Asymptotic Properties of Solutions of Functional Differential Equations – RNDr. Jitka Vacková, Ph.D.
RNDr. Jitka Vacková, Ph.D.
Doctoral thesis
Asymptotic Properties of Solutions of Functional Differential Equations
Asymptotic Properties of Solutions of Functional Differential Equations
Abstract:
Disertační práce pojednává o různých okrajových úlohách funkcionálních diferenciálních rovnic, zejména o úlohách na ohraničená řešení. Jsou studovány kvazi-lineární okrajové úlohy pro systémy obyčejných diferenciálních rovnic na R+, s využitím Banachovy věty o pevném bodě a metody postupných aproximací pro konstrukci řešení včetně numerické stability, dále jsou studovány podmínky ohraničenosti řešení …moreAbstract:
The doctor thesis provides with an insight into the issue of bounded solutions of functional differential equations. Various boundary problems are consid- ered: quasi-linear boundary value problems for systems of ordinary differen- tial equations on R+ using Banach’s Fixed Point Theorem and a method of successive approximations for constructing the solution including a numerical stability; conditions …moreKeywords
Boundary value problem quasi-linear boundary value problem system of ordinary differential equations functional differential equations nonlinear systems with retarded argument existence, unique existence and construction of bounded solutions on R+ and R numerical stability okrajová úloha kvazi-lineární okrajová úloha systém obyčejných diferenciálních rovnic funkcionální diferenciální rovnice nelineární systémy se zpožděným argumentem existence, jednoznačná existence a konstrukce ohraničených řešení na R+ a R numerická stabilita.
Language used: English
Date on which the thesis was submitted / produced: 17. 10. 2016
Identifier:
https://is.muni.cz/th/s4m7i/
Thesis defence
- Date of defence: 16. 12. 2016
- Supervisor: doc. RNDr. Bedřich Půža, CSc.
- Reader: prof. Luisa Malaguti, prof. RNDr. Michal Fečkan, DrSc., prof. RNDr. Irena Rachůnková, DrSc.
Citation record
ISO 690-compliant citation record:
VACKOVÁ, Jitka. \textit{Asymptotic Properties of Solutions of Functional Differential Equations}. Online. Doctoral theses, Dissertations. Brno: Masaryk University, Faculty of Science. 2016. Available from: https://theses.cz/id/zxtimg/.
Full text of thesis
Contents of on-line thesis archive
Published in Theses:- světu
Other ways of accessing the text
Institution archiving the thesis and making it accessible: Masarykova univerzita, Přírodovědecká fakultaMasaryk University
Faculty of ScienceDoctoral programme / field:
Matematics (4-years) / Mathematical Analysis
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