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Blow up for a viscoelastic wave equation with space-time potential in Rn
(2022-07) Ogbiyele, P. A.; Arawomo, P. O.
In this paper, we consider the following wave equation: with space-time dependent potential, where the initial data have compact support. Under suitable assumptions on the nonlinear function f, the relaxation function g and the damping potential b, we obtain blow up results using the perturbed energy method.
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.
Oscillation criteria for three dimensional nonlinear conformable fractional delay differential system with forcing terms
(2022-01) Ogunbanjo, A. M.; Arawomo, P. O.
In this paper, we study the oscillation of three dimensional non- linear conformable delay differential system with forcing terms. By using generalized Riccati transformation, conformable derivatives and some inequality based techniques, we obtain several oscillation criteria for the system. Furthermore, an example is given to authenticate our results.