the first variable. The Krasnosielski fixed point theorem on cone is used. (original abstract)

3

Existence of Positive Periodic Solutions of Some Differential Equations of Order n (n > 2)

100%

Ligęza J.

Annales Mathematicae Silesianae

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2009

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23

61-81

We study the existence of positive periodic solutions of the equa- tions x(n) (t) - p(t)x(t) + jif (t, x(t),x'(t),.. . , x(n-1) (t)) = 0, x(n) (t) + p(t)x(t) = /.if (t,x(t),x'(t), . . . ,X(n-1) (t)), where n > 2,^ > 0, p: (-TO, TO) (0, TO) is continuous and 1-periodic, f is a continuous function and 1-periodic in the first variable and may take values of different signs. The Krasnosielski fixed point theorem on cone is used. (original abstract)

4

Differential Inclusions - the Theory Initiated by Cracow Mathematical School

100%

Górniewicz L.

Annales Mathematicae Silesianae

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2011

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25

7-25

In that paper, Wazewski demonstrated that each problem of controlling ordinary differential equations of the first order can be articulated with orientor equation terms. That observation served as an essential stimulus to study orientor differential equations and consequently, it contributed to the introduction of the new term, still valid, and that is "differential inclusions". We shall return to the subject of the relations to the control theory in the forthcoming passages of the present lecture. The theory of differential inclusions is located within the mainstream of non-linear analysis - or to put it more precisely - multi-valued analysis. This theory is intensively developed especially in the countries such as France, Germany, Russia, Italy, Canada and USA. In Poland, there is a large group of mathematicians working on these issues. That group is mainly located in the following centres: Gdansk, Torun, Warszawa and Zielona Góra. Moreover, the references listed below - because of the nature of the lecture - are limited to the works by Professor Andrzej Lasota exclusively relating directly or indirectly to the theory of differential inclusions. Rich literature on the subject can be found in the references in the particular monographs. (fragment of text)

5

A Quantitative Management Support Model of a Certain Production-Supply System - Boundary Conditions

100%

Galanc T., Kołwzan W., Pieronek J.

Operations Research and Decisions

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2012

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22

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nr 2

5-13

The paper is dedicated to constructing a method for the probabilistic analysis of the functioning a certain production-supply system. Previously a set of partial differential equations has been derived satisfied by the joint density function of the state of a three-dimensional process characterizing the functioning of the system. The operation of the system at the boundaries of the stock levels is analyzed. Two sets of differential equations have been derived, one describing the operation of the system when the stock level is zero and one describing the operation of the system when the stocks are full. (original abstract)

6

Zastosowanie metody Trefftza do rozwiązania dwuwymiarowego zagadnienia Laplace'a, cz. 1

100%

Borkowska D.

Logistyka

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2014

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nr 6, CD 3

2198-2203

Celem pracy jest zastosowanie jednej z wersji metod Trefftza do analizy dwuwymiarowego zagadnienia potencjału opisywanego równaniem Laplace'a. W tym celu posłużono się równaniem całkowym brzegowym wyprowadzonym z odwrotnego sformułowania wariacyjnego. Przewidując rozwiązanie w postaci superpozycji funkcji Trefftza spełniających równanie różniczkowe oraz przyjmując jako wagi również funkcje Trefftza otrzymuje się równanie bazowe metody oznaczonej symbolem I-S;T-T. Część pierwsza artykułu zawiera analizę teoretyczną metody. Druga część pracy zawiera szczegóły dotyczące techniki programowania metody (której implementację wykonano w środowisku Matlab) oraz numeryczne rozwiązanie wybranego dwuwymiarowego zagadnienia brzegowego Laplace'a. Jako przykład testowy wybrany został problem Motza. Przeprowadzone eksperymenty numeryczne dla różnych danych wejściowych ukazują przydatność metody w rozwiązywaniu zagadnień brzegowych. (abstrakt oryginalny)

7

On Computer-Assisted Proving the Existence of Periodic and Bounded Orbits

100%

Srzednicki R.

Annales Mathematicae Silesianae

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2015

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29

7-17

We announce a new result on determining the Conley index of the Poincaré map for a time-periodic non-autonomous ordinary differential equation. The index is computed using some singular cycles related to an index pair of a small-step discretization of the equation. We indicate how the result can be applied to computer-assisted proofs of the existence of bounded and periodic solutions. We provide also some comments on computer-assisted proving in dynamics.(original abstract)

8

An Application of the Theory of Scale of Banach Spaces

100%

Dawidowski Ł.

