Department
of Mathematics
e-mail: boumenir@westga.edu
A
Comparison Theorem for Self-adjoint Operators
Proc.
Amer. Math. Soc., 111, 1991, pp161-175.
Existence
of a Sol of a Sing Nonlinear B.V.P.( with El-Gebeily and El-Gindi)
Jour.
Comp. and Appl. Math. 46, 1993, pp345-355.
The
Inverse Spectral Problem for the Degenerate Second Operator,
Inverse
Problems. 10. Number 5, 1994, pp1079-1097.
The
Paley-Wiener Theorem and Factorization
Jour. Integral
Equations Applications, 6,
2,1994, pp129-143.
The
Transmutation Operator for 1/w(x) y''(x)
Proc.
Math. Soc. Edinburgh.A.125,1995, pp85-98.
Explicit
Computation of the Spectral Function
Proc.
Amer. Math. Soc. 123, 11, 1995, pp3431-3436.
On
the Inverse of Integral Operators with Kernel Operators
Jour.
Integral Equations. and Appl., 7,4,1995, pp371-392.
Transmutation
of operators with disjoint spectra: (with R.W.Carroll)
Applicable
Analysis, 58, 1995, pp301-311.
Construction
of a Transmutation
Journal
of Mathematical Physics, 36, 1995, pp5305-5309.
Extending
solutions Beyond Blow-up
Nonlinear
Analysis, Theory and applications, 26, 40, 1996, pp755-76.
Towards
a General Theory of Transmutations: (with R.W. Carroll).
Nonlinear
Analysis, Theory and applications, 26, 12,1996, pp1923-936.
Study
of the Blow-up set by transformation
Jour.
Math. Anal. Appl.,201,1996, pp697-714.
Eigenvalues
of S-L systems using sampling theory (with B. Chanane)
Applicable
Analysis, 62,1996, pp323-334.
Growth
of the Spectral Function
Int. Jour. Math. Scie. 20, 3,1997, pp475-482.
Inverse
spectral problem for the Laguerre Operator
Jour.
Math. Anal. Appl . 224, 1998, pp 218-240.
Solution
of a Helicoidal spring. (With S. Al Ghamdi)
Theme issue in B.V.P. Arab. Jour. Scie. Eng 2A. 23, 1998.
The
inverse Laplace transform and Pseudodifferential Operators (with Shuabi)
Jour.
Math. Anal. and Appl. 228, 1998, pp16-36.
The
Boundary function under Neumann boundary conditions
Dyn. Cont. Dis. Imp. Sys. 5, 1,4 1999, pp 427-432.
Irregular
sampling and the inverse spectral problem
Jour. Fourier. Anal. Appl. 5.3, 1999, pp 377-387.
Computing
the eigenvalues of singular S-L of Bessel type (with B. Chanane)
Proc.
Roy. Soc. Edin. Soc. 42.2 1999, pp. 257-265.
A
rigorous verification of a numerically computed eigenvalue
Comp.
Math. with applications 38, 1999, pp 39-41.
Computing
Eigenvalues of periodic Sturm-Liouville problems by the
Shannon-Whittaker
sampling theorem Math. Comp. 68, 1999,
pp1057-1066.
The
recovery of analytic potentials
Inverse
Problems, 15, 6, 1999, pp1405-1423.
The
sampling method for SL problems with the eigenvalue in the b.c.
Numer.
Funct.Anal. Optim. 21 , 1-2, 2000. pp67--75.
The
Sampling method for the String
Applied.
Math. Letters ,13, 2000, pp29-36.
Higher
approximation of eigenvalues by sampling
BIT
40 , no. 2, 2000, pp 215--225.
Computing
Eigenvalues of Lommel type equations by the sampling method
Jour.
Comp. Analysis and Applications,.2, 4, 2000, pp323-332.
On
the numerical inversion of the Laplace transform by optimized Legendre
Polyns.(with A. Al-Shuaibi,) Approx. Theory Appl. (N.S.) 16, 2000, no. 4, 17--32.
The
computation of negative eigenvalues of singular S-L probs (with B. Chanane),
IMA J. Numer.
Anal. 21, 2001, no. 2,
489--501
Paley-Wiener type theorems by
transmutations.(with M. Z. Nashed,)
J.
Fourier Anal. Appl. 7, 2001, no. 4, 395--417.
A
stochastic inventory model with stock dependent demand (with L. Benkherouf, L.
Aggoun )
J.
Appl. Math. Stochastic Anal. 14, 2001, no. 4, 317--328.
Transmutation
of orthogonal polynomials, (with G. Miller)
Applicable
Analysis 78, 2001, no. 3-4, 405--414.
Sampling
and eigenvalues of non-self-adjoint Sturm-Liouville problems.
SIAM
J. Sci. Comput. 23, 2001, no. 1, 219--229
Sampling
with a string. (with A. Zayed),
J. Fourier. Anal. Appl. 8, 2002, no.3,
211—231.