scholarly works

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Units of burnside rings of cyclic groups
(Faculty of Science, University of Ibadan, Nigeria, 1999) Alawode, M. A.
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.
Units of burnside rings of elementary abelian 2-groups
(Academic Press, 2001) Alawode, M. A.
A connection between units of burnside rings and the exterior algebra of elementary abelian 2-groups
(Academic Press, 2001) Alawode, M. A.
An interval analytic method in constructive existence theorems for initial value problems
(Dynamic Publishers, 2002) Arawomo, P. O.; Akinyele, O.
The method of interval analysis is employed to show that the solution, if it exists, of a first order initial value problem is majorised by an interval function whose end- functions satisfy some prescribed conditions. An interval operator is constructed and shown to be a contraction on the majorising interval function. Using this operator, the existence and uniqueness of the solution is established.
On the number of cyclic quotients of some abelian p-groups
(2007-11) EniOluwafe, M.
We determine in this paper, the precise number of cyclic quotients of Abelian p-groups of exponent p and rank r > 1; / = 1 and 2
Stability results for the solutions of a certain third order nonlinear differential equation
(Global Publishing Company, 2008) Ademola, T. A.; Ogundiran, M. O.; Arawomo, P. O.; Adesina, O. A.
The paper is concerned with the uniform asymptotic stability for all solutions of a third order nonlinear differential equation (1.1). Sufficient conditions under which all solutions x(t), its first and second derivatives tend to zero as t —∞ are given
On the stability and ultimate boundedness of solutions for certain third order differential equations
(Science Publications, 2008) Ademola, T. A.; Arawomo, P. O.
With respect to our observation in the relevant literature, work on stability and boundedness of solution for certain third order nonlinear differential equations where the nonlinear and the forcing terms depend on certain variables are scare. The objective of this study was to get criteria for stability and boundedness of solutions for these classes of differential equations. Approach: Using Lyapunov second or direct method, a complete Lyapunov function was constructed and used to obtain our results. Results: Conditions were obtained for: (i) Uniform asymptotic stability and, (ii) Uniform ultimate boundedness, of solutions for certain third order non-linear non-autonomous differential equations. Conclusion: Our results do not only bridge the gap but extend some well-known results in the literature.
On the precise order of unit groups of burnside rings of some finite abelian group
(2008-05) EniOluwafe, M.
We determine the precise order of B * (G), for G = ©i Gi, a bounded abelian 2-group, where G, is a direct sum of r copies of a cyclic group of order 2". The cases r = 1 and r = k, for some natural number k, are respectively considered in this paper.
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.
Interval valued extension of wendroff type integral inequalities
(Elsevier, 2009) Arawomo, P. O.
In this paper we extend the theory of integral inequalities to interval valued mappings in two independent variables. By this, set inclusions are used instead of partial order relation and this enables us to obtain simultaneous upper and lower bounds instead of a pair of inequalities.
G-theory of group rings for groups of elementary abelian p-groups
(2009) EniOluwafe, M.
Stability and ultimate boundedness of solutions to Certain third-order differential equations
(2010) Ademola, T. A.; Arawomo, P. O.
We employ Lyapunov’s second method to investigate uniform asymptotic stability, ultimate boundedness and uniform ultimate boundedness of solutions to certain third-order non-linear differential equations. Our results improve some well-known results in the literature.
Stability and uniform ultimate boundedness of solutions of a third-order differential equation
(Academic Publications, 2010) Ademola, T. A.; Arawomo, P. O.
This paper is concerned with uniform ultimate boundedness of solutions of a third-order nonlinear differential equation (1.1). Sufficient conditions under which all solutions x(t), its first and second derivatives tend to zero as t —∞, when p(t,x,x',x") = 0, are presented.
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.
An Interval Analytic method for a nonlinear boundary value problem describing transport process
(Academic Publications Ltd., 2010-05) Arawomo, P. O.
In recent times, the methods of interval analysis have been successfully employed to establish existence results for the solution of initial value problems. In this paper, we extend the methods to establish existence of solution for a special boundary value problem. A particular case of this problem describes equations arising in transport process
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.
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.
Stability and uniform ultimate boundedness of solutions of some third-order differential equations
(Nyregyhazi Foiskola/College of Nyregyhaza, 2011) Ademola, T. A.; Arawomo, P. O.
The paper is concerned with the stability and uniform ultimate boundedness for all solutions of a third order nonlinear differential equations (1.1). Sufficient conditions under which all solutions x(t), its first and second derivatives tend to zero as t → ∞ are given.
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.