Bc. Matej Horniak

Master's thesis

Eulerova diferenciální rovnice a její zobecnění

Euler differential equation and its generalizations
Abstract:
In this thesis we deal with Euler’s differential equation and its generalizations. The Euler differential equation is a typical example of the so-called conditionally oscillatory equation, and therefore plays an important role in the oscillation theory of linear equations. We study conditional oscillation for linear and half-linear equations. The basic model is the linear Euler equation and the Riemann …more
Abstract:
V tejto diplomovej práci sa venujeme Eulerovej diferenciálnej rovnici a jej zovšeobecneniam. Eulerova diferenciálna rovnica je typickým príkladom takzvanej podmiene oscilatorickej rovnice, a preto hrá dôležitú úlohu v oscilačnej teórii lineárnych rovníc. Študujeme podmienenú osciláciu pre lineárnu a pololineárne rovnice. Základný model je lineárna Eulerova rovnica a Riemann-Weberova rovnica. V práci …more
 

Keywords

Eulerova diferenciálna rovnica pololineárna differenciálna rovnica Riccatiho rovnica podmienená oscilácia Riemann- Weberova rovnica Euler differential equation half-linear differential equation Riccati equation conditional oscilation Riemann-Weber dif- ferential equation
 
Language used: Slovak
Date on which the thesis was submitted / produced: 16. 5. 2018
Identifier: https://is.muni.cz/th/g7jhh/

Thesis defence

  • Date of defence: 6. 2. 2019
  • Supervisor: prof. RNDr. Zuzana Došlá, DSc.
  • Reader: doc. RNDr. Michal Veselý, Ph.D.

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Masaryk University

Faculty of Science

Master programme / field:
Mathematics / Mathematics with Informatics

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