The character of operational successive approximations

The method of successive approximations in the field of Mikusiński operators is applied for the construction of the approximate solution of a class of nonlinear differential equations. The character of these operational approximations is analyzed, and sufficient conditions for the type I convergence...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Nonlinear analysis 2005-05, Vol.61 (4), p.503-515
Hauptverfasser:	TAKACI, Durdica, TAKACI, Arpad
Format:	Artikel
Sprache:	eng
Schlagworte:	Character of the approximate solutions Exact sciences and technology Integral transforms, operational calculus Integro–differential equations Mathematical analysis Mathematics Mikusiński operators Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Sciences and techniques of general use
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	The method of successive approximations in the field of Mikusiński operators is applied for the construction of the approximate solution of a class of nonlinear differential equations. The character of these operational approximations is analyzed, and sufficient conditions for the type I convergence to the exact solution are given. The error of approximation is estimated.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2004.11.008