- Numerical Analysis, Integral
Equations, Delay differential equations
- Numerical Analysis,
Integral equations, Applied Mathematics, delay differential equations
- American Mathematical
Society (AMS)
- International Association
for Mathematics and Computers in Simulation (IMACS)
- International
Federation of Nonlinear Analysis
á Recipient of 2012
Oakland University Research Excellence Award
- 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
Books:
- Face Recognition:
Cognitive and Computational process (publisher: John Benjamins,
(with S. Rakover)), 2001
Articles:
1. Stability Criteria for Certain
Neutral Equation with Two Delays (with D. Schmidt), To appear in Dynamic of Continuous
and Impulsive Systems, Series A: Mathematical Analysis,.
2.
Cognitive Processing of scramble Faces (with S. Rakover), to appear in American Journal of Psychology
- Necessary conditions and algorithmic stability tests
for certain higher odd order neutral delay differential equations (with D.
Schmidt) Dynamic Systems and Applications 20 (2011) pp. 223-246
(refereed).
- Stability criteria for certain neutral high even
order delay differential equations (with D. Schmidt) Dynamic of Continuous, Discrete and Impulsive
Systems, Series A: Mathematical Analysis 18(2011) pp. 673-697 (refereed).
- Stability criteria of
first order delay differential equations with m Commensurate Delays (with
D. Schmidt) Dynamic of Continuous, Discrete and Impulsive Systems 19(2010)
pp. 353-374 (refereed).
- Some new Chebyshev spaces (with D. Schmidt) Journal of
Approximation Theory , 161(2009) pp. 819-824
(referee)
- A face recognition by
similarity (FRBS) conjecture (with S. Rakover)
Perception & Psychophysics, 70 (6) (2008), pp. 969-982 (refereed).
- Stability criteria
for certain even order delay differential equations (with D. Schmidt)
Journal of Mathematical Analysis and Applications, 334(2007), pp. 859-875
(refereed).
- Stability criteria of
odd order delay differential equations (with D. Schmidt) Journal of
Computational and Applied Mathematics, 20(2007) pp. 408-423 (refereed)
- 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).
- Stability criteria
for certain third order delay differential equations (with D. Schmidt),
Journal of Computational and Applied Mathematics, 188(2006) pp. 319-335
(refereed).
- 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).
- 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).
- 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).
- Oscillations of
linear delay differential equations of neutral and mixed type, Neural
Parallel & Scientific Computations, Vol. 10(2002), pp. 77-90
(refereed).
- 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).
- 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).
- Asymptotic stability
of linear delay differential equations, Mathematical Systems and
Applications, Vol. 10 (2001), pp. 63-88. (refereed).
- The numerical
solution of discrete delay systems, Computers and Mathematics with
Applications (with Guang Da
Hu), Vol. 42 (2001), pp. 735-741 (refereed).
- On generic
oscillations for delay differential equations (with D. Schmidt),
Proceedings of Dynamic Systems and Applications ,(2001),
pp. 105-112 (refereed).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- Oscillations in
neutral differential equations, Proceedings of the Fourteenth Annual
Conference on Applied Mathematics, (1999) pp. 79-89 (refereed).
- 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).
- Uniform stability for
neutral differential equations, Proceedings of the Thirteenth Annual Conference
on Applied Mathematics, (1998) pp. 68-81 (refereed).
- 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).
- Generic oscillations
for delay differential equations (with D. Schmidt), Journal of Math. Anal.
and Applications, 223 (1998), pp. 288-301
(refereed).
- Analysis of
thermostat model (with D. Schmidt, M. Shillor,
and X. Zou), European Journal of Applied Mathematics,
223 (1997), pp. 437-455 (refereed).
- 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).
- Unconditional
stability for certain delay differential equations, Dynamic Systems and
Applications, 5(1996) pp. 583-594 (refereed).
- Predictor-corrector
algorithms for differential equations with a state-dependent delay,
Proceedings of Neural, Parallel and Scientific computations, 1996 (refereed).
- 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).
- Numerical stability
of reducible quadrature rules for Volterra integral equation with delays, Neural,
Parallel and Scientific Computations, Vol. 3, 1995, 281-292 (refereed).
- On the stability of Volterra integral equations with a lagging argument,BIT- Computer
Science and Numerical Mathematics Journal, 1995, Vol. 35,19-29 (refereed).
- Analytic
Approximation of Solutions of Differential Equations (with L. Bragg), . Complex Variable, Vol. 20, 1994, 11-40 (refereed).
