Global existence and boundedness of solutions of a certain nonlinear integro-differential equation of second order with multiple deviating arguments

TUNÇ, Cemil; Ayhan, Timur

doi:10.1186/s13660-016-0987-2

Global existence and boundedness of solutions of a certain nonlinear integro-differential equation of second order with multiple deviating arguments

Atıf İçin Kopyala

TUNÇ C., Ayhan T.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası:
Basım Tarihi: 2016
Doi Numarası: 10.1186/s13660-016-0987-2
Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

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.