Publications

Dr. Bilal Chanane Professor

June , 2009

[35] B. Chanane,  2009, Computing the eigenvalues of a nonlocal Sturm-Liouville problem,
         Mathematical and Computer Modelling,  doi:10.1016/j.mcm.2008.10.021, (50) 225--232

[34] Rahimov, I., Chanane, B., 2008, Branching processes with incubation, Stochastic Models 24 (1), pp. 71-88

[32] B. Chanane, 2007, Eigenvalues of Sturm-Liouville problems with discontinuity inside a finite  interval , Applied Mathematics and Computation, 188/2 pp. 1725-1732, appeared electronically (2006) doi:10.1016/j.amc.2006.11.082

[31]B. Chanane, 2007, Sturm-Liouville problems with parameter dependent potential and boundary conditions, J. Computational and Applied Mathematics, 212 (2), pp. 282-290, appeared electronically (2006) doi:10.1016/j.cam.2006.12.006

 [30] B. Chanane, 2007, Computing the spectrum of non self-adjoint Sturm-Liouville problems with parameter dependent boundary, J. Computational and Applied Mathematics, 206/1 pp. 229-237, appeared electronically (2006) doi:10.1016/j.cam.2006.06.014

 [29] B. Chanane, 2007, Computing the eigenvalues of singular Sturm-Liouville problems using the regularized sampling method, Applied Mathematics and Computation , 184/2 pp. 972-978,  appeared electronically (2006) doi:10.1016/j.amc.2006.05.187

[28] B. Chanane, 2005, Computation of the Eigenvalues of Sturm-Liouville Problems with Parameter dependent boundary conditions using the Regularized Sampling Method,  Mathematics of Computation, American Mathematical Society, Vol. 74, No. 252, pp. 1793-1801, 2005, Article electronically published on March 18, 2005, S0025-5718(05)01717-5

[27] A. Boucherif, B. Chanane, 2004, Second Order Multivalued Boundary Value Problems, Communications in Applied Nonlinear Analysis, Vol. 11, No. 1, pp. 85-91     

[26] B. Chanane, 2003, Recovering entire functions with polynomial and exponential growth and  computation of their zeros, Intern. J. of Applied Math., Vol. 13, No. 3, pp. 261-277

[25] B. Chanane, A. Boucherif, 2003, Computation of the eigenpairs of two-parameter Sturm- Liouville problems with three-point boundary conditions,  Intern. J. of  Differential Equations and Applications, Vol. 7, No. 2, pp. 203-210.

 [24] A. Boucherif, B. Chanane, 2003, Boundary Value Problems for second Order Differential Inclusions, Intern. J. of Differential Equations and Applications, Vol. 7,  No. 2, pp. 147-151.

 [23] B. Chanane, 2002, Approximation of the Eigenvalues of Regular Fourth Order
          Sturm-Liouville Problems using Interpolation Theory, Approximation Theory X:
          Wavelets, Splines, and Applications, Charles K. Chui, Larry L. Schumaker, and
          Joachim Stockler (eds.), pp. 155-166.

 [22] B. Chanane,  2002, Fliess series approach to the computation of the eigenvalues  of fourth order Sturm-Liouville problems, Applied Mathematics Letters, Vol.15, Iss. 4, pp.459-463.

[21] B. Chanane, 2002, On a class of random Sturm-Liouville problems, Intern. J. of Applied Mathematics, Vol.8 No.2, pp. 171-182.

[20]B. Chanane, 2001, High Order Approximations of the Eigenvalues of Sturm-Liouville Problems with Coupled Self-Adjoint Boundary Conditions, Applicable Analysis, Vol. 80, pp. 317-330.

[19]A. Boumenir, B. Chanane, 2001, The Computation of negative eigenvalues of singular Sturm-Liouville problems, I.M.A. J. Num. Anal., 21, (2), pp. 489-501.

[18]B. Chanane, 2000, The Paley-Wiener-Levinson theorem and the computation of Sturm-Liouville eigenvalues:Irregular sampling, Applicable Analysis, Vol.75 (3-4), pp.261-266.

[17]B. Chanane, 1999, Eigenvalue Problems: A Control Theoretic Approach, in Dynamics of Continuous , Discrete and Impulsive Systems, 1-4, pp. 465-471.

[16]A. Boumenir, B. Chanane, 1999, Computing Eigenvalues of  Sturm-Liouville Systems of Bessel Type, Proceedings of the Edinburgh Math Society, 42, pp. 257-265.

[15]B. Chanane, 1998, High Order Approximations of Eigenvalues of Regular Sturm-Liouville Problems, J. Math. Analysis and Applications, 226, pp.121-129.

[14]B. Chanane, 1999, Computing Eigenvalues of Regular Sturm-Liouville Problems, Applied Math. Letters, Vol.12, pp. 119-125.

[13]B. Chanane, 1998, Eigenvalues of Fourth Order Sturm-Liouville problems using Fliess Series, J. of Computational  and Applied Math., Vol. 96, Iss. 2.,  pp. 91-97.

[12]B. Chanane, 1998, Eigenvalues of Sturm-Liouville problems using Fliess series, Applicable Analysis, Vol. 69 (3-4) pp.233-238.

[11]B. Chanane, 1998, A series solution for nonlinear differential equations using delta operators, Applied Math. Letters, Vol. 11, 6, pp. 75-80.

[10]B. Chanane, 1998, Optimal control of nonlinear systems: A recursive approach, Computers and Mathematics with Applications, Vol. 35, No. 3, pp.29-33.

[9]B. Chanane, 1997, A New Functional expansion for nonlinear systems, Systems and Control Letters, Vol. 32, No 2, pp. 91-98.

[8]B. Chanane, 1997, Bilinear quadratic optimal control: A recursive approach, Optim. Contr. Applic. And Methods, Vol. 18, pp. 273-282.

[7]A. Boumenir, B. Chanane, 1996, Eigenvalues of S-L systems using sampling theory, Applicable Analysis, Vol. 62, pp. 323-334.  

[6]S. P. Banks, B. Chanane, 1992, On frequency response for nonlinear systems , In The Mathematics of Control Theory, Edited by N. K. Nichols and D. H. Owens, Clarendon Oxford,  pp. 147-156.

[5]S. P. Banks, B. Chanane, 1991, Functional Expansion and Stability for nonlinear input-output maps, Int. J. Sys. Sci., Vol. 22, No. 2, 393-401.

[4]B. Chanane, S. P. Banks, 1990, Rational expansion for nonlinear input-output maps, Int. J. Control, vol. 51, No. 6, 1241-1250.

[3]B. Chanane, S. P. Banks, 1989, Realization and generalized frequency response for nonlinear input-output maps, Int. J. Sys. Sci., Vol. 20, No.11, 2161-2179.

[2]B. Chanane, S. P. Banks, 1989, Nonlinear input-output maps for bilinear systems and stability, I.M.A. J. Math. Control & Information, 6, 309-315.

[1]S. P. Banks, B. Chanane, 1988, A generalized frequency response for nonlinear systems, I.M.A. J. Math. Control & Information, 5, 147-166.