On the Global Existence and Boundedness of Solutions of a Certain Integro-Vector Differential Equation of Second Order


Creative Commons License

TUNÇ C. , Ayhan T.

JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES, cilt.50, ss.1-12, 2018 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 50 Konu: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.5614/j.math.fund.sci.2018.50.1.1
  • Dergi Adı: JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES
  • Sayfa Sayıları: ss.1-12

Özet

In this paper, we consider a nonlinear integro-vector differential equation of the second order. We establish sufficient conditions that guarantee the global existence and boundedness of solutions of the equation considered. The method of proof involves constructing a suitable Lyapunov functional that gives meaningful results for the problem to be investigated. The result obtained is new and complements that found in the literature. We give an example to verify the result obtained and for illustration purposes. Using MATLAB-Simulink, the behaviors of the orbits of the equation considered are clearly shown.