Zobrazeno 1 - 10
of 13
pro vyhledávání: '"P. O. Arawomo"'
Autor:
P. O. Arawomo, Paul A. Ogbiyele
Publikováno v:
Proyecciones (Antofagasta). 40:1615-1639
In this paper, we consider the asymptotic behavior of solution to the nonlinear damped wave equation utt – 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 prop
Autor:
P. A. Ogbiyele, P. O. Arawomo
Publikováno v:
Acta Applicandae Mathematicae. 170:443-458
In this paper, we consider nonlinear wave equations with dissipation having the form $$ u_{tt} - \text{div}\bigl(|\nabla u|^{\gamma -2} \nabla u \bigr) + b(t , x)|u_{t}|^{m-2} u_{t} = g(x , u) $$ for $(t, x)\in [0 , \infty )\times \mathbb{R}^{n}$ . W
Autor:
P. O. Arawomo, A. M. Ogunbanjo
Publikováno v:
Advances in Differential Equations and Control Processes. 22:109-119
Autor:
Paul A. Ogbiyele, P. O. Arawomo
Publikováno v:
Journal of Mathematical Analysis and Applications. 505:125529
In this paper, we consider the following viscoelastic wave equation { u t t − ( Δ u − ∫ 0 t g ( t − s ) Δ u ( s ) d s ) + b ( t , x ) u t + | u | p − 1 u = 0 , t > 0 , x ∈ R n u ( 0 , x ) = u 0 ( x ) , u t ( 0 , x ) = u 1 ( x ) , x ∈
Autor:
P. O. Arawomo, A. M. Ogunbanjo
Publikováno v:
Proyecciones (Antofagasta), Volume: 38, Issue: 3, Pages: 429-445, Published: AUG 2019
Proyecciones (Antofagasta) v.38 n.3 2019
SciELO Chile
CONICYT Chile
instacron:CONICYT
Proyecciones (Antofagasta) v.38 n.3 2019
SciELO Chile
CONICYT Chile
instacron:CONICYT
By using averaging functions, we present some new oscillation criteria for the solution of a generalized forced nonlinear conformable fractional differential equation. The results obtained here extend and improve on some existing results. Examples ar
Publikováno v:
Proyecciones (Antofagasta), Volume: 36, Issue: 2, Pages: 257-282, Published: JUN 2017
Proyecciones (Antofagasta) v.36 n.2 2017
SciELO Chile
CONICYT Chile
instacron:CONICYT
Proyecciones (Antofagasta) v.36 n.2 2017
SciELO Chile
CONICYT Chile
instacron:CONICYT
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
Autor:
A. M, OGUNBANJO, P. O, ARAWOMO
Publikováno v:
Journal of Fractional Calculus & Applications; Jan2022, Vol. 13 Issue 1, p115-122, 8p
Autor:
P. O. Arawomo, M.B. Akorede
Publikováno v:
International Journal of Apllied Mathematics. 30
Autor:
P. O. Arawomo, A. T. Ademola
Publikováno v:
Afrika Matematika. 23:261-271
In this paper, we use Lyapunov second method. A complete Lyapunov function was constructed and used to obtain criteria for boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of a nonlinear differential equation of the thi
Publikováno v:
Applied Mathematics and Computation. 216:3044-3049
Sufficient conditions for the existence of solutions to boundedness and ultimate boundedness problems associated to a certain third order nonlinear differential equation are given by means of the Lyapunov’s second method. The appropriate Lyapunov f