Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay

We study the existence of compact almost automorphic solutions for a class of integral equations with time-dependent and state-dependent delay. An application to a blowflies model and a transmission lines model is carried out to support the theoretical finding.

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Veröffentlicht in:	Advances in difference equations 2017-10, Vol.2017 (1), p.1-21, Article 307
Hauptverfasser:	Ait Dads, El Hadi, Boudchich, Fatima, Es-sebbar, Brahim
Format:	Artikel
Sprache:	eng
Schlagworte:	almost periodic and almost automorphic solutions Analysis Delay Difference and Functional Equations Functional Analysis Integral equations integral equations neutral equation lossless transmission lines Mathematical models Mathematics Mathematics and Statistics Nicholson’s model Nonlinear equations Ordinary Differential Equations Partial Differential Equations state-dependent delay Time dependence Transmission lines
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Beschreibung
Zusammenfassung:	We study the existence of compact almost automorphic solutions for a class of integral equations with time-dependent and state-dependent delay. An application to a blowflies model and a transmission lines model is carried out to support the theoretical finding.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-017-1364-2