Almost periodic solutions for a class of fourth-order nonlinear differential equations with a deviating argument

Almost periodic solutions for a class of fourth-order nonlinear differential equations with a deviating argument

This paper considers the fourth-order nonlinear differential equations with a deviating argument. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established, which are new and complement previously known results.

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Veröffentlicht in:Computers & mathematics with applications (1987) 2010-09, Vol.60 (5), p.1184-1190
Hauptverfasser: Xiong, Wanmin, Yue, Guangxue
Format: Artikel
Sprache:eng
Schlagworte:
Almost periodic solutions
Complement
Deviating argument
Differential equations
Exponential stability
Four-order nonlinear differential equation
Mathematical models
Nonlinearity
Stability
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Beschreibung
Zusammenfassung:This paper considers the fourth-order nonlinear differential equations with a deviating argument. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established, which are new and complement previously known results.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2010.05.042