Ethelbert Nwakuche Chukwu

- Biographical sketch of Chukwu in PDF HTML format
- "Controlling the Wealth of Nations" and "Stability and Time Optimal Control" and Order Form
- Optimal Control and Order Form
- Optimal Control 2 and Order Form
- Page 7 Page 8 Page 9
- Page 10 Page 11 Page 12
- MA 535 JPG Format PDF format

Homepage at Buffalo University

http://www.math.buffalo.edu/mad/PEEPS/chukwu_ethelbert_nwakuche.html

place: Mbano, Imo, Nigeria

B.Sc. Mathematics (1965) at Brown University; M.Sc. Applied Mathematics at the University of Nigeria-Nsukka

Ph.D. Applied Matheatics (1972) Case Western Reserve University

thesis: *Symmetries and Indentification Of Linear Control Systems*; Advisor:
Otomar Hájek

: Professor of Mathematics, North Carolina State University

URL:

E-mail: chukwu@math.ncsu.edu

Ethelbert Nwakuche Chukwu earned his B.Sc. in Mathematics at Brown University (1965), a M.Sc. in Applied Mathematics at the University of Nigeria-Nsukka and earned his PhD. in Mathematics from Case Western Reserve University (1972). Thus began a remarkable career in Mathematics Resarch and Administration.

Dr. Chukwu's first position was at Cleveland State University where he was an Assistant Professor (1972) and Associate Professor in 1976. In 1977 until 1981 he was Dean of the School of Post-Graduate Studies at the University of Jos in Nigeria. He also served as Professor of Mathematics (1978-81) and Chair of the Mathematics department (1979-81). From 1981 until 1984, Dr. Chukwu was Vice Chancellor (President) of Federal University. From 1984 until 1989, he held several visiting positions at universities in the U.S. However, in 1989 E.N. Chukwu became Professor of Mathematics at North Carolina State University where he remains until today. He has worked on several research projects for NASA since his membership in the faculty of mathematics at NCSU. E-mail: chukwu@math.ncsu.edu

Dr. Chukwu's hobbies are music and poetry.

Research

Dr. Ethelbert Nwakuche Chukwu was awarded the Griot Mathematics Award by The Academy
for Pan African Research and Culture. He has over **75** papers and books on various
topics from Classical Analysis to Operator Theory and Applied Mathematics- linear
and non-linear differential equations, and Mathematical Economics. Below are the
articles located through Math Reviews

Books

2. **Chukwu, E. N.** __Differential models and neutral systems for controlling
the wealth of nations__. Series on Advances in Mathematics for Applied Sciences,
**54**. World Scientific Publishing Co., Inc., River Edge, NJ, 2001. xvi+513 pp.
ISBN: 981-02-4381-2 91-02.

1. **Chukwu, E. N.** *Stability and time-optimal control of hereditary systems
*. Mathematics in Science and Engineering, 188. Academic Press, Inc., Boston,
MA, 1992. xii+508 pp. ISBN: 0-12-174560-0

Papers

54. **Chukwu, Ethelbert Nwakuche** __Volterra integrodifferential neutral
dynamics for the growth of wealth of nations: a controllability theory__. Indian
J. Pure Appl. Math. **29** (1998), no. 7, 723--799.

53. **Chukwu, Ethelbert N.** __On the controllability of nonlinear economic
systems with delay: the Italian example__. Appl. Math. Comput. **95** (1998),
no. 2-3, 245--274.

52. **Chukwu, E. N.** __Control of nonlinear delay differential economic systems
in $W\sp {(1)}\sb 2$__. Advances in nonlinear dynamics, 157--170, Stability Control
Theory Methods Appl., **5**, Gordon and Breach, Amsterdam, 1997.

51. **Chukwu, E. N.**; Simpson, H. C. *The solution operator in $W\sp {(1)}\sb
p$ for systems of neutral type *. Nonlinear Anal. **29** (1997), no. 10, 1173--1195.

50. **Chukwu, E. N.** *Control of nonlinear delay-differential equations
in $W\sp {(1)}\sb 2$ with economic applications *. Appl. Math. Comput. **85**
(1997), no. 1, 17--59.