Annales Mathematicae Silesianae

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2015

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29

51-59

The abstract Cauchy problem on scales of Banach space was considered by many authors. The goal of this paper is to show that the choice of the space on scale is significant. We prove a theorem that the selection of the spaces in which the Cauchy problem `u_{t}-\triangle u=u|u|^{s}` with initial- boundary conditions is considered has an influence on the selection of index s. For the Cauchy problem connected with the heat equation we will study how the change of the base space influents the regularity of the solutions(original abstract)

9

Gamma Graphs of Some Special Classes of Trees

100%

Bień A.

Annales Mathematicae Silesianae

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2015

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29

25-34

A set `S\subset V` is a dominating set of a graph G = (V, E) if every vertex v `\epsilon` V which does not belong to S has a neighbour in S. The domination number \gamma(G) of the graph G is the minimum cardinality of a dominating set in G. A dominating set S is a `\gamma`-set in G if `|S| = \gamma`(G). Some graphs have exponentially many `\gamma`-sets, hence it is worth to ask a question if a `\gamma`-set can be obtained by some transformations from another `\gamma`-set. The study of gamma graphs is an answer to this reconfiguration problem. We give a partial answer to the question which graphs are gamma graphs of trees. In the second section gamma graphs `\gamma`.T of trees with diameter not greater than five will be presented. It will be shown that hypercubes Qk are among `\gamma`.T graphs. In the third section `\gamma`.T graphs of certain trees with three pendant vertices will be analysed. Additionally, some observations on the diameter of gamma graphs will be presented, in response to an open question, published by Fricke et al., if diam(T(`\gamma`)) = O(n)? (original abstract)

10

Inequalities of Lipschitz Type for Power Series in Banach Algebras

100%

Dragomir S. S.

Annales Mathematicae Silesianae

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2015

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29

61-83

Let `f(z)=\sum_{n=0}^\infty \alpha_nz^n` be a function defined by power series with complex coefficients and convergent on the open disk `D(0,R)\subset C,R>0`. For any `x, y\in\beta`, a Banach algebra, with `||x|| , ||y|| < R` we show among others that

