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
    •

    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:

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

    • Articles:

  • 1. 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).
  • 2. Oscillations of linear delay differential equations of neutral and mixed type, Neural Parallel & Scientific Computations, Vol. 10(2002), pp. 77-90 (refereed).
  • 3. 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).
  • 4. 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).
  • 5. Asymptotic stability of linear delay differential equations, Mathematical Systems and Applications, Vol. 10 (2001), pp. 63-88. (refereed).
  • 6. The numerical solution of discrete delay systems, Computers and Mathematics with Applications (with Guang Da Hu), Vol. 42 (2001), pp. 735-741 (refereed).
  • 7. On generic oscillations for delay differential equations (with D. Schmidt), Proceedings of Dynamic Systems and Applications ,(2001), pp. 105-112 (refereed).
  • 8. 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).
  • 9. 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).
  • 10. 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).
  • 11. 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).
  • 12. 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).
  • 13. 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).
  • 14. Oscillations in neutral differential equations, Proceedings of the Fourteenth Annual Conference on Applied Mathematics, (1999) pp. 79-89 (refereed).
  • 15. 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).
  • 16. Uniform stability for neutral differential equations, Proceedings of the Thirteenth Annual Conference on Applied Mathematics, (1998) pp. 68-81 (refereed).
  • 17. 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).
  • 18. Generic oscillations for delay differential equations (with D. Schmidt), Journal of Math. Anal. and Applications, 223 (1998), pp. 288-301 (refereed).
  • 19. Analysis of thermostat model (with D. Schmidt, M. Shillor, and X. Zou), European Journal of Applied Mathematics, 223 (1997), pp. 437-455 (refereed).
  • 20. 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).
  • 21. Unconditional stability for certain delay differential equations, Dynamic Systems and Applications, 5(1996) pp. 583-594 (refereed).
  • 22. Predictor-corrector algorithms for differential equations with a state-dependent delay, Proceedings of Neural, Parallel and Scientific computations, 1996 (refereed).
  • 23. 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).
  • 24. Numerical stability of reducible quadrature rules for Volterra integral equation with delays, Neural, Parallel and Scientific Computations, Vol. 3, 1995, 281-292 (refereed).
  • 25. On the stability of Volterra integral equations with a lagging argument,BIT- Computer Science and Numerical Mathematics Journal, 1995, Vol. 35,19-29 (refereed).
  • 26. Analytic Approximation of Solutions of Differential Equations (with L. Bragg), . Complex Variable, Vol. 20, 1994, 11-40 (refereed).
  • 27. Numerical stability of Volterra integral equations with or without delay, Proceedings of Dynamic Systems and Applications-I, (1994), 43-550 (refereed).
  • 28. 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).
  • 29. Oscillatory solution of Volterra integral equations with state-dependent delays, Journal of Dynamic Systems and Applications, 2 (1993), 461-469 (refereed).
  • 30. On the numerical stability of Volterra integral equations (with A. Deutz), IMACS Computational and Applied Mathematics, II(1992), 277-286 (refereed).
  • 31. Numerical solutions for functional integral equations (with D. Schmidt), IMA Journal of Numerical Analysis, Vol. 12,(1992), 527-543 (refereed).
  • 32. 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).
  • 33. Numerical solutions for functional integral equations with state-dependent delays, Applied Numerical Mathematics, Vol. 9 (1992), 291-305 (refereed).
  • 34. 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).
  • 35. 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).
  • 36. Fixed Points for Extrema of Contractions (with I. E. Schochetman), J. of Math Analysis and Applications (1990), Vol. 146, No. 1, 280-297 (refereed).
  • 37. On the numberical stability of Volterra integral equations with delay arguments, Journal of Computational and Applied Mathematics, 33 (1990), 97-104 (refereed).
  • 38. Numerical Solutions of X and Y equations with perturbations, IMACS Annals on Computation and Applied Mathematics (1989), Vol. 5, 399-407 (refereed).
  • 39. 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)
  • 40. Numerical Methods of Initial Value Problems, J. of Applied Numerical Mathematics (1989), Vol. 5, 299-407 (refereed).
  • 41. Numerical solution of differential equations with deviation arguments (with L. J. Nachman), International Journal of Modeling and Simulation, 1(1988), 10-15 (refereed).
  • 42. Existence Theorems of random solutions to stochastic functional integral equations, Comput. Math. Applic. 15(1988), 473-481 (refereed).
  • 43. Numerical solution of parabolic equations with a state-dependent delay, Advances in Computer Methods for Partial Differential Equations-VI, Proceedings of IMACS, 1987 (refereed).
  • 44. 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).
  • 45. 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).
  • 46. Numerical approximation of nonlinear Volterra functional operators, Numerical Solution of Singular Integral Equations, Proceedings of IMACS, (1984), 12-17 (refereed).
  • 47. 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).
  • 48. Numerical solutions of a perturbed Chandrasekhar H-equation (with L. J. Nachman), J. of Math Analysis and Applications, 85(1982), 599-625 (refereed).
  • 49. Piecewise Polynomial approximate solution of an automatic control problem (with D. Schmidt), IMA J. of Numerical Analysis, 2(1982), 1-19 (refereed).
  • 50. Numerical solution of non-linear Volterra integral equations, J. of Computational and Applied Mathematics, 7(1981), 121-128 (refereed).
  • 51. The Heat equation with stochastic non-linear boundary conditions, J. of Differential Equations, 39(1981), 426-444 (refereed).
  • 52. Safe solution of a car-following problem, J. of Math Analysis and Applications, 81(1981), 135-155 (refereed).
  • 53. 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).
  • 54. Numerical solution of Volterra integral equations with continuous or discontinuous terms (with D. Westreich), J. Inst. Math Applications, 26(1980), 175-186 (refereed).
  • 55. 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).
  • 56. Numerical methods for discontinuous linear two-points boundary value problems (with D. Westreich), J. of Comp. and Appl. Math, 5(1979), 111-115 (refereed).
  • 57. A confidence headway for safe car-following (with J. Harband), J. of Math Analysis and Applications, 69(1979), 511-530 (refereed).
  • 58. On the initial value problem for a certain partial differential equation, BIT, 19(1979), 164-171 (refereed).
  • 59. Numerical solution of a variational problem in automatic control, J. Inst. Maths Applications, 22(1978), 479-492 (refereed).
  • 60. The relation between the steady-state solution and the solution of a minimum problem, SIAM J. Appl. Math, 28(1975), 541-546 (refereed).
  • 61. 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. Asymptotic stability of a mechanical robotics model with damping (with D. Schmidt)
  • 2. Stability criteria for certain second order delay differential equations with mixed coefficients (with D. Schmidt)

    • IN PREPARATION:

  • 1. Stability criteria for certain third 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) / October. 15, 2003