New Qualitative Results for Solutions of Functional Differential Equations of Second Order


TUNÇ C. , Erdur S.

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1155/2018/3151742
  • Dergi Adı: DISCRETE DYNAMICS IN NATURE AND SOCIETY

Özet

In this paper, we are concerned with the existence of periodic solutions, stability of zero solution, asymptotic stability of zero solution, square integrability of the first derivative of solutions, and boundedness of solutions of nonlinear functional differential equations of second order by the second method of Lyapunov. We obtain sufficient conditions guaranteeing the existence of periodic solutions, stability of zero solution, asymptotic stability of zero solution, square integrability of the first derivative of solutions, and boundedness of solutions of the equations considered. We give an example for illustrations by MATLAB-Simulink, which shows the behaviors of the orbits. The findings of this paper extend and improve some results that can be found in the literature.