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Energy decay for a viscoelastic wave equation with space-time potential in Rn
(Elsevier Inc., 2022) Ogbiyele, P. A.; Arawomo, P. O.
In this paper, we consider the following viscoelastic wave equation with space-time dependent potential and where the initial data u0(x), u1(x)have compact support. Under suitable assumptions on the relaxation function g and the potential b, we obtain a more general energy decay result using the perturbed energy method.
Stability, boundedness and asymptotic behaviour of solutions of certain nonlinear differential equations of the third order
(2011) Ademola, T. A.; Arawomo, P. O.
Criteria are established for uniform asymptotic stability, boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of certain third order nonlinear differential equations with the restoring nonlinear terms depend on t and multiplied by functions of t. By constructing a complete Lyapunov function, Lyapunov second method, the technique of Antoisewicz [8] and the limit point of Yoshizawa [22] are employed to obtain the results. Recent results on third order nonlinear differential equations and the results which have been discussed in [16] are special cases of our results.