New results on positive almost periodic solutions for first-order neutral differential equations

In this paper, a class of first-order neutral differential equations with time-varying delays and coefficients is considered. Some results on the existence of positive almost periodic solutions for the equations are obtained by using the contracting mapping principle and the differential inequality...

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Veröffentlicht in:	Advances in difference equations 2018-05, Vol.2018 (1), p.1-6, Article 192
Hauptverfasser:	Yu, Yuehua, Gong, Shuhua
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Difference and Functional Equations Differential equations First order Functional Analysis Mathematical analysis Mathematics Mathematics and Statistics Neutral differential equation Ordinary Differential Equations Partial Differential Equations Positive almost periodic solution
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Beschreibung
Zusammenfassung:	In this paper, a class of first-order neutral differential equations with time-varying delays and coefficients is considered. Some results on the existence of positive almost periodic solutions for the equations are obtained by using the contracting mapping principle and the differential inequality technique. In addition, an example is given to illustrate our results.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-018-1648-1