A NOTE ON VOLTERRA INTEGRAL EQUATIONS WITH POWER NONLINEARITY

A NOTE ON VOLTERRA INTEGRAL EQUATIONS WITH POWER NONLINEARITY

In the paper the existence of nontrivial solutions to integral Volterra equations with the power nonlinearity is studied. The behavior of nontrivial solutions near origin is considered.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The Journal of integral equations and applications 2006-12, Vol.18 (4), p.509-519
Hauptverfasser: NIEDZIELA, M., OKRASIŃSKI, W.
Format: Artikel
Sprache:eng
Schlagworte:
45D05
45G10
45M05
45M20
Continuous functions
Differential equations
existence of nontrivial solutions
Inverse functions
Mathematical functions
Mathematical inequalities
Mathematical integrals
Nonlinear Volterra integral equation
Nonlinearity
Nontrivial solutions
power nonlinearity
Volterra equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In the paper the existence of nontrivial solutions to integral Volterra equations with the power nonlinearity is studied. The behavior of nontrivial solutions near origin is considered.
ISSN:0897-3962
1938-2626
DOI:10.1216/jiea/1181075408