The Existence and Uniqueness of Periodic Solutions for Some Nonlinear n th‐Order Differential Equations

The Existence and Uniqueness of Periodic Solutions for Some Nonlinear n th‐Order Differential Equations

The nonlinear n th-order differential equations are considered. By using inequality techniques and coincidence degree theory, some criteria are obtained to guarantee the existence and uniqueness of T -periodic solutions for the equations. The obtained results are also valid and new for the problem d...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Abstract and applied analysis 2012-01, Vol.2012 (1)
Hauptverfasser: Zhou, Qiyuan, Gong, Shuhua
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Differential equations
Education
Grants
Inequalities
Inequality
Mathematical analysis
Nonlinearity
Science
Studies
Uniqueness
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The nonlinear n th-order differential equations are considered. By using inequality techniques and coincidence degree theory, some criteria are obtained to guarantee the existence and uniqueness of T -periodic solutions for the equations. The obtained results are also valid and new for the problem discussed in the previous literature. Moreover, two illustrative examples are provided to illustrate the effectiveness of our results.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/909387