@oauife.edu.ng
Reader in Department of Mathematics/Science
Obafemi Awolowo University,Ile-Ife
Qualitative and quantitative properties of solutions of differential equations,
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
B. O. S. BIAOU, A. O. Oluwatope, and B. S. Ogundare
Springer Nature Switzerland
Ayodeji Olalekan Salau, Thomas Kokumo Yesufu, and Babatunde Sunday Ogundare
Elsevier BV
A.A. Aderogba, O.O. Fabelurin, S.O. Akindeinde, A.O. Adewumi, and B.S. Ogundare
Elsevier BV
A.O. Adewumi, S.O. Akindeinde, A.A. Aderogba, and B.S. Ogundare
Elsevier BV
B. S. Ogundare, A. T. Ademola, M. O. Ogundiran, and O. A. Adesina
Springer Science and Business Media LLC
A. T. Ademola, B. S. Ogundare, M. O. Ogundiran, and O. A. Adesina
Hindawi Limited
The behaviour of solutions to certain second order nonlinear delay differential equations with variable deviating arguments is discussed. The main procedure lies in the properties of a complete Lyapunov functional which is used to obtain suitable criteria to guarantee existence of unique solutions that are periodic, uniformly asymptotically stable, and uniformly ultimately bounded. Obtained results are new and also complement related ones that have appeared in the literature. Moreover, examples are given to illustrate the feasibility and correctness of the main results.
J.G. Alaba and B.S. Ogundare
University Library in Kragujevac
In this paper, sufficient criteria for the existence of solutions to uniform asymptotic stability and boundedness problems associated with certain second order nonlinear non autonomous ordinary differential equation are established with the aid of Lyapunov's direct method. Furthermore, the appropriate complete Lyapunov function is given explicitly. Our results complement some well known results on the second order differential equations in the literature.
A. T. Ademola, B. S. Ogundare, M. O. Ogundiran, and O. A. Adesina
Hindawi Limited
The behaviour of solutions for certain third-order nonlinear differential equations with multiple deviating arguments is considered. By employing Lyapunov’s second method, a complete Lyapunov functional is constructed and used to establish sufficient conditions that guarantee existence of unique solutions that are periodic, uniformly asymptotically stable, and uniformly ultimately bounded. Obtained results not only are new but also include many outstanding results in the literature. Finally, the correctness and effectiveness of the results are justified with examples.
J.G. Alaba and B.S. Ogundare
Academic Publications
In this study, we established sufficient criteria for uniformasymp- totic stability and boundedness of solutions of certain class of second order nonlinear non autonomous ordinary differential equations using a complete Lya- punov function. Our results extend some existing one in the literature.
B.S. Ogundare and G.E. Okecha
Science Publications
New scheme for solving initial value problem of ordinary differential equation was derived. Starting from the general method of deriving the spline function, the scheme was developed based on interpolation and collocation.