- Numerical stability
of Volterra integral equations with or without
delay, Proceedings of Dynamic Systems and Applications-I, (1994), 43-550
(refereed).
- 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).
- Oscillatory solution
of Volterra integral equations with
state-dependent delays, Journal of Dynamic Systems and Applications, 2
(1993), 461-469 (refereed).
- On the numerical
stability of Volterra integral equations (with
A. Deutz), IMACS Computational and Applied
Mathematics, II(1992), 277-286 (refereed).
- Numerical solutions
for functional integral equations (with D. Schmidt), IMA Journal of
Numerical Analysis, Vol. 12,(1992), 527-543
(refereed).
- 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).
- Numerical solutions
for functional integral equations with state-dependent delays, Applied
Numerical Mathematics, Vol. 9 (1992), 291-305 (refereed).
- 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).
- 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).
- Fixed Points for Extrema of Contractions (with I. E. Schochetman), J. of Math Analysis and Applications
(1990), Vol. 146, No. 1, 280-297 (refereed).
- On the numberical stability of Volterra
integral equations with delay arguments, Journal of Computational and
Applied Mathematics, 33 (1990), 97-104 (refereed).
- Numerical Solutions
of X and Y equations with perturbations, IMACS Annals on Computation and
Applied Mathematics (1989), Vol. 5, 399-407 (refereed).
- 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)
- Numerical Methods of
Initial Value Problems, J. of Applied Numerical Mathematics (1989), Vol.
5, 299-407 (refereed).
- Numerical solution of
differential equations with deviation arguments (with L. J. Nachman), International Journal of Modeling and
Simulation, 1(1988), 10-15 (refereed).
- Existence Theorems of
random solutions to stochastic functional integral equations, Comput. Math. Applic. 15(1988),
473-481 (refereed).
- Numerical solution of
parabolic equations with a state-dependent delay, Advances in Computer
Methods for Partial Differential Equations-VI, Proceedings of IMACS, 1987
(refereed).
- 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).
- 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).
- Numerical
approximation of nonlinear Volterra functional
operators, Numerical Solution of Singular Integral Equations, Proceedings
of IMACS, (1984), 12-17 (refereed).
- 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).
- Numerical solutions
of a perturbed Chandrasekhar H-equation (with L. J. Nachman),
J. of Math Analysis and Applications, 85(1982), 599-625 (refereed).
- Piecewise Polynomial
approximate solution of an automatic control problem (with D. Schmidt),
IMA J. of Numerical Analysis, 2(1982), 1-19 (refereed).
- Numerical solution of
non-linear Volterra integral equations, J. of
Computational and Applied Mathematics, 7(1981), 121-128 (refereed).
- The Heat equation
with stochastic non-linear boundary conditions, J. of Differential
Equations, 39(1981), 426-444 (refereed).
- Safe solution of a
car-following problem, J. of Math Analysis and Applications, 81(1981),
135-155 (refereed).
- 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).
- Numerical solution of
Volterra integral equations with continuous or
discontinuous terms (with D. Westreich), J.
Inst. Math Applications, 26(1980), 175-186 (refereed).
- 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).
- Numerical methods for
discontinuous linear two-points boundary value problems (with D. Westreich), J. of Comp. and
Appl. Math, 5(1979), 111-115 (refereed).
- A
confidence headway for safe
car-following (with J. Harband), J. of Math
Analysis and Applications, 69(1979), 511-530 (refereed).
- On the initial value
problem for a certain partial differential equation, BIT, 19(1979),
164-171 (refereed).
- Numerical solution of
a variational problem in automatic control, J.
Inst. Maths Applications, 22(1978), 479-492
(refereed).
- The relation between
the steady-state solution and the solution of a minimum problem, SIAM J.
Appl. Math, 28(1975), 541-546 (refereed).
- The heat equation
with stochastic solution-dependent boundary condition, J. of Differential
Equations, 15(1974), 418-428 (refereed).
Submitted for Publication
1.
Neutral stability criteria for certain second order delay differential
equations (with D. Scmidt) to be submitted.
In Preparation:
- Stability Criteria
For Certain Neutral First Order Equations with m commensurate (with D.
Schmidt).
- Stability Switches in Even Linear Neutral
Differential Equations (with D. Schmidt)
- Face recognition, A proposed Law of
face recognition by similarity (with S. Rakover)
Baruch Cahlon
(cahlon@oakland.edu) / May 27, 2009