Existence of Solutions of Nonlinear Differential Equations with Nonlocal Conditions

Existence of Solutions of Nonlinear Differential Equations with Nonlocal Conditions

In this paper we investigate the existence of mild solutions to first order semilinear differential equations in Banach spaces with nonlocal conditions. We shall rely on a fixed point theorem for compact maps due to Schaefer.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical analysis and applications 2000-12, Vol.252 (1), p.477-483
Hauptverfasser: Benchohra, M., Ntouyas, S.K.
Format: Artikel
Sprache:eng
Schlagworte:
evolution
Exact sciences and technology
Mathematical analysis
Mathematics
mild solution
nonlocal condition
Ordinary differential equations
Sciences and techniques of general use
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper we investigate the existence of mild solutions to first order semilinear differential equations in Banach spaces with nonlocal conditions. We shall rely on a fixed point theorem for compact maps due to Schaefer.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.2000.7106