James O. C. Ezeilo

James Okoye Chukuka Ezeilo (17 January 1930 – January 2013^[1]) was the first professor of mathematics in Nigeria. He was often regarded as the father of modern mathematics in the country^[2] and was the fifth vice chancellor of the University of Nigeria, Nsukka. He was Vice Chancellor of Bayero University Kano from 1977 to 1978. He was an alumnus of Dennis Memorial Grammar School, Onitsha and Cambridge University and died in 2013.^[3]

BornJanuary 17, 1930

Nanka, Anambra State, Nigeria

Died2013 (aged 78–79)

Lagos, Nigeria

Alma materUniversity of Cambridge

DisciplineMathematics

Quick facts Born, Died ...

James O. C. Ezeilo
Born	(1930-01-17)January 17, 1930 Nanka, Anambra State, Nigeria
Died	2013(2013-00-00) (aged 78–79) Lagos, Nigeria

Academic background
Alma mater	University of Cambridge
Academic work
Discipline	Mathematics
Sub-discipline	Ordinary differential equations
Institutions	University College Ibadan University of Nigeria, Nsukka Bayero University, Kano

Close

Ezeilo was born in Nanka, a town in Anambra State.^[4]

Research

Ezeilo pioneered the use of Leray-Schauder degree type arguments to obtain existence results for periodic solutions of ordinary differential equations.^[5]

Third-order ODEs

In 1959, Ezeilo studied the stability of the third-order ODE ${\overset {...}{x}}+f(x,{\dot {x}}){\ddot {x}}+g(x){\dot {x}}+h(x)=0$ near the trivial solution $x=0$ .^[6] Stability holds if $f(x,y)\geq \delta _{0}$ for some positive constant $\delta _{0}$ , $g(y)/y\geq \delta _{1}$ for some positive constant $\delta _{1}$ , $h(x)/x\geq \delta _{2}$ for some positive constant $\delta _{2}$ , and $h'(x)\leq c$ for some constant c where $\delta _{0}\delta _{1}-c\geq 0$ , and $y{\frac {\partial f}{\partial y}}$ is always nonpositive.^[6] He also studied the existence of periodic solutions to the third-order ODE ${\overset {...}{x}}+a{\ddot {x}}+b{\dot {x}}+h(x)=p(t)$ .^[7] In 1966, he, together with H. O. Tejumola, generalized this work even further to study vector equations of the form ${\overset {...}{X}}+A{\ddot {X}}+B{\dot {X}}+H(X)=P(t,X,{\dot {X}},{\ddot {X}})$ .^[8]

Fourth and fifth order ODEs

In 1962, Ezeilo studied the stability of the fourth-order equation $x^{(4)}+f({\ddot {x}}){\overset {...}{x}}+\alpha _{2}{\ddot {x}}+g({\dot {x}})+h(x)+\alpha _{4}x=p(t)$ .^[9] In 1978 he studied the fifth-order equations $x^{(5)}+a_{1}x^{(4)}+a_{2}{\overset {...}{x}}+a_{3}{\ddot {x}}+a_{4}{\dot {x}}+f(x)=0$ and the two generalizations $x^{(5)}+a_{1}x^{(4)}+a_{2}{\overset {...}{x}}+h({\dot {x}}){\ddot {x}}+g(x){\dot {x}}+f(x)=0$ and $x^{(5)}+\psi ({\ddot {x}}){\overset {...}{x}}+\phi ({\ddot {x}})+\theta ({\dot {x}})+f(x)=0$ .^[10]

Honour

One of the past vice chancellors of Bayero University Kano state.^[11] A 2025 university conference announcement confirms the existence of the J.O.C. Ezeilo Twin Theatre at the old campus, indicating the lecture theatre was named in his honour.^[12]^[13]

Death

Ezeilo died in January 2013^[4]^[1] after a brief illness in Lagos.^[14]

James O. C. Ezeilo

Research

Third-order ODEs

Fourth and fifth order ODEs

Honour

Death

References

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