49. **Chukwu, E. N.** *Universal laws for the control of global economic
growth with nonlinear hereditary dynamics *. Appl. Math. Comput. **78** (1996),
no. 1, 19--81.

48. **Chukwu, E. N.** *Control of interconnected nonlinear delay differential
equations in $W\sp {(1)}\sb 2$ *. Proc. Indian Acad. Sci. Math. Sci. **105**
(1995), no. 1, 73--98.

47. **Chukwu, E. N.** *Control in $W\sp {(1)}\sb 2$ of nonlinear interconnected
systems of neutral type *. J. Austral. Math. Soc. Ser. B **36** (1995), no.
3, 286--312.

46. **Chukwu, E. N.**; Smoczynski, P. *A weak invariance principle and asymptotic
stability for evolution equations with bounded generators *. Internat. J. Math.
Math. Sci. **18** (1995), no. 2, 255--264.

45. **Chukwu, E. N.** *Optimal control of the growth of income of nations
*. Appl. Math. Comput. **62** (1994), no. 2-3, 279--309.

44. **Chukwu, Ethelbert N.** *Mathematical controllability theory of the
growth of wealth of nations *. Japan J. Indust. Appl. Math. **11** (1994),
no. 1, 87--111.

43. **Chukwu, E. N.** *Mathematical controllability theory of capital growth
of nations *. Appl. Math. Comput. **52** (1992), no. 2-3, 317--344.

41. **Chukwu, E. N.**; Underwood, Robert G.; Kovari, Louis D. *Global constrained
null-controllability of nonlinear neutral systems *. Appl. Math. Comput. **49**
(1992), no. 1, 95--110.

40. **Chukwu, E. N.** *Nonlinear delay systems controllability *. J. Math.
Anal. Appl. **162** (1991), no. 2, 564--576.

39. **Chukwu, E. N.** *Global behavior of linear retarded functional-differential
equations *. J. Math. Anal. Appl. **162** (1991), no. 1, 277--293.

38. **Chukwu, E. N.**; Lenhart, S. M. *Controllability questions for nonlinear
systems in abstract spaces *. J. Optim. Theory Appl. **68** (1991), no. 3,
437--462.

37. **Chukwu, E. N.** *The time optimal control theory of functional-differential
equations applicable to mathematical ecology *. Mathematical ecology (Trieste,
1986), 734--752, World Sci. Publishing, Teaneck, NJ, 1988.

36. **Chukwu, E. N.**; Simpson, H. C. *Perturbations of nonlinear systems
of neutral type *. J. Differential Equations **82** (1989), no. 1, 28--59.

35. **Chukwu, E. N.** *The time control theory of linear differential equations
of neutral type *. The mathematics of systems and computations (Atlanta, GA, 1986).
Comput. Math. Appl. **16** (1988), no. 10-11, 851--866.

34. **Chukwu, E. N.** *The time optimal control theory of nonlinear systems
of neutral type *. Nonlinear analysis and applications (Arlington, Tex., 1986),
127--132, Lecture Notes in Pure and Appl. Math., **109**, Dekker, New York, 1987.
34K35 (49E15 93B05 93C10)

33. **Chukwu, Ethelbert N.** *The time-optimal control of nonlinear delay
equations *. Operator methods for optimal control problems (New Orleans, La.,
1986), 97--130, Lecture Notes in Pure and Appl. Math., **108**, Dekker, New York,
1987. 34K35 (49A10 49E15)

32. Underwood, Robert G.; **Chukwu, E. N.** *Null controllability of nonlinear
neutral differential equations *. J. Math. Anal. Appl. **129** (1988), no.
2, 326--345.

31. **Chukwu, E. N.** *Global null controllability of nonlinear delay equations
with controls in a compact set *. J. Optim. Theory Appl. **53** (1987), no.
1, 43--57. 93B05 (34K35 49E15)

30. **Chukwu, E. N.** *On the Euclidean controllability of a neutral system
with nonlinear base *. Nonlinear Anal. **11** (1987), no. 1, 115--123.

