Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 2006

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: teoria niezmienniczości

Sortuj według:

Ogranicz wyniki do:

An equivalent matrix pencil for bivariate polynomial matrices

Boudellioua M. S.

International Journal of Applied Mathematics and Computer Science

2006

Vol. 16, no 2

175-181

In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini’s type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.

On support and invariance theorems for a stochastic system of Burgers equtions

Nowak A., Twardowska K.

Demonstratio Mathematica

2006

Vol. 39, nr 3

691-710

We prove a support theorem for a stochastic version of the Burgers system formulated for the deterministic case by Burgers in [Bu 39]. The existence and uniqueness theorem for such a stochastic system was given by Zabczyk and Twardowska in [TZ 06]. In the proof of our support theorem we use a Wong-Zakai type theorem for such a system proved by Nowak in [No 05]. We generalize the method of Mackevicius ([Ma 85]}, [Ma 86]) and Gyongy ([Gy 89]) to prove the support theorem for our stochastic system of Burgers equations. We also use some considerations from Twardowska [Tw 97a]. In our proof of the invariance theorem we use some result of Jachimiak from [Ja 98].