| | f (y) &11 A General Fixed Point Theorem for Implicit Cyclic Multi-Valued Contraction Mappings 100% Popa V. Annales Mathematicae Silesianae | 2015 | 29 119-129 In this paper, a general fixed point theorem for cyclic multi-valued mappings satisfying an implicit relation from [19] different from implicit relations used in [13] and [23], generalizing some results from [22], [15], [13], [14], [16], [10] and from other papers, is proved.(original abstract)12 Exponential Convergence for Markov Systems 100% Sładek A. Annales Mathematicae Silesianae | 2015 | 29 139-149 Markov operators arising from graph directed constructions of iterated function systems are considered. Exponential convergence to an invariant measure is proved.(original abstract)13 Universally Kuratowski-Ulam Spaces and Open-Open Games 100% Kalemba P., Kucharski A. Annales Mathematicae Silesianae | 2015 | 29 85-92 We examine the class of spaces in which the second player has a winning strategy in the open-open game. We show that this spaces are not universally Kuratowski-Ulam. We also show that the games G and G7 introduced by P. Daniels, K. Kunen, H. Zhou [Fund. Math. 145 (1994), no. 3, 205-220] are not equivalent.(original abstract)14 Linear Dependence of Powers of Linear Forms 100% Sładek A. Annales Mathematicae Silesianae | 2015 | 29 131-138 The main goal of the paper is to examine the dimension of the vector space spanned by powers of linear forms. We also find a lower bound for the number of summands in the presentation of zero form as a sum of d-th powers of linear forms.(original abstract)15 Communication Complexity and Linearly Ordered Sets 100% Kula M., Serwecinska M. Annales Mathematicae Silesianae | 2015 | 29 93-117 The paper is devoted to the communication complexity of lattice operations in linearly ordered finite sets. All well known techniques ([4, Chapter 1]) to determine the communication complexity of the infimum function in linear lattices disappoint, because a gap between the lower and upper bound is equal to O(log2 n), where n is the cardinality of the lattice. Therefore our aim will be to investigate the communication complexity of the function more carefully. We consider a family of so called interval protocols and we construct the interval protocols for the infimum. We prove that the constructed protocols are optimal in the family of interval protocols. It is still open problem to compute the communication complexity of constructed protocols but the numerical experiments show that their complexity is less than the complexity of known protocols for the infimum function.(original abstract)16 The Fifteenth Katowice-Debrecen Winter Seminar Bedlewo (Poland), January 28-31, 2015 100% Dragomir S. S. Annales Mathematicae Silesianae | 2015 | 29 151-165 The Fifteenth Katowice-Debrecen Winter Seminar on Functional Equations and Inequalities was held in the Mathematical Research and Conference Center Bedlewo, Poland, from January 28 to 31, 2015. It was organized by Stefan Banach International Mathematical Center. 14 participants came from the University of Debrecen (Hungary), 13 from the University of Silesia in Katowice (Poland) and one from each of the following universities: University of Miskolc (Hungary), Pedagogical University of Cracow, Kraków (Poland) and Vologda State University, Vologda, (Russian Federation) Professor Roman Ger opened the Seminar and welcomed the participants to Bedlewo. The scientific talks presented at the Seminar focused on the following topics: equations in a single variable and in several variables, iteration theory, equations on abstract algebraic structures, regularity properties of the solutions of certain functional equations, functional inequalities, Hyers-Ulam stability, functional equations and inequalities involving mean values, generalized convexity. Interesting discussions were generated by the talks. There was also a Problem Session and a festive dinner. The closing address was given by Professor Zsolt Páles. His invitation to hold the Sixteenth Debrecen-Katowice Winter Seminar on Functional Equations and Inequalities in February 2016 in Hungary was gratefully accepted. Summaries of the talks in alphabetic order of the authors follow in section 1 and the list of participants in the second section.(fragment of text)17 Some Existence Results for Systems of Impulsive Stochastic Differential Equations 100% Mekki S., Nieto J. J., Ouahab A. Annales Mathematicae Silesianae | 2021 | 35 (2) 260-281 In this paper we study a class of impulsive systems of stochastic differential equations with infinite Brownian motions. Sufficient conditions for the existence and uniqueness of solutions are established by mean of some fixed point theorems in vector Banach spaces. An example is provided to illustrate the theory.(original abstract)18 Twierdzenie o ciągłej zależności rozwiązania układu liniowych równań różniczkowych od parametrów i od danych początkowych 100% Dawara A. Prace Naukowe Akademii Ekonomicznej we Wrocławiu | 1993 | nr 663 Ekonomia matematyczna 103-107 W artykule zajmiemy się problemem stabilności rozwiązania układu liniowych równań różniczkowych. Podajemy dowód twierdzenia o ciągłej zależności rozwiązania układu liniowych równań różniczkowych od parametrów i danych początkowych. Prawdziwość tego twierdzenia oznacza stabilność rozwiązania. Udowodnimy twierdzenie o ciągłej zależności rozwiązania od parametrów i danych początkowych dla układu równań liniowych o współczynnikach stałych, w postaci macierzowej. (fragment tekstu)19 The Periodical Solutions of the Second Order System of Difference Equations 100% Musielak R. Zeszyty Naukowe. Seria 1 / Akademia Ekonomiczna w Poznaniu | 1985 | nr 132 Papers on Numerical Methods and Their Applications 115-119 Podano warunki konieczne i dostateczne istnienia rozwiązań okresowych dla układu równań różnicowych uogólniając rezultaty L.W. Trigubovic'a. (abstrakt oryginalny)20 Dostęp do pełnego tekstu na zewnętrznej witrynie WWW Elements of Differential Equations in the Mathematics Course for Students of Economics 100% Biernacki M. Didactics of Mathematics | 2015 | nr 12 (16) 5-10 The article presents a proposal of one lecture with elements of differential equations included in a 30-hour course in mathematics for students of economics at the University of Economics in Wrocław. The author puts forward a presentation of some basic methods for solving first order differential equations exemplified by two macroeconomic growth models: the Domar model and the Solow model.(original abstract)Strona / 5function onEnterUpdateSearchLimit(event, form) {
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