Global existence and boundedness of solutions of a certain nonlinear integro-differential equation of second order with multiple deviating arguments
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Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we consider the global existence and boundedness of solutions for a certain nonlinear integro-differential equation of second order with multiple constant delays. We obtain some new sufficient conditions which guarantee the global existence and boundedness of solutions to the considered equation. The obtained result complements some recent ones in the literature. An example is given of the applicability of the obtained result. The main tool employed is an appropriate Lyapunov-Krasovskii type functional.
Açıklama
Anahtar Kelimeler
integro-differential equation, second order, global existence, boundedness, Lyapunov-Krasovskii type functional
Kaynak
Journal of Inequalities and Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
