Baruch Cahlon Professor Department of Mathematics and Statistics Oakland University Rochester, MI 48309 Office: 550 SEB (248-370-3435) Fax: 248-370-4184 E-mail: cahlon@oakland.edu Home: 248-373-3776
Current Courses: Ø MTH154 – Calculus I Fall 2008 Courses: Ø MTH155L – Calculus II Ø MTH254 – Multivariable Calculus	Ø EDUCATION Ø PROFESSIONAL EXPERIENCE Ø AREAS OF EXPERTISE Ø RESEARCH INTERESTS Ø MEMBERSHIP IN PROFESSIONAL ORGANIZATIONS Ø GRANTS AND AWARDS Ø PUBLICATIONS Ø RESEARCH IN PROGRESS

EDUCATION:

• B. Sc., Statistics Tel Aviv University 1969
• B. Sc., Mathematics Tel Aviv University 1969
• M. Sc., Mathematics Tel Aviv University 1971
• Ph.D., Applied Math Tel Aviv University 1974

PROFESSIONAL EXPERIENCE:

• Professor Oakland University 1989-present
• Lecturer Ben-Gurion University 1974-79
• Visiting Asst. Professor Oakland University 1979-80
• Associate Professor Oakland University 1980-84
• Visiting Assoc. Professor Haifa University 1984-85
• Associate Professor Oakland University 1985-88
• Visiting Assoc. Professor Technion (ISRAEL) 1988-89

AREAS OF EXPERTISE:

• Numerical Analysis, Integral Equations, Delay differential equations

RESEARCH INTERESTS:

• Numerical Analysis, Integral equations, Applied Mathematics, delay differential equations

MEMBERSHIP IN PROFESSIONAL ORGANIZATIONS:

• American Mathematical Society (AMS)
• International Association for Mathematics and Computers in Simulation (IMACS)
• International Federation of Nonlinear Analysis

GRANTS AND AWARDS:

• Oakland University, Faculty Fellowship, Spring/Summer 1998, 2002
• 1997 research award of the Minister of the Internal Security of Israel (with S. Rakover), January 1998
• Binational Science Foundation, 3 years ($85,000) (with S. Rakover), 1990-1993

PUBLICATIONS

Books:

1. Face Recognition: Cognitive and Computational process (publisher: John Benjamins, (with S. Rakover)), 2001

Articles:

