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

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

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 …