This thesis deals with Eigenvalues of Laplace operator and with their properties. We have gradually introduced a Laplace eigenvalue problem in one, and then in two dimensions. We have also shown the significant properties of these eigenvalues and the way to determine their ap...

The subject of this thesis are delay differential equations. Delay, system of delay differential equations, initial condition and initial value problem are defined here. The qualitative theory and solution methods for constant delay differential equations are also mentioned. Furthermore, examples ...

A vertex colouring f: V(G) -> N, of a graph G is called a 2-distance vertex colouring if every pair of vertices at distance at most two have different colours. That means f(u) is not equal f(v) for all u,v from V(G) with dist_G(u,v) <= 2. The value f(...

This bachelor thesis "Statistical Analysis of the System Imbalance in the Electric Power System" examines system imbalance that occures in the electrical grid. The examined data, describing system imbalance in a particular business hour, are tested for white noise using...

This bachelor thesis focuses on modeling and prediction of ice hockey match results, specificaly on the regular seasons of the highest-level Czech league, the Extraliga, between 2011 and 2017. The first section of the thesis comprises a list of basic models used in...

This bachelor thesis is focused on studying of multipoint boundary value problems. At first, we show how the multipoint boundary value problem looks like in general. We focuse on a particular four point boundary value problem for which we find eigenvalues and corresponding eigenfun...

This thesis deals with osculating curves and their families. First, definitions of basic terms are given. Further, the thesis deals with the definition of the contact of q-th order of two curves and its relation to the osculating curves. Then, a list of different kinds of...

The subject of this bachelor thesis is the graph invariant known as the interlace polynomial. We will first take a look at the circumstances that led to its creation, before describing its basic properties using previously-published articles. We will then try to find the itera...

This bachelor thesis deals with Estimates of Principal Eigenvalue of the Boundary Value Problems for second order Ordinary Differential Equations. In detail, the Estimates of Principal Eigenvalue of the Boundary Value Problems for second order Linear Ordinary Differential Equations a...

The Bachelor thesis deals with trading on stock markets. The main object is to compare several investment strategies according to trading simulation. The methods Buy and Hold, random closing of positions and the trading according to indicators with recommended values of parameters,...

This Bachelor Thesis is focused on the Fucik spectrum of two boundary value problems for second order differential equations. First, we solve boundary value problem with simple nonlocal condition that we approach to in our own way. This part of the spectrum is then estimated&#...

This bachelor thesis is focused on the study of linear and nonlinear oscillators and especially on the situation where the so-called resonance occurs. First, we analyze in detail the behavior of a linear oscillator. Then we focus on the solution of the Duffing equation using&#...

The goal of this thesis is to analyze relationships among difference equations and loan repayment. Specifically, we first consider the derivation of equations for loan repayment and the amortization plan. Next, we examine the dependencies on the various parameters and we extend loan...

This work formulates a multi-parametric boundary value problem with one parameter included in an equation and the other parameter in a boundary condition. The task is to examine the pairs of the parameter which the problem has a non-trivial solution for. A linear version of&#x...

This thesis is focused on the study of a first order ordinary differential equation that cannot be solved analytically. First, we use the Taylor polynomial of the 1st and 3rd degree to approximate the right side of the equation. In both cases, we calculate and compare...

The aim of this work is to determine the success rate of technical analysis indicators at the time of declines in stock markets. The indicators examined in this work are MACD, RSI and Bollinger bands. Their results are compared with the simple strategy Buy and Hold. ...

This thesis focuses on line and surface integrals and their applications in the theory of electromagnetism. The main issue of this thesis is to describe the mathematical background of Maxwell's equations. After a short introduction to electromagnetism we continue with simple consideratio...

This bachelor thesis analyses the investment in purchase of an apartment for rent. The main goal of this thesis is to assess the investment in terms of profitability, risk and other factors. The thesis also takes into account the development of parameters in the future. T...

This bachelor thesis is focused on measuring income inequalities. First we describe measures of income inequality: Gini index, Lorenz curve, pay gap and ANOVA. In the next section we process and analyse over 4 million data from the Czech Republic, Denmark, Finland, Germany, Norway,...

This bachelor thesis deals with Hamiltonian problems and their coloured variants. The thesis focuses on the conditions under which the graph is Hamiltonian. Both for non-oriented and oriented variants. The last chapter also mentions the structure of graphs without certain types of circles.