Mathematics
Permanent URI for this communityhttps://repository.ui.edu.ng/handle/123456789/357
Browse
Item Asymptotic behaviour of solutions of third order nonlinear differential equations(2011) Ademola, T. A.; Arawomo, P. O.In this paper, Lyapunov direct method was employed. We present criteria for all solutions x(t) its first and second derivatives of the third order nonlinear non autonomous differential equations to con- verge to zero as t → ∞. Sufficient conditions are also established for the boundedness and uniform ultimate boundedness of solutions of the equations considered. Our results revise, improve and generalize existing results in the literature.Item 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.Item Boundedness and asymptotic behaviour of solutions of a nonlinear differential equation of the third order(2012) Ademola, T. A.; Arawomo, P. O.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 third order. Our results revise, improve and extend existing results on boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of third order nonlinear differential equations in the literature.Item Boundedness and stability of solutions of some nonlinear differential equations of the third-order(2009) Ademola, T. A.; Arawomo, P. O.Sufficient conditions are established for the uniform ultimate boundedness of solutions of a third-order nonlinear differential equation (1). When, p(t,x,x',x")=0, criteria under which all solutions x(t), its first and second derivatives tend to zero as t→∞, are given.Item Boundedness results for a certain third order nonlinear differential equation(Elsevier Inc., 2010) Ademola, T. A.; Ogundiran, M. O.; Arawomo, P. O.; Adesina, O. A.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 function is given explicitly. Our results complement some well known results on the third order differential equations in the literature.Item Classifying a class of the fuzzy subgroups of the alternating groups A(n)(2017) Ogiugo, M. E.; EniOluwafe, M.The aim of this paper is to classify the fuzzy subgroups of the alternating group. First, an equivalence relation on *the set of all fuzzy subgroups of a group G is defined. Without any equivalence relation on fuzzy subgroups of group G, the number of fuzzy subgroups is infinite, even for the trivial group. Explicit formulae for the number of distinct fuzzy subgroup of finite alternating group are obtained in the particular case n = 5. Some inequalities satisfied by this number are also established for n≥ 5.Item Classifying fuzzy subgroups of certain dihedral group D2p5(2019) Olayiwola, A.; EniOluwafe, M.In this paper, we give an explicit formula for counting the number of distinct fuzzy sub-groups of dihedral group D2ps for any prime(p) and any integer s≥1. This we achieved using the algorithm described on the most recent equivalence relation ≈ known in the literature to classify fuzzy groups.Item Combinatorics of counting distinct fuzzy subgroups of certain dihedral group(2019) Olayiwola, A.; EniOluwafe, M.This paper is devoted to counting distinct fuzzy subgroups (DFS) of finite dihedral group D2n, where n is a product of finite number of distinct primes, with respect to the equivalence relation ≈ . This counting has connections with familiar integer sequence called ordered Bell numbers. Furthermore, a recurrence relation and generating function was derived for counting DFS of D2n.Item Computing the number of distinct fuzzy subgroups for the nilpotent p-group of D2n x C4.(2020-03) Adebisi, S. A.; Ogiugo, M.; EniOluwafe, M.In this paper, the explicit formulae is given for the number of distinct fuzzy subgroups of the cartesian product of the dihedral group of order 2n with a cyclic group of order four, where n > 3.Item A connection between units of burnside rings and the exterior algebra of elementary abelian 2-groups(Academic Press, 2001) Alawode, M. A.Item Counting subgroup formula for the groups formed by cartesian Product of the generalized quaternion group with cyclic group of order two("National Mathematical Centre, Abuja & Department of Mathematics, University of Ibadan, Ibadan, NIGERIA", 2015) EniOluwafe, M.The main goal of this note is to determine an explicit formula of finite group formed by taking the Cartesian product of the generalized quaternion group of two power order with a order two cyclic groupItem Counting subgroups of finite non-metacyclic 2-groups having no elementary abelian subgroup of order(2014-10) EniOluwafe, M.The aim of this note is to give an explicit formula for the number of subgroups of finite nonmetacyclic 2-groups having no elementary abelian subgroup of order 8.Item Counting subgroups of nonmetacyclic groups of type: D2(n-1) x C2 , n ≥ 3(2015) EniOluwafe, M.The main goal of this note is to determine an explicit formula of finite group formed by taking the Cartesian product of the dihedral group of two power order with a order two cyclic groupItem Determining the number of distinct fuzzy subgroups for the abelian structure Z4 x Z2n-1 ,n > 2(2020) Adebisi, S.A.; Ogiugo, M.; EniOluwafe, M.The problem of classification of fuzzy subgroups can be extended from finite p-groups to finite nilpotent groups. Accordingly, any finite nilpotent group can be uniquely written as a direct product of p-groups. In this paper, we give explicit formulae for the number of distinct fuzzy subgroups of the Cartesian product of two abelian groups of orders 2n−1 and 4 respectively for every integer n >2.Item 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.Item Exhibition of normal distribution in finite p-groups(Scientific & Academic Publishing, 2017) Adebisi, A. S.; EniOluwafe, M.Suppose that G is a group of order m p and n ≤ m. Let Sn(G) be the number of subgroups of order p n in G. Then, the number of subgroups of order pn is normally distributed with respect to n, where n is a positive integer.Item Existence and Blow up Time Estimate for a negative initial energy solution of a nonlinear cauchy problem(Springer Nature B.V., 2020-06) Ogbiyele, P. A.; Arawomo, P. O.In this paper, we consider nonlinear wave equations with dissipation having the form utt −div_(|∇u|γ−2∇u)+b(t, x)|ut |m−2ut = g(x,u) for (t, x) ∈ [0,∞) × Rn. We obtain existence and blow up results under suitable assumptions on the positive function b(t, x) and the nonlinear function g(x,u). The existence result was obtained using the Galerkin approach while the blow up result was obtained via the perturbed energy method. Our result improves on the perturbed energy technique for unbounded domains.Item Existence of positive solutions for a coupled system of nonlinear boundary value problems of fractional order with integral boundary conditions(Academic Publications, 2017) Akorede, M. B.; Arawomo, P. O.In this work, we discuss the existence of positive solutions for a coupled system of nonlinear boundary value problems of fractional order with integral boundary conditions. The existence result is obtained by means of Krasnosel’skii fixed-point theorem in a cone.Item Existence results for some interval differential equations(American Mathematical Society, 2000) Arawomo, P. O.This paper is concerned with the problem of existence of solutions to interval differential equations which result from attempts to provide a concide interval solution to some differential equations with inexact data or parameters contained in an interval. An extension of the interval iterative scheme of Moore is used to establish the main results which include those of Sveloslav Merkov’s.Item An explicit formula for the number of distinct fuzzy subgroups of the cartesian product of the dihedral group of order 2n with a cyclic group of order 2(Pushpa Publishing House, Prayagraj, India, 2020) Adebisi, S. A.; EniOluwafe, M.The problem of classification of fuzzy subgroups can be extended from finite p-groups to finite nilpotent groups. Accordingly, any finite nilpotent group can be uniquely written as a direct product of p-groups. In this paper, we give explicit formulae for the number of distinct fuzzy subgroups of the Cartesian product of the dihedral group of order 2n with a cyclic group of order 2.