scholarly works
Permanent URI for this collectionhttps://repository.ui.edu.ng/handle/123456789/410
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Item 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.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 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 givenItem 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.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 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.Item 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.Item 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 2Item A connection between units of burnside rings and the exterior algebra of elementary abelian 2-groups(Academic Press, 2001) Alawode, M. A.Item Units of burnside rings of elementary abelian 2-groups(Academic Press, 2001) Alawode, M. A.