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

Cemil Tunç, Sultan Erdur

Type: Article

Publication Date: 2018-10-09

Citations: 11

DOI: https://doi.org/10.1155/2018/3151742

Abstract

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.

Locations

Discrete Dynamics in Nature and Society - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View

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+	Periodic solutions for second order differential equations	2005	Fuzhong Cong
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+	Convergence to non-autonomous differential equations of second order	2014	Erdal Korkmaz Cemil Tunç
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