TY - JOUR AU - Ademola, A. T. AU - Arawomo, Peter Olutola AU - Idowu, A. S. PY - 2017/06/02 Y2 - 2024/03/29 TI - Stability, boundedness and periodic solutions to certain second order delay differential equations. JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 36 IS - 2 SE - DO - 10.4067/S0716-09172017000200257 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1645 SP - 257-282 AB - <p>Stability, boundedness and existence of a unique periodic solution to certain second order nonlinear delay differential equations is discussed. By employing Lyapunov's direct (or second) method, a complete Lyapunov functional is constructed and used to establish sufficient conditions, on the nonlinear terms, that guarantee uniform asymptotic stability, uniform ultimate boundedness and existence of a unique periodic solution. Obtained results complement many outstanding recent results in the literature. Finally, examples are given to show the effectiveness of our method and correctness of our results.</p> ER -