Asymptotic Solutions of Resonant Nonlinear Singularly Perturbed Problems in the Case of Intersecting Eigenvalues of the Limit Operator

Lomov’s regularization method is generalized to resonant, weakly nonlinear, singularly perturbed systems in the case of intersecting roots of the characteristic equation of the limit operator. For constructing asymptotic solutions, the regularization of the original problem by using normal forms dev...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-11, Vol.268 (1), p.1-14
Hauptverfasser:	Bobodzhanov, A. A., Safonov, V. F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Asymptotic methods Canonical forms Eigenvalues Eigenvectors Mathematics Mathematics and Statistics Regularization
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!