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1 Równania różniczkowe w Polsce : zarys historii do połowy lat siedemdziesiątych XX wieku
100%
Roczniki Polskiego Towarzystwa Matematycznego. Seria 2: Wiadomości Matematyczne
2001 [Z] 37 63-118
2 Analysis and Applications of Composed Forms of Caputo Fractional Derivatives
80%
Acta Mechanica et Automatica
 EN In this paper we consider two ordinary fractional differential equations with composition of the left and the right Caputo derivatives. Analytical solution of this type of equations is known for particular cases, having a complex form, and therefore is difficult in practical calculations. Here, we [...]
3 Variable-, Fractional-Orders Closed-Loop Systems Description
80%
Acta Mechanica et Automatica
 EN In this paper we explore the linear difference equations with fractional orders, which are functions of time. A description of closed-loop dynamical systems described by such equations is proposed. In a numerical example a simple control strategy based on time-varying fractional orders is presented.
4 Investigation of Fixed-Point Computation Influence on Numerical Solutions of Fractional Differential Equations
80%
Acta Mechanica et Automatica
 EN In this paper the problem of the influence of fixed point computation on numerical solutions of linear differential equations of fractional order is considered. It is a practically important problem, because of potential possibilities of using dynamical systems of fractional order in the tasks of c[...]
5 On Application of the Contraction Principle to Solve the Two-Term Fractional Differential Equations
80%
Acta Mechanica et Automatica
 EN We solve two-term fractional differential equations with left-sided Caputo derivatives. Existence-uniqueness theorems are proved using newly-introduced equivalent norms/metric on the space of continuous functions. The metrics are modified in such a way that the space of continuous functions is compl[...]
6 Parallel algorithm for system of differential equations integration
80%
Journal of Applied Computer Science
 EN The new approach to calculate dynamic behavior of large-scale systems, separated on subsystems is presented. Parallelization efficiency of computing process is described.
7 Bogdan Ziemian (1953-1997)
80%
Roczniki Polskiego Towarzystwa Matematycznego. Seria 2: Wiadomości Matematyczne
1999 [Z] 35 153-166
8 O pewnej zunifikowanej metodzie rozwiązywania równań liniowych o stałych współczynnikach
80%
Matematyka Stosowana : matematyka dla społeczeństwa
2004 Nr 5 7-31
9
80%
Fasciculi Mathematici
2004 Nr 34 73-83
 EN In this paper, necessary and sufficient conditions have been obtained for a class of forced superlinear second order neutral differential equations of Emden-Fowler type such that every solution of the equation is either oscillatory or tends to zero as t -> niekończoność
10
80%
Zeszyty Naukowe. Matematyka / Politechnika Opolska
2001 z. 17 17-24
 PL W artykule skonstruowano i uzasadniono asymptotyczne rozwinięcie nielokalnego zagadnienia dla równania różniczkowego zwyczajnego z małym parametrem przy starszej pochodnej. EN To nonlocal problems to singularly perturbed ordinary differential equation of the second order are treated. By application of the boundary layer method the asymptotic expansions of solutions of these problems are obtained.
11 Modelowanie silników indukcyjnych w naturalnym układzie współrzędnych
80%
Maszyny Elektryczne : zeszyty problemowe
2003 Nr 66 129-135
 EN A direct method of solving the primary system of equations in the induction motor circuital model is presented. The model is set in the natural system of coordinates, with the system of equations expressed using matrix notation. Well-known algorithms for matrix determinant computation and matrix mul[...]
12 On the oscillation of odd order neutral differential equations
80%
Fasciculi Mathematici
1999 Nr 29 167-183
 EN Consider the odd order neutral differential equation [formula] where [...]l is an oddinteger, [...] Some new sufficient conditions for oscillation of the above equation are obtained. A comparison resu1t is also established.
13 Oscillations of some difference equations
80%
Fasciculi Mathematici
1998 Nr 28 149-155
 EN Oscillation criteria for nonlinear difference equation ofthe fonn [...] are estab1ished. These criteria extend those in [13-15] and .
14 Growth estimate for solutions of difference equations
80%
Fasciculi Mathematici
1999 Nr 30 147-158
 EN In the paper asymptotic estimates for nonoscillatory solutions of some kinds of difference equations are given.
15 A note on unstable neutral differential equations of the second order
80%
Fasciculi Mathematici
1999 Nr 29 17-22
 EN The airn of this paper is to irnprove an existing sufficient conditions for all bounded solutions of the second order neutral differential equation [...] to be oscillatory .
16
80%
Applied Mathematics and Computer Science
1998 Vol. 8, no 3 599-609
 EN The work concerns training neural networks for approximate mappings being solutions to differential equations, especially partial-differential equations. The presented approaches falI into two categories. In the first one, backpropagation training is combined with an arbitrary numerical method used [...]
17 On regularity of linear systems of differential equations
80%
Silesian Journal of Pure and Applied Mathematics
 EN The paper presents the theorems about regularity of systems of differential equations. The paper is divided into two parts. The first part contains a theoretical introduction. The second part contains theorems which allows to determine the regularity of the system using the generalized Lyapunov func[...]
18 Oscillation criteria for second-order functional difference equation with neutral terms
70%
Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics
 EN In this manuscript, two type of new oscillation criteria are obtained respect to coefficient ak in the following Eq. (1.1). In the subsection 2.1 considered as ak > 0. In the subsection 2.2 allowed it to be an oscillating sequence. There are no results for the oscillation of second order difference [...]
19 Solvability conditions for a nonlocal boundary value problem for linear functional differential equations
70%
Fasciculi Mathematici
2009 Nr 41 81-96
20 Zastosowanie wielokrokowej procedury numerycznego całkowania w obserwatorze prędkości kątowej silnika indukcyjnego
70%
Maszyny Elektryczne : zeszyty problemowe
2009 Nr 84 45-49
 EN The paper presents mulistep integration routine and comparison of selected numerical integration methods on example of angular speed observer computations. The multistep BGKODE_DSP routine use predictor- corrector (PECE) method. This routine is based on BGKODE routine, which forms a practical applic[...]   Strona / 5   