1. Stability criteria for certain even order delay differential equations (with D. Schmidt) Journal of Mathematical Analysis and Applications, 334(2007), pp. 859-875 (refereed).
2. Stability criteria of odd order delay differential equations (with D. Schmidt) Journal of Computational and Applied Mathematics, 20(2007) pp. 408-423 (refereed)
3. Note on asymptotic stability of a mechanical robotic model with delay and negative and positive damping (with D. Schmidt), Dynamic Systems and Applications, 16(2007) pp. 311-326 (refereed).
4. Stability criteria for certain third order delay differential equations (with D. Schmidt), Journal of Computational and Applied Mathematics, 188(2006) pp. 319-335 (refereed).
5. Asymptotic stability of a mechanical robotics model with damping and delay (with D. Schmidt) Journal of Mathematical Analysis and Applications, 303(2005), pp. 36-53 (refereed).
6. Stability criteria for certain second-order delay differential equations with mixed coefficients (with D. Schmidt) Journal of Computational and Applied Mathematics, 188(2004) pp. 79-102 (refereed).
7. Stability criteria for certain second order delay differential equations (with D. Schmidt), Dynamic of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 10 (2003) pp. 593-621 (refereed).
8. Oscillations of linear delay differential equations of neutral and mixed type, Neural Parallel & Scientific Computations, Vol. 10(2002), pp. 77-90 (refereed).
9. On stability of a first-order complex delay differential equation (with D. Schmidt), Proceedings of Neural and Scientific Computations , Vol. 2(2002), pp. 261-264 (refereed).
10. Oscillations tests of linear delay differential equation of neutral and mixed type, Proceedings of Neural and Scientific Computations , Vol. 2(2002), pp. 265-268 (refereed).
11. Asymptotic stability of linear delay differential equations, Mathematical Systems and Applications, Vol. 10 (2001), pp. 63-88. (refereed).
12. The numerical solution of discrete delay systems, Computers and Mathematics with Applications (with Guang Da Hu), Vol. 42 (2001), pp. 735-741 (refereed).
13. On generic oscillations for delay differential equations (with D. Schmidt), Proceedings of Dynamic Systems and Applications ,(2001), pp. 105-112 (refereed).
14. Algebric criteria for stability of linear systems with a single delay (with Guang Da Hu, and Guang Di Hu) Journal of Computational and Applied Mathematics 135, (2001) pp. 125-133 (refereed).
15. On stability of systems of delay differential equations (with D. Schmidt), Journal of Computational and Applied Mathematics , Vol. 117, No. 2 (2000), pp. 137-158 (refereed).
16. A note on generic oscillation for delay differential equations (with D. Schmidt), Journal of Mathematical Analysis and Applications, Vol. 239, ,(1999), pp. 591-598 (refereed).
17. Algorithmic stability tests for certain systems of delay differential equations (with D. Schmidt). Proceedings of the International Conferencew on Biomathematics Bioinformatics and Applications of Functional Differential Equations, (1999), pp. 73-8 (refereed).
18. The catch model, a solution to the problem of saliency in facial features (with S. Rakover), Journal Spatial Vision, Vol. 12, ,(1999), pp. 73-81 (refereed).
19. Oscillations in a thermostat model (with D. Schmidt, M. Shillor and X. Zou), Advances in Mathematical Analysis and Applications, Vol. 9, No. 1, (1999) pp. 24-49 (refereed).
20. Oscillations in neutral differential equations, Proceedings of the Fourteenth Annual Conference on Applied Mathematics, (1999) pp. 79-89 (refereed).
21. Estimation on numerically stable step-size neutral delay differential equations with multiple delays (with Guang-Da Hu), Jounrnal of Comp. and App. Mathematics, Vol. 102, No. 2, (1999) pp. 221-234 (refereed).
22. Uniform stability for neutral differential equations, Proceedings of the Thirteenth Annual Conference on Applied Mathematics, (1998) pp. 68-81 (refereed).
23. Sufficient conditions for oscillations of higher order neutral delay differential equations, added volume to Discrete and Continuous Dynamic Systems Journal, 1 (1998) pp, 124-137 (refereed).
24. Generic oscillations for delay differential equations (with D. Schmidt), Journal of Math. Anal. and Applications, 223 (1998), pp. 288-301 (refereed).
25. Analysis of thermostat model (with D. Schmidt, M. Shillor, and X. Zou), European Journal of Applied Mathematics, 223 (1997), pp. 437-455 (refereed).
26. Stability criteria for certain delay integral equations of Volterra type, (with D. Schmidt), Journal of Computational and Applied Mathematics, 84 (1997), pp. 161-188 (refereed).
27. Unconditional stability for certain delay differential equations, Dynamic Systems and Applications, 5(1996) pp. 583-594 (refereed).
28. Predictor-corrector algorithms for differential equations with a state-dependent delay, Proceedings of Neural, Parallel and Scientific computations, 1996 (refereed).
29. Stability of a Finite-Difference Solution for the Heat-Equation with a Nonlocal Constraint (with D. Kulkarni and P. Shi), SIAM Journal of Numerical Analysis, Vol. 32, No. 2, 1995, 571-593 (refereed).
30. Numerical stability of reducible quadrature rules for Volterra integral equation with delays, Neural, Parallel and Scientific Computations, Vol. 3, 1995, 281-292 (refereed).
31. On the stability of Volterra integral equations with a lagging argument,BIT- Computer Science and Numerical Mathematics Journal, 1995, Vol. 35,19-29 (refereed).
32. Analytic Approximation of Solutions of Differential Equations (with L. Bragg), . Complex Variable, Vol. 20, 1994, 11-40 (refereed).
33. Numerical stability of Volterra integral equations with or without delay, Proceedings of Dynamic Systems and Applications-I, (1994), 43-550 (refereed).
34. Convective cooling and optimal placement of electric components with variable ambient temperature: The linear model.(with I.E. Shgchochetman and M. Shillor), Journal of Computational and Applied Mathematics, 47 (1993), 351-367 (refereed).
