Mgr. Jakub Juránek, Ph.D.

Doctoral thesis

Non-oscillation criteria for differential and difference equations with non-periodic coefficients

Non-oscillation criteria for differential and difference equations with non-periodic coefficients
Abstract:
V této dizertační práci se věnujeme oscilační teorii pololineárních rovnic. Naším cílem je pro jisté pololineární diferenciální a diferenční rovnice s neperiodickými koeficienty odvodit neoscilační kritéria. V důkazech používáme adaptované Riccatiho rovnice. Kromě nezbytné teorie uvádíme i přehled relevantních výsledků.
Abstract:
In this thesis we study the oscillation theory of half-linear equations. Our goal is to derive non-oscillation criteria for certain half-linear differential and difference equations with non-periodic coefficients. We use the adapted Riccati equations in the proofs. In addition to the necessary theory, we also present an overview of relevant results.
 
 
Language used: English
Date on which the thesis was submitted / produced: 15. 12. 2020

Thesis defence

  • Date of defence: 18. 2. 2021
  • Supervisor: doc. RNDr. Michal Veselý, Ph.D.
  • Reader: Mgr. Simona Fišnarová, Ph.D., Prof. Dr. Gabriella Bognár

Citation record

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

Masaryk University

Faculty of Science

Doctoral programme / field:
Mathematics and Statistics / Mathematical Analysis