Review Of Selected Publications Of Professor J. O. C. Ezeilo
Any attempt to classify the research works of Professor J.O.C. Ezeilo is a big job. Why? He had spent all his research life, (spanning over fifty-one years), in studying the qualitative properties of higher order nonlinear differential equation of orders 2,3,4,5,6, Nth order ( N odd and even) and systems in general. The qualitative properties studied covered many types of properties which include: Boundedness, Ultimate boundedness, Existence and Uniqueness results, Stability, Instability, periodicity, Oscillations, Resonance and Non-resonance, etc. While most of his life-long work was on the construction and use of Lyapunov functions, he spent the latter part of his life occasionally going into the use of topological degree methods and Leray Schauder techniques. These results initiated into higher order differential equations some well known results of the 2nd order, generalizing works of initiators in the subject, such as Cartwright (his Ph.D. supervisor), Barbashin, Loud, Erugin, Malkin, Krasovskii, Ogurcov, Reissig, Tejumola (his Ph.D. student), Pliss, Swick, Chow, Dunninger, among others.
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