35. Oscillatory solution of Volterra integral equations with state-dependent delays, Journal of Dynamic Systems and Applications, 2 (1993), 461-469 (refereed).
36. On the numerical stability of Volterra integral equations (with A. Deutz), IMACS Computational and Applied Mathematics, II(1992), 277-286 (refereed).
37. Numerical solutions for functional integral equations (with D. Schmidt), IMA Journal of Numerical Analysis, Vol. 12,(1992), 527-543 (refereed).
38. Optimal Placement of Heat Sources on a Rectangular Grid (with I.E. Schochetman and M. Shillor), Journal of Mathematical Analysis and Applications, Vol. 34 (1992), 351-364 (refereed).
39. Numerical solutions for functional integral equations with state-dependent delays, Applied Numerical Mathematics, Vol. 9 (1992), 291-305 (refereed).
40. A Model for the Convective Cooling of Electronic Components with Application to Optimal Placement (with I. Gertsbahk, I.E. Schochetman and M. Shillor), Math. Comput. Modeling, Vol. 15, No. 2 (1991), 59-75 (refereed).
41. Numerical Methods for Discontinuous Linear Boundary Value Problems with Deviation Arguments (with L.J. Nachman), Journal of Mathematical Analysis and Applications, Vol. 154, No. 2 (1991), 529-542 (refereed).
42. Fixed Points for Extrema of Contractions (with I. E. Schochetman), J. of Math Analysis and Applications (1990), Vol. 146, No. 1, 280-297 (refereed).
43. On the numberical stability of Volterra integral equations with delay arguments, Journal of Computational and Applied Mathematics, 33 (1990), 97-104 (refereed).
44. Numerical Solutions of X and Y equations with perturbations, IMACS Annals on Computation and Applied Mathematics (1989), Vol. 5, 399-407 (refereed).
45. To Catch a Thief with a recognition test: The model and some empirical results (with S. Rakover), J. of Cognitive Psychology (1989), Vol. 21, 423-409 (refereed)
46. Numerical Methods of Initial Value Problems, J. of Applied Numerical Mathematics (1989), Vol. 5, 299-407 (refereed).
47. Numerical solution of differential equations with deviation arguments (with L. J. Nachman), International Journal of Modeling and Simulation, 1(1988), 10-15 (refereed).
48. Existence Theorems of random solutions to stochastic functional integral equations, Comput. Math. Applic. 15(1988), 473-481 (refereed).
49. Numerical solution of parabolic equations with a state-dependent delay, Advances in Computer Methods for Partial Differential Equations-VI, Proceedings of IMACS, 1987 (refereed).
50. Numerical solution of Volterra integral equations with a solution dependent delay (with L. J. Nachman), J. of Math Analysis and Applications, 112(1985), 541-562 (refereed).
51. Numerical solution of Volterra integral equations with delay arguments (with L. J. Nachman and D. Schmidt), J. of Integral Equations, 7(1984), 191-208 (refereed).
52. Numerical approximation of nonlinear Volterra functional operators, Numerical Solution of Singular Integral Equations, Proceedings of IMACS, (1984), 12-17 (refereed).
53. On solving the Plateau problem in a parametric form (with L. J. Nachman and A. D. Solomon), International J. of Mathematics and Mathematical Sciences, 6(1983), 341-362 (refereed).
54. Numerical solutions of a perturbed Chandrasekhar H-equation (with L. J. Nachman), J. of Math Analysis and Applications, 85(1982), 599-625 (refereed).
55. Piecewise Polynomial approximate solution of an automatic control problem (with D. Schmidt), IMA J. of Numerical Analysis, 2(1982), 1-19 (refereed).
56. Numerical solution of non-linear Volterra integral equations, J. of Computational and Applied Mathematics, 7(1981), 121-128 (refereed).
57. The Heat equation with stochastic non-linear boundary conditions, J. of Differential Equations, 39(1981), 426-444 (refereed).
58. Safe solution of a car-following problem, J. of Math Analysis and Applications, 81(1981), 135-155 (refereed).
59. Existence Theorems for an integral equation of the Chandrasekhar H-equation with perturbation (with M. Eskin), J. of Math Analysis and Applications, 83(1981), 159-171 (refereed).
60. Numerical solution of Volterra integral equations with continuous or discontinuous terms (with D. Westreich), J. Inst. Math Applications, 26(1980), 175-186 (refereed).
61. Complete continuity of integro-differential operators with discontinuous kernels and collectively compact approximations (with D. Westreich), J. of Math Analysis and Applications, 71(1979), 313-332 (refereed).
62. Numerical methods for discontinuous linear two-points boundary value problems (with D. Westreich), J. of Comp. and Appl. Math, 5(1979), 111-115 (refereed).
63. A confidence headway for safe car-following (with J. Harband), J. of Math Analysis and Applications, 69(1979), 511-530 (refereed).
64. On the initial value problem for a certain partial differential equation, BIT, 19(1979), 164-171 (refereed).
65. Numerical solution of a variational problem in automatic control, J. Inst. Maths Applications, 22(1978), 479-492 (refereed).
66. The relation between the steady-state solution and the solution of a minimum problem, SIAM J. Appl. Math, 28(1975), 541-546 (refereed).
67. The heat equation with stochastic solution-dependent boundary condition, J. of Differential Equations, 15(1974), 418-428 (refereed).

RESEARCH IN PROGRESS:

Submitted for Publication

1. A face recognition by similarity (FRBS) conjecture
2. Some new Chebyshev spaces (with D. Schmidt)
3. Stability criteria of first order delay differential equations with m Commensurate Delays (with D. Schmidt)

In Preparation:

1. Neutral stability criteria for certain second order delay differential equations.
2. Generic oscillation of neutral delay differential equations (with D. Schmidt).
3. Face recognition, A proposed Law of face recognition by similarity (with S. Rakover)

Baruch Cahlon (cahlon@oakland.edu) / July 23, 2008