Wyniki wyszukiwania - BazTech

1

Schauder’s fixed-point theorem in approximate controllability problems

Babiarz A., Klamka J., Niezabitowski M.

International Journal of Applied Mathematics and Computer Science

|

2016

|

Vol. 26, no. 2

263--275

EN

The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder’s fixed-point theorem. We describe the results of approximate controllability for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions, impulsive neutral functional evolution integro-differential systems, stochastic impulsive systems with control-dependent coefficients, nonlinear impulsive differential systems, and evolution systems with nonlocal conditions and semilinear evolution equation.

2

Banach fixed-point theorem in semilinear controllability problems – a survey

Klamka J., Babiarz A., Niezabitowski M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

|

2016

|

Vol. 64, nr 1

21--35

EN

The main aim of this article is to review the existing state of art concerning the complete controllability of semilinear dynamical systems. The study focus on obtaining the sufficient conditions for the complete controllability for various systems using the Banach fixedpoint theorem. We describe the results for stochastic semilinear functional integro-differential system, stochastic partial differential equations with finite delays, semilinear functional equations, a stochastic semilinear system, a impulsive stochastic integro-differential system, semilinear stochastic impulsive systems, an impulsive neutral functional evolution integro-differential system and a nonlinear stochastic neutral impulsive system. Finally, two examples are presented.

3

Problem odwrotny dla równania parabolicznego w przestrzeni nieskończenie wymiarowej

Koroński J.

Czasopismo Techniczne. Nauki Podstawowe

|

2009

|

R. 106, z. 1-NP

77-84

PL

W artykule skonstruowano jawne rozwiązanie odwrotnego problemu parabolicznego (1)-(3) w nieskończenie wymiarowej przestrzeni kartezjańskiej.

EN

In this article we construct an explicit solution to the inverse initial-value parabolic problem (1)-(3) in the infinite dimensional Cartesian space.

4

Twierdzenie o zerach w przestrzeniach nieskończenie wymiarowych

Mozyrska D.

Zeszyty Naukowe Politechniki Białostockiej. Matematyka, Fizyka, Chemia

|

1999

|

Z. 19

25-35

PL

Zdefiniowano kiełki funkcji i kiełki zer ideałów w przestrzeniach nieskończenie wymiarowych. Rozważane funkcje zależą od różnych skończonych zespołów zmiennych. Udowodnione zostało rzeczywiste analityczne twierdzenie o zerach w takich przestrzeniach.

EN

Definitions of functions and germs of zeros of ideals in infinite - dimensional spaces were introduced. Considered functions depend on different finite collections of variable. A real analytic theorem of zeros in such spaces was proved.