29. **Chukwu, E. N.** *Function space null controllability of linear delay
systems with limited power* . J. Math. Anal. Appl. **124** (1987), no. 2, 293--304.

28. **Chukwu, E. N.** *Evolution equations of Lurie-type in Hilbert spaces
*. Nonlinear Anal. **9** (1985), no. 9, 977--985.

27. **Chukwu, E. N.** *Constrained global null controllability of nonlinear
delay systems *. Trends in theory and practice of nonlinear differential equations
(Arlington, Tex., 1982), 121--128, Lecture Notes in Pure and Appl. Math., **90**,
Dekker, New York, 1984.

26. **Chukwu, E. N.** *Null controllability in function space of nonlinear
retarded systems with limited control *. J. Math. Anal. Appl. **103** (1984),
no. 1, 198--210.

25. **Chukwu, E. N.** *Total controllability to affine manifolds of control
systems *. J. Optim. Theory Appl. **42** (1984), no. 2, 181--199.

24. **Chukwu, E. N.** *An estimate for the solution of a certain functional-differential
equation of neutral type *. Nonlinear phenomena in mathematical sciences (Arlington,
Tex., 1980), 255--268, Academic Press, New York-London, 1982.

23. **Chukwu, Ethelbert N.** *The time optimal control problem of linear
neutral functional systems *. Journal
Nigerian Mathematics Society **1** (1982), 39--55.

22. **Chukwu, E. N.**; Gronski, J. M.; Silliman, S. D. *Spline solution to
extremal problems via optimal control *. Boll. Un. Mat. Ital. Suppl. 1980, no.
1, 21--29.

21. **Chukwu, Ethelbert N.** *Global asymptotic behaviour of functional-differential
equations of the neutral type *. Nonlinear Anal. **5** (1981), no. 8, 853--872.

20. **Chukwu, Ethelbert N.** *On the null-controllability of nonlinear delay
systems with restrained controls *. J. Math. Anal. Appl. **76** (1980), no.
1, 283--296.

19. **Chukwu, Ethelbert N.** *On the boundedness and the existence of a periodic
solution of some nonlinear third order delay differential equation *. Atti Accad.
Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) **64** (1978), no. 5, 440--447.

18. **Chukwu, E. N.**; Hájek, O. *Disconjugacy and optimal control
*. J. Optim. Theory Appl. **27** (1979), no. 3, 333--356.

17. **Chukwu, E. N.** *A neutral functional differential equation of Lurie
type *. SIAM J. Math. Anal. **11** (1980), no. 1, 108--114.

16. **Chukwu, E. N.** *Controllability of delay systems with restrained controls
*. J. Optim. Theory Appl. **29** (1979), no. 2, 301--320.

15. **Chukwu, E. N.** *Functional inclusion and controllability of nonlinear
neutral functional differential systems *. J. Optim. Theory Appl. **29** (1979),
no. 2, 291--300.

14. **Chukwu, E. N.** *Capture in linear functional differential games of
pursuit *. J. Math. Anal. Appl. **70** (1979), no. 2, 326--336.

13. **Chukwu, Ethelbert Nwakuche** *Euclidean controllability of linear delay
systems with limited controls *. IEEE Trans. Automat. Control **24** (1979),
no. 5, 798--800.

20. **Chukwu, E. N.** *On the null controllability of a control process satisfying
a nonlinear fifth order differential equation *. Nigerian
J. Sci. **11** (1977), no. 1-2, 375--397.

