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EN
The article concerns the comparative analysis concerning credit market situation on the background of economic growth changes in Poland, the Czech Republic, Lithuania and Hungary. The main objective of this article is to identify the similarities and differences in the economic situation of the whole economies and credits market conditions in individual countries. This relationship has been verified for each country. To determine the strength of the relationship between the dynamics of changes in the value of credits and GDP, Pearson correlation analysis was used. The basis of the analysis presented in the article was data from central banks, Central Statistical Office and Eurostat. Time horizon under investigation covered the period of 2004-2013. The results of analysis indicate that both the economic condition of entire economies, as well as the situation in the credit market remained diverse in all analyzed countries. Among the most significant similarities there was found that changes in the rate of economic growth in the analyzed countries remained at a moderate depending on the dynamics of changes in the credit market. Although the analyzed countries experienced a financial crisis, not all of them recorded a negative growth rate of GDP and credits.
2
Content available remote Zastosowanie szeregu Fouriera do analizy modulacji PWM
PL
W referacie przedstawiono podstawy matematyczne szeregu Fouriera. Podano kryteria zbieżności sum częściowych szeregu Fouriera w przypadku jednej i dwóch zmiennych. Zastosowanie szeregu Fouriera dwóch zmiennych przedstawiono w oparciu o przekształcenie Bennetta dla iloczynu dwóch funkcji. Opisano modulację impulsową PWM z zastosowaniem przekształcenia Bennetta. Zamieszczono opis modulacji szerokości impulsów napięcia wyjściowego metodą porównania sygnału nośnego i modulującego - PWM.. Rozważania matematyczne zilustrowano wynikami symulacji i grafiki komputerowej.
EN
The Mathematical principles of Fourier series with one and two variables have been presented in this paper. Several criteria of partial sum of Fourier series convergence in the point of jump function have been also considered. The application of double Fourier series proposed by Bennett to amplitude modulation has been described in details. Based on Bennett proposal, the pulse width modulation has been reconsidered. Some mathematical results have been additionally illustrated by computer simulation drawings.
EN
In this paper, we study a class of generalized strongly nonlinear quasivariational inequality problem (GSNQVIP(T,A,g,D,K(x))) which include the most of quasivariational inequalities and quasicomplementarity problems as special cases. We prove that the generalized strongly nonlinear quasivariational inequality problem is equivalent to solving the set-valued implicit Wiener-Hopf equation. By using the equivalence, a new iterative algorithm for finding the approximate solutions of the generalized strongly nonlinear quasivariational inequality problems are suggested and analyzed. The convergence criteria for the algorithm is also discussed. These new results include many known results for generalized quasivariational inequalities and generalized quasicomplementarity problems as special cases.
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