Bc. Adam Dobrovič

Master's thesis

Oscilační vlastnosti pololineárních diferenciálních systémů

Oscillatory properties of half-linear differential systems
Abstract:
In this thesis we deal with the oscillation and nonoscillation of scalar half-linear differential systems. This thesis is divided into three chapters. The first chapter presents the basic definitions and properties. Especially Riccati's transformation, which plays a key role in the whole thesis. In the second chapter we present oscillation and nonoscillation criteria. Finally, in the third chapter …more
Abstract:
V tejto diplomovej práci sa venujeme oscilatorickosti a neoscilatorickosti skalárnych pololineárnych diferenciálnych systémov. Práca je rozdelená do troch kapitol. V prvej kapitole sú uvedené základné pojmy a vlastnosti. Obzvlášť Riccatiho transformácia, ktorá hrá kľúčovú úlohu v celej práci. V druhej kapitole sa venujeme samotným kritériám oscilatorickosti a neoscilatorickosti. Nakoniec, v tretej …more
 

Keywords

Pololineárna diferenciálna rovnica Neoscilatorickosť Riccatiho transformácia Minimálne riešenie Maximálne riešenie Intermediárne riešenie Half-linear differential equation Nonoscillation Riccati transformation Minimal solution Maximal solution Intermediate solution
 
Language used: Slovak
Date on which the thesis was submitted / produced: 11. 5. 2022
Identifier: https://is.muni.cz/th/dj0fq/

Thesis defence

  • Date of defence: 21. 6. 2022
  • Supervisor: doc. Mgr. Peter Šepitka, Ph.D.
  • Reader: doc. RNDr. Michal Veselý, Ph.D.

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Institution archiving the thesis and making it accessible: Masarykova univerzita, Přírodovědecká fakulta
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Masaryk University

Faculty of Science

Master programme / field:
Applied Mathematics / Differential equations and their applications

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