scholarly http://ir.library.ui.edu.ng/handle/123456789/410 2025-09-27T08:47:26Z 2025-09-27T08:47:26Z Ogbiyele, P. A. Arawomo, P. O. http://ir.library.ui.edu.ng/handle/123456789/8117 2023-03-21T13:52:14Z 2022-07-01T00:00:00Z

Title: Blow up for a viscoelastic wave equation with space-time potential in Rn Authors: Ogbiyele, P. A.; Arawomo, P. O. Abstract: 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.

2022-07-01T00:00:00Z Ogbiyele, P. A. Arawomo, P. O. http://ir.library.ui.edu.ng/handle/123456789/8116 2023-03-21T13:47:35Z 2022-01-01T00:00:00Z

Title: Energy decay for a viscoelastic wave equation with space-time potential in Rn Authors: Ogbiyele, P. A.; Arawomo, P. O. Abstract: 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.

2022-01-01T00:00:00Z Ogunbanjo, A. M. Arawomo, P. O. http://ir.library.ui.edu.ng/handle/123456789/8115 2023-03-21T13:36:49Z 2022-01-01T00:00:00Z

Title: Oscillation criteria for three dimensional nonlinear conformable fractional delay differential system with forcing terms Authors: Ogunbanjo, A. M.; Arawomo, P. O. Abstract: 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.

2022-01-01T00:00:00Z Ogbiyele, P. A. Arawomo, P. O. http://ir.library.ui.edu.ng/handle/123456789/8114 2023-03-21T13:30:01Z 2021-12-01T00:00:00Z

Title: On asymptotic behavior of solution to a nonlinear wave equation with space-time speed of propagation and damping terms Authors: Ogbiyele, P. A.; Arawomo, P. O. Abstract: In this paper, we consider the asymptotic behavior of solution to the nonlinear damped wave equationutt − div¡a(t, x)∇u¢+ b(t, x)ut = −|u|p−1u t ∈ [0, ∞), x ∈ Rn u(0, x) = u0(x), ut(0, x) = u1(x) x ∈ Rn with space-time speed of propagation and damping potential. We obtained L2 decay estimates via the weighted energy method and under certain suitable assumptions on the functions a(t, x) and b(t, x). The technique follows that of Lin et al.[8] with modification to the region of consideration in Rn. These decay result extends the results in the literature.

2021-12-01T00:00:00Z