19. **Chukwu, Ethelbert N.**; Gronski, Jan M. *Approximate and complete controllability
of nonlinear systems to a convex target set *. J. Math. Anal. Appl. **61**
(1977), no. 1, 97--112. 93B05

18. **Chukwu, Ethelbert N.**; Gronski, Jan M. *Controllability of nonlinear
systems with restrained controls to closed convex sets *. Differential games and
control theory, II (Proc. 2nd Conf., Univ. Rhode Island, Kingston, R.I., 1976), pp.
295--308. Lecture Notes in Pure and Appl. Math., 30. Dekker, New York, 1977. 93B05

17. **Chukwu, Ethelbert N.** *Complete stability and boundedness of solutions
of a nonlinear differential equation of the fifth order *. Stability of dynamical
systems, theory and applications (Proc. Regional Conf., Mississippi State Univ.,
Mississippi State, Miss., 1975), pp. 111--118. Lecture Notes in Pure and Appl. Math.,
Vol. **28**, Dekker, New York, 1977. 34D05 (93D05)

16. **Chukwu, E. N.**; Silliman, S. D. *Complete controllability to a closed
target set *. J. Optimization Theory Appl. **21** (1977), no. 3, 369--383.
49E15

15. **Chukwu, Ethelbert Nwakuche** *On the controllability to closed sets
of nonlinear and related linear systems *. Nonlinear Anal. **1** (1976/77),
no. 4, 429--441.

14. *Dynamical systems *. Vol. I. Proceedings of the International Symposium
held at Brown University, Providence, R.I., August 12--16, 1974. Edited by Lamberto
Cesari, Jack K. Hale and Joseph P. LaSalle. Academic Press, Inc. [Harcourt Brace
Jovanovich, Publishers], New York-London, 1976. xxviii+338 pp. ISBN: 0-12-164901-6
34-06 (58-06)

13. **Chukwu, Ethelbert N.** *Symmetries and identification of non-autonomous
control systems *. Differential games and control theory (Proc. NFS-CBMS Regional
Res. Conf., Univ. Rhode Island, Kingston, R.I., 1973), pp. 277--290. Lecture Notes
in Pure Appl. Math., Vol. **10**, Dekker, New York, 1974. 93C99 (90D25)

12. **Chukwu, Ethelbert N.** *Controllability to a target set of linear disturbed
systems *. IEEE Trans. Automatic Control AC-22 (1977), no. 4, 653--654. 93B05

11. **Chukwu, E. N. ***On the controllability of non-linear control process
satisfying a third order differential equation *. Nigerian
J. Sci. **7** (1973), no. 2, 119--133. 93B05

10. **Chukwu, E. N.** *On the boundedness and stability of solutions of some
differential equations of the fifth order *. SIAM J. Math. Anal. **7** (1976),
no. 2, 176--194.

9. **Chukwu, Ethelbert N.** *Finite time controllability of nonlinear control
processes *. SIAM J. Control **13** (1975), 807--816.

8. **Chukwu, E. N.** *On the boundedness and stability properties of solutions
of some differential equations of the fifth order *. Ann. Mat. Pura Appl. (4)
**106** (1975), 245--258.

7. **Chukwu, Ethelbert N.** *On the reachable sets of non-autonomous linear
control systems *. Portugal. Math. **34** (1975), no. 1-2, 91--103.

6. **Chukwu, E. N.** *On the boundedness of a certain fourth-order differential
equation *. J. London Math. Soc. (2) **11** (1975), no. 3, 313--324.

5. **Chukwu, Ethelbert Nwakuche** *On the boundedness of solutions of third
order differential equations *. Ann. Mat. Pura Appl. (4) **104** (1975), 123--149.

4. **Chukwu, Ethelbert Nwakuche** *Symmetries of autonomous linear control
systems *. SIAM J. Control **12** (1974), 436--448.

3. **Chukwu, E. N.** *On the stability of a nonhomogeneous differential equation
of the fourth order *. Ann. Mat. Pura Appl. (4) **92** (1972), 1--11.

2. **Chukwu, E. N.** *Mathematical controllability theory of the growth of
wealth of nations *. World Congress of Nonlinear Analysts '92, Vol. I--IV (Tampa,
FL, 1992), 2459--2470, de Gruyter, Berlin, 1996.

1. **Chukwu, E. N.** *Global behaviour of retarded functional-differential
equations *. Differential equations and applications, Vol. I, II (Columbus, OH,
1988), 176--180, Ohio Univ. Press, Athens, OH, 1989.

The Mathematics Department of

The State University of New York at Buffalo.