Non-oscillation of half-linear differential equations with periodic coefficients

We consider half-linear Euler type differential equations with general periodic coefficients. It is well-known that these equations are conditionally oscillatory, i.e., there exists a border value given by their coefficients which separates oscillatory equations from non-oscillatory ones. In this paper, we study oscillatory properties in the border case. More precisely, we prove that the considered equations are non-oscillatory in this case. Our results cover the situation when the periodic coefficients do not have any common period

Limit periodic linear difference systems with coefficient matrices from commutative groups

In this paper, limit periodic and almost periodic homogeneous linear difference systems are studied. The coefficient matrices of the considered systems belong to a given commutative group. We find a condition on the group under which the systems, whose fundamental matrices are not almost periodic, form an everywhere dense subset in the space of all considered systems. The treated problem is discussed for the elements of the coefficient matrices from an arbitrary infinite field with an absolute value. Nevertheless, the presented results are new even for the field of complex numbers

Applying Fundamental Analysis When Investing In Stocks Of Selected European Technology Companies

Tato diplomová práce se zabývá fundamentální analýzou akcií vybraných evropských technologických společností. Tento typ analýzy patří mezi nejpoužívanější metody ohodnocení akcií. V první části jsou vymezena teoretická východiska analýzy současné ekonomické situace, regresní analýza, firemní analýza akcií a metody mezipodnikového srovnání nezbytná pro praktickou aplikaci. V praktické části se práce zaměřuje na analýzu vybraných společností a volbě hodnotících ukazatelů. Následně je firemní analýzou stanovena aktuální vnitřní hodnota akcií firem. V závěru práce je provedeno srovnání firem pomocí metod mezipodnikového srovnávání. Na základě výsledků analýz bude navrženo doporučení pro nejvhodnější investici.This thesis deals with the fundamental analysis of stocks of selected European technology companies. This type of analysis is the most widely used method of valuation of the shares. The first part describes the theoretical background of the analysis current economic situation, regression analysis, analysis of corporate shares and methods of intercompany comparison necessary for practical application. In the practical part focuses on the analysis of selected companies and selecting evaluation indicators. Subsequently is determined by corporate analysis the current intrinsic value of the shares. In conclusion, a comparison is made of firms using the methods of intercompany comparison. Based on the results of the analysis will be proposed recommendations for the best investment.

Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients

We investigate a type of the Sturm-Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations. We compute this oscillation constant explicitly. If the almost periodic coefficients are replaced by constants, our result reduces to the well-known result about the discrete Euler equation