M. N. Popa, V. V. Pricop

The Center and Focus Problem (eBook, ePUB)

Algebraic Solutions and Hypotheses

• Format: ePub

Produktbeschreibung

This book focuses on an old problem of the qualitative theory of differential equations, called the Center and Focus Problem. The book reflects the results obtained by the authors in the last decades.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 226
• Erscheinungstermin: 23. September 2021
• Englisch
• ISBN-13: 9781000426670
• Artikelnr.: 62386541

Autorenporträt

Popa Mihail Nicolae holds a Ph.D. from Gorky University (now Nizhny Novgorod, Russia). He has served as Director and Deputy Director of Vladimir Andrunachievici Institute of Mathematics and Computer Science (IMCS)) in the Laboratory of Differential Equations. He is Professor at the State University of Tiraspol (based in Chisinau). His scientific interests are related to the invariant processes in the qualitative theory of differential equations, Lie algebras and commutative graded algebras, generating functions and Hilbert series, orbit theory, and Lyapunov stability theory.

Pricop Victor Vasile holds a Ph.D. from Vladimir Andrunachievici Institute of Mathematics and Computer Science. He is professor at the State Institute of International Relations of Moldova. Victor Pricop's scientific interests are related to Lie algebras and graded algebras of invariants and comitants, generating functions and Hilbert series, and applications of algebras to polynomial differential systems.

Inhaltsangabe

1. Lie Algebra Of Operators Of Centro-Affine Group Representation In The
Coefficient Space Of Polynomial Differential Systems 2. Differential
Equations For Centro-Affine Invariants And Comitants Of Differential
Systems And Their Applications 3. Generating Functions And Hilbert Series
For Sibirsky Graded Algebras Of Comitants And Invariants Of Differential
Systems 4. Hilbert Series For Sibirsky Algebras And Krull Dimension For
Them 5. About The Center And Focus Problem 6. On The Upper Bound Of The
Number Of Algebraically Independent Focus Quantities That Take Part In
Solving The Center And Focus Problem For The System s(1,m1,...,m`) 7. On
The Upper Bound Of The Number Of Algebraically Independent Focus Quantities
That Take Part In Solving The Center And Focus Problem For Lyapunov System.
Bibliography Appendixes