The Bolyai Institute of
the University of Szeged organizes the
Szeged School on
Delay Differential Equations, Theory and Applications
1-2 February, 2018
Riesz Lecture Hall,
Bolyai Building, 1 Aradi vértanúk tere, Szeged, Hungary
Organizer:
Mónika Polner
Lecturers: Tibor Krisztin, Mónika Polner, Attila Dénes (University of Szeged)
Outline:
1. Introduction
1.1. Examples for time-delayed systems
1.2. Basic properties
2. Basic theory
2.1. Existence, uniqueness, continuous dependence
2.2.Continuation: forward, backward
2.3. Differentiability
3. Linear equations
3.1. Generator, spectrum
3.2. Decomposition of the phase space
3.3. Variation of constants formula
3.4. Linearization
4. Near equilibrium and periodic orbits
4.1. Saddle-point property
4.2. Local invariant manifolds: unstable, center, stable, center-unstable, center-stable
5. Problems
Schedule:
Thursday (1 February)
13:00 - 14:30 Lecture
14:30 - 14:50 Coffee break
14:50 - 16:20 Lecture
16:20 - 16:40 Coffee break
16:40 - 18:10 Lecture
Friday (2 February)
9:00 - 10:30 Lecture
10:30 - 11:00 Coffee break
11:00 - 12:30 Lecture
List of participants:
Péter Boldog, Bolyai Institute, University of Szeged, Hungary
László Csizmadia, Bolyai Institute, University of Szeged, Hungary
Petra Csomós, Eötvös Loránd University, Budapest, Hungary
Rita Csuma-Kovács, Bolyai Institute, University of Szeged, Hungary
Attila Dénes, Bolyai Institute, University of Szeged, Hungary
János Dudás, Bolyai Institute, University of Szeged, Hungary
István Faragó, Eötvös Loránd University, Budapest, Hungary
Imre Fekete, Eötvös Loránd University, Budapest, Hungary
Szandra Guzsvány, Bolyai Institute, University of Szeged, Hungary
Yiannis Hadjimichael, MTA-ELTE, Budapest, Hungary
Róbert Horváth, Budapest University of Technology and Economics, Budapest, Hungary
János Karátson, Eötvös Loránd University, Budapest, Hungary
Márton Kiss, Budapest University of Technology and Economics, Budapest, Hungary
Tibor Krisztin, Bolyai Institute, University of Szeged, Hungary
Miklós Mincsovics, Budapest University of Technology and Economics, Budapest, Hungary
Rahele Mosleh, Budapest University of Technology and Economics, Budapest, Hungary
Mónika Polner, Bolyai Institute, University of Szeged, Hungary
Abdulla Obeidat, Eötvös Loránd University, Budapest, Hungary
Bálint Takács, Eötvös Loránd University, Budapest, Hungary
Tamás Tekeli, Bolyai Institute, University of Szeged, Hungary
Gabriella Vas, Bolyai Institute, University of Szeged, Hungary
Anett Vörös-Kiss, Bolyai Institute, University of Szeged, Hungary
Lecturers: Tibor Krisztin, Mónika Polner, Attila Dénes (University of Szeged)
Outline:
1. Introduction
1.1. Examples for time-delayed systems
1.2. Basic properties
2. Basic theory
2.1. Existence, uniqueness, continuous dependence
2.2.Continuation: forward, backward
2.3. Differentiability
3. Linear equations
3.1. Generator, spectrum
3.2. Decomposition of the phase space
3.3. Variation of constants formula
3.4. Linearization
4. Near equilibrium and periodic orbits
4.1. Saddle-point property
4.2. Local invariant manifolds: unstable, center, stable, center-unstable, center-stable
5. Problems
Schedule:
Thursday (1 February)
13:00 - 14:30 Lecture
14:30 - 14:50 Coffee break
14:50 - 16:20 Lecture
16:20 - 16:40 Coffee break
16:40 - 18:10 Lecture
Friday (2 February)
9:00 - 10:30 Lecture
10:30 - 11:00 Coffee break
11:00 - 12:30 Lecture
List of participants:
Péter Boldog, Bolyai Institute, University of Szeged, Hungary
László Csizmadia, Bolyai Institute, University of Szeged, Hungary
Petra Csomós, Eötvös Loránd University, Budapest, Hungary
Rita Csuma-Kovács, Bolyai Institute, University of Szeged, Hungary
Attila Dénes, Bolyai Institute, University of Szeged, Hungary
János Dudás, Bolyai Institute, University of Szeged, Hungary
István Faragó, Eötvös Loránd University, Budapest, Hungary
Imre Fekete, Eötvös Loránd University, Budapest, Hungary
Szandra Guzsvány, Bolyai Institute, University of Szeged, Hungary
Yiannis Hadjimichael, MTA-ELTE, Budapest, Hungary
Róbert Horváth, Budapest University of Technology and Economics, Budapest, Hungary
János Karátson, Eötvös Loránd University, Budapest, Hungary
Márton Kiss, Budapest University of Technology and Economics, Budapest, Hungary
Tibor Krisztin, Bolyai Institute, University of Szeged, Hungary
Miklós Mincsovics, Budapest University of Technology and Economics, Budapest, Hungary
Rahele Mosleh, Budapest University of Technology and Economics, Budapest, Hungary
Mónika Polner, Bolyai Institute, University of Szeged, Hungary
Abdulla Obeidat, Eötvös Loránd University, Budapest, Hungary
Bálint Takács, Eötvös Loránd University, Budapest, Hungary
Tamás Tekeli, Bolyai Institute, University of Szeged, Hungary
Gabriella Vas, Bolyai Institute, University of Szeged, Hungary
Anett Vörös-Kiss, Bolyai Institute, University of Szeged, Hungary