scholarly works
Permanent URI for this collectionhttps://repository.ui.edu.ng/handle/123456789/410
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Item A VECTOR MATRIX APPROACH OF COUNTING CYCLIC QUOTIENTS OF SOME ABELIAN P-GROUPS(2009) Enioluwafe, M.We determine in this paper, the precise number of cyclic quotients of Abelian p-groups of exponent p i and rank r > 1, i = 1, 2, . . . , n for all natural numbers nItem G-Theory of Group Rings for Groups of ElementsAbelian p-Groups(Department of Mathematics, University of Ibadan, 2009) EniOluwafe M.The formula for the G— theory of the group ring of a finite group G given by H. co. Lenstra is shown to be valid for groups of elementary abelian P— groups. Keywords: Group rings , G— theoryItem Vectorial Mechanics(Distance Learning Centre, University of Ibadan, 2008) EniOluwafe M.Vectors in space are the three-dimensional analog of vectors in the plane and are sub ject to the same rules of addition, subtraction, and scalar multiplication that govern vectors in the plane. We shall discuss length or magnitude and direction of vectors.Item Algebra 1(Distance Learning Centre, University of Ibadan, 2008) EniOluwafe M.We shall expose the meaning of a set and state the different ways of naming a set. We shall also reveal the different types of sets, subsets, equality of sets and the universe of discourse. We shall then interact various sets which belong to the same universe, using the definitions of union, intersection, power set, complements, relative complements and symmetric difference to form new sets. Geometry representation of sets shall be presented in the form of Venn diagrams which will then be used in solving problems on sets. We also study some similarities of algebra of numbers to algebra of set theory and give a theorem on the number of elements in setsItem On the behaviour of solutions for a class of third order neutral delay differential equations(2019) Ademola, T. A.; Mahmoud, A. M.; Arawomo, P. O.In this paper, a new class of third order nonlinear neutral delay differential equations is discussed. By reducing the third order nonlinear neutral delay differential equations to systems of first order, the second method of Lyapunov is engaged by constructing a complete Lyapunov functional and used to establish criteria that guarantee uniform asymptotic stability of the trivial solution and uniform ultimate boundedness of solutions. The obtained results are not only new but also include many outstanding results in the literature. Finally, the correctness and effectiveness of the obtained results are justified with examples.Item Oscillation of solutions to a generalized forced nonlinear conformable fractional differential equation(2019) Ogunbanjo, A.; Arawomo, P.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 are also given to show the validity of our results.Item Hyers-ulam stability of a perturbed generalised lienard equation(Academic Publications, Ltd., 2019) Fakunle, I.; Arawomo, P. O.In this paper, we consider the Hyers-Ulam stability of a perturbed generalized Lienard equation, using a nonlinear extension of Gronwall-Bellman integral inequality called the Bihari integral inequality.Item On hyers-ulam stability of nonlinear second order ordinary and functional differential equations(Academic Publications, Ltd., 2018) Fakunle, I.; Arawomo, P. O.In this paper, we consider the Hyers-Ulam stability of some nonlinear second order ordinary and functional differential equations. As mathematical technique, we use some nonlinear extension of the Gronwall integral inequality.Item Hyers-ulam stability of certain class of nonlinear second order differential equations(Research India Publications, 2018) Fakunle, I.; Arawomo, P. O.We investigate the Hyers-Ulam stability of certain classes of nonlinear second order differential equations using a nonlinear generalisation of Gronwall-Bellman integral inequality known as Bihari integral inequality.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.