Fixed point theorems in the theory of differential equations
| Thesis title in Czech: | Věty o pevném bodě v teorii diferenciálních rovnic |
|---|---|
| Thesis title in English: | Fixed point theorems in the theory of differential equations |
| Key words: | pevný bod, diferenciální rovnice, kompaktnost, topologický stupeň |
| English key words: | fixed point, differential equation, compactness, topological degree |
| Academic year of topic announcement: | 2019/2020 |
| Thesis type: | diploma thesis |
| Thesis language: | angličtina |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | doc. RNDr. Dalibor Pražák, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 03.02.2020 |
| Date of assignment: | 04.02.2020 |
| Confirmed by Study dept. on: | 11.02.2020 |
| Date and time of defence: | 30.06.2020 09:00 |
| Date of electronic submission: | 29.05.2020 |
| Date of submission of printed version: | 28.05.2020 |
| Date of proceeded defence: | 30.06.2020 |
| Opponents: | doc. RNDr. Tomáš Bárta, Ph.D. |
| Guidelines |
| Řada základních vět o pevném bodě je spjata s existenčními
větami v teorii DR (Banach - Picard, Brouwer - Schauder - Peano). Práce by se zaměřila na výklad a aplikace některých méně běžných variant, souvisejících mj. s vícehodnotovými zobrazeními. |
| References |
| V. Pata: Fixed point theorems and applications (Polimi, 2008).
D. Pascali, S. Sburlan: Nonlinear mappings of monotone type, Sijthoff \& Noordhoff International Publishers, 1978. J.P. Aubin, A. Cellina: Differential inclusions. Springer 1984. |