TY - JOUR AU - Adams, Daniel AU - Omeike, Mathew AU - Osinuga, Idowu AU - Badmus, Biodun PY - 2023/04/24 Y2 - 2024/03/29 TI - On the Stability and Boundedness of Solutions of Certain Kind of Second Order Delay Differential Equations: On the Stability and Boundedness JF - Journal of the Nigerian Mathematical Society JA - JNMS VL - 42 IS - 1 SE - Articles DO - UR - https://ojs.ictp.it/jnms/index.php/jnms/article/view/877 SP - 49 - 59 AB - <p>In this paper, we study the second order non-autonomous nonlinear delay differential equation <br>$$x^{\prime\prime} + b(t)g(x,x^\prime) + c(t)h(x(t-r))m(x^\prime) = p(t,x,x^\prime)$$<br>for asymptotic stability of solutions when $p(t,x,x^\prime) = 0$ and the boundedness of solutions when $p(t,x,x^\prime) eq 0.$ This work improved on some earlier results in the literature.</p> ER -