Opuscula Mathematica
Loading...
ISSN 1232-9274
e-ISSN: 2300-6919
Issue Date
2008
Volume
Vol. 28
Number
No. 4
Description
Journal Volume
Opuscula Mathematica
Vol. 28 (2008)
Projects
Pages
Articles
Professor Andrzej Lasota - a biographical note
(2008) Myjak, Józef
Andrzej Lasota's selected results
(2008) Myjak, Józef
In this article we recall Andrzej Lasota's selected results which either indicated new directions of research, or layed the foundations for new approaches, or solved interesting problems. The area of mathematical interests of Professor Andrzej Lasota was very large: ordinary differential equations, partial differential equations, dynamical systems, multifunctions, differential inclusions, functional differential equations, equations with retarded arguments, ergodic theory, invariant measures, chaos, stochastic differential equations, control theory, fixed point theory, theory of Markov operators, theory of fractals, theory of dimensions, biomathematics. In all these branches he obtained original and essential results.
The work of professor Andrzej Lasota on asymptotic stability and recent progress
(2008) Bartoszek, Wojciech
The paper is devoted to Professor Andrzej Lasota's contribution to the ergodic theory of stochastic operators. We have selected some of his important papers and shown their influence on the evolution of this topic. We emphasize the role A. Lasota played in promoting abstract mathematical theories by showing their applications. The article is focused exclusively on ergodic properties of discrete stochastic semigroups $\{P^n : n \geq 0\}$. Nevertheless, almost all of Lasota's results presented here have their one-parameter continuous semigroup analogs.
Professor Andrzej Lasota's theories in engineering
(2008) Rusek, Piotr
Professor Lasota's achievements in the field of engineering are based on two principal aspects: profound theoretical backgrounds and perfect knowledge of phenomenological processes. That allowed him to solve many different problems of engineering.