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Minimalizovat

Workshop z okrajových úloh 2017

Czech-Georgian Workshop on Boundary Value Problems 2017

10. - 13. ledna 2017, Brno

brněnská pobočka MÚ AV ČR, Žižkova 22, Brno, přednášková místnost, 5. patro

Cílem setkání bylo pokračovat v dlouholeté spolupráci s Matematickým ústavem A. Razmadzeho v Tbilisi a přinést možnost seznámit členy cílové skupiny (studenty i akademické pracovníky) s novými výsledky z kvalitativní teorie okrajových úloh a souvisejících oblastí teorie diferenciálních rovnic. Workshop byl věnován osmdesátým narozeninám Prof. Ivana Kiguradyeho. Program se skládal ze 40 minutových přednášek zaměstnanců MÚ AV ČR, partnerských pracovišť a jejich kolegů ze zahraničí. Workshopu se zúčastnilo celkem 23 matematiků (z toho 10 ze zahraničí).

Program přednášek

Tuesday, January 10
   
10:20-11:00 Alexander Lomtatidze (Brno)

On periodic, bounded and unbounded solutions of second orded ODE
11:20-12:00 Nino Partsvania (Tbilisi)

Monotone and oscillatory solutions of higher order nonlinear functional differential systems
14:00-14:40 Zuzana Došlá (Brno)

Unbounded solutions for differential equations with p-Laplacian and mixed nonlinearities
15:00-15:40 Gissele Monteiro (Bratislava)

On Dobrakov integral and its connection to Kurzweil integration theory
15:50-16:30 Nino Partsvania (Tbilisi)

On some estimates for the first eigenvalue of a Sturm-Liouville problem with Dirichlet boundary conditions and a weighted integral condition

Wednesday, January 11
   
10:20-11:00 Sulkhan Mukhigulashvili (Brno)

Two-point BVPs for the 4th order nonlinear ODEs at resonance
11:20-12:00 Milan Tvrdý (Praha)

New results for the Liebau phenomenon via fixed point index
14:00-14:40 Irena Rachůnková (Olomouc)

Periodic solutions of generalized differential equations with state-dependent impulses
15:00-15:40 Pavel Drábek (Plzeň)

Maximum principle for the p-Laplacian with weights
15:50-16:30 S. Zabolotskiy (Moscow)

On exponential equivalence of solutions to nonlinear ordinary differential equations

Thursday, January 12
   
10:00-10:40 Miklós Rontó (Miskolc)

Investigation of some Carathédory boundary value problems by division into subintervals
10:50-11:30 Ivan Kiguradze (Tbilisi)

On boundary value problems on an infinite interval for higher order nonlinear differential systems
11:50-12:30 Svatoslav Staněk (Olomouc)

Periodic boundary value problem for fractional functional differential equations
12:40-13:20 Irina Astashova (Moscow)

On I.T. Kiguradze’s problem concerning power-law asymptotic behavior of blow-up solutions to Emden-Fowler type differential equations
13:30-14:10 K. Dulina, T. Korchemkina (Moscow)

On oscillation of solutions to second-order Emden-Fowler type differential equations with positive potential

Friday, January 13
   
10:20-11:00 V. V. Rogachev (Moscow)

On existence of solution to odd-order nonlinear Emden-Fowler type equation with given number of zeroes on prescribed interval
11:20-11:50 Robert Hakl (Brno)

Periodic solutions to second-order indefinite singular equation
12:00-12:30 Jiří Šremr (Brno)

On non-negative periodic solutions of second-order differential equations with mixed sub-linear and super-linear non-linearities
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