Universitatis Iagellonicae Acta Mathematica
XXXVI (1998)
Proceedings of the ConferenceTopological Methods in Differential Equations
and Dynamical Systems
Editor of the series: Bolesław Szafirski
Editors of the volume: Krzysztof Ciesielski, Andrzej
Pelczar
CONTENS
Preface
Andrzej Pelczar, Introductory speech
PLENARY LECTURES
Jack K. Hale, Synchronization by diffusive coupling
Andrzej Lasota, Fractals and semifractals
Jean Mawhin, Bound sets and Flouquet boundary value problems for
nonlinear differential equations
Czesław Olech, On the Ważewski equation
Peter Seibert, Dynamical persistence principles and bifurcation
RESEARCH PAPERS
Zdzisław Denkowski, Stanisław Migórski, Optimal shape design for
hemivariational inequalities
Jose S. Florio, On the topological content of stability,
instability and persistence
Barnabas M. Garay, Some remarks on Ważewski's retract principle
Marian Gidea, The disrete Conley index for non-invariant sets
Wacław Marzantowicz, A note on the minimal periods of a
homeomorphism of compact surface
Marcin Mazur, Kinga Stolot, Jacek Tabor, Semi-hyperbolicity
implies hyperbolicity in the linear case
Dariusz Miklaszewski, The two-point problem for nonlinear ordinary
differential equations and differential inclusions
Gunter Ochs, Examples of random dynamical systems without random
fixed points
Leszek Pieniążek, The Conley index and retarded functional
differential equations
Andrejs Reinfelds, Dynamical equivalence of dynamical systems
Svitlana Rogovchenko, Yuri Rogovchenko, Asymptotics of solutions
for a class of second order nonlinear differential equations
Felix Sadyrbaev, Ważewski method and upper and lower functions for
higher order ordinary differential equations
SUMMARIES
Madjid Allili, Tomasz Kaczynski, Stability of index pairs for
flows
Giuseppe Anichini, Giuseppe Conti, About the existence of
solutions of a boundary value problem for a Carathéodory
differential system
Konstantin Athanassopoulos, Periodicity criteria of
Poincaré-Bendixson type
Wojciech Bartoszek, Tom Brown, On Frobenius-Perron operators which
overlap supports
Alexander A. Boichuk, Boundary-value problems for impulse
differential systems
Krzysztof Ciesielski, Stability in impulsive dynamical systems
Francesco S. de Blasi, Lech Górniewicz, Giulio Pianigiani,
Topological degree and periodic solutions of differential
inclusions
Fabio Fagnani, Alessandro Profeti, Invariant measures for random
dynamical systems over tori
Robert Feßler, The Ważewski retraction principle and a Poincaré
index formula
Zbigniew Galias, Piotr Zgliczyński, Chaos in the Lorenz equations
for classical parameter values. A computer assisted proof
Valery A. Gaiko, Application of topological methods to qualitative
investigation of two-dimensional polynomial dynamical systems
Diogo Aguiar Gomes, Integrability/Non-Integrability in vortices
dynamics
Wojciech Kryszewski, On a semilinear Schrödinger equation
Konstantin Mischaikow, Marian Mrozek, James F. Reineck, Singular
index pairs
Marian Mrozek, Algorithms and the Conley index theory
Martino Prizzi, Krzysztof P. Rybakowski, Some recent results on
chaotic dynamics of parabolic equations
Irena Rachůnková, Topological degree methods in functional
boundary value problems
Roman Srzednicki, On the Conley index over a base
Heinrich Steinlein, Periodic and almost periodic orbits in
discrete dynamical systems
Jacek Tabor, Oscillations in Banach spaces
Klaudiusz Wójcik, A geometric method for detecting chaotic
dynamics