Temat: system of ordinary differential equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On strongly monotone flows
Autorzy:: Walter, Wolfgang
Powiązania:: https://bibliotekanauki.pl/articles/1294817.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: system of ordinary differential equations
initial value problem
comparison theorem
monotone flow
quasimonotonicity
Opis:: M. Hirsch's famous theorem on strongly monotone flows generated by autonomous systems u'(t) = f(u(t)) is generalized to the case where f depends also on t, satisfies Carathéodory hypotheses and is only locally Lipschitz continuous in u. The main result is a corresponding Comparison Theorem, where f(t,u) is quasimonotone increasing in u; it describes precisely for which components equality or strict inequality holds.
Źródło:: Annales Polonici Mathematici; 1997, 66, 1; 269-274
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Smoothness of unordered curves in two-dimensional strongly competitive systems
Autorzy:: Mierczyński, Janusz
Powiązania:: https://bibliotekanauki.pl/articles/1338935.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: strongly competitive system of ordinary differential equations
invariant manifold
d-curve
Lotka-Volterra system
Opis:: It is known that in two-dimensional systems of ODEs of the form $\dotx^i=x^if^i(x)$ with ${\partial f^i}/{\partial x^j} < 0$ (strongly competitive systems), boundaries of the basins of repulsion of equilibria consist of invariant Lipschitz curves, unordered with respect to the coordinatewise (partial) order. We prove that such curves are in fact of class $C^1$.
Źródło:: Applicationes Mathematicae; 1998-1999, 25, 4; 449-455
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Design of linear feedback for bilinear control systems
Autorzy:: Belozyorov, V. Y.
Powiązania:: https://bibliotekanauki.pl/articles/908500.pdf
Data publikacji:: 2002
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: matematyka
system of ordinary quadratic differential equations
bilinear control system
linear control law
cone of stability
feedback
closed-loop system
Opis:: Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 493-511
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja