Nacir Hmidouch

Talladega College

*This is an algorithmically generated author record based on publicly available information.

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Talladega College

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Nacir Hmidouch has a total of 5 co-authors. Here are the top co-authors by number of shared publications:

Shams Alyusof
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia
3 shared publications
Lhoucine Hmidouch
Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, BP. 20, El Jadida 24000, Morocco
2 shared publications
Manal Badgaish
Mathematics Department, Faculty of Science, Umm Al-Qura University, Makkah 24382, Saudi Arabia
2 shared publications
Rabab Alyusof
Department of Mathematics, College of Science, King Saud University, Riyadh 11421, Saudi Arabia
2 shared publications
Flavia Colonna
Department of Mathematical Sciences, George Mason University, 4400 University Drive, Fairfax, VA 22030, USA
1 shared publication

Latest Publications

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- 16 June 2026
- Published by MDPI AG in Mathematics
On the Invariant Subspace Method for Nonlinear Second-Order Evolution Equations
by Manal Badgaish, Lhoucine Hmidouch, Nacir Hmidouch
We investigate invariant finite-dimensional linear spaces for a class of nonlinear evolution equations with second-order time dependence of the type $\partial_{t t} u = - \partial_{x} (A (x, u) u) + \partial_{x x} (B (x, u) u) + f (u),$ where the coefficients may depend nonlinearly on the solution. Using direct algebraic verification and invariant subspace reductions, we derive several exact solutions and reduce the governing equations to finite-dimensional systems of ordinary differential equations. Various examples are presented to illustrate the applicability of the method to nonlinear transport, diffusion, and reaction models.
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- 16 June 2026
- Published by MDPI AG in Mathematics
Open Access
On the Invariant Subspace Method for Nonlinear Second-Order Evolution Equations
by Manal Badgaish, Lhoucine Hmidouch, Nacir Hmidouch
We investigate invariant finite-dimensional linear spaces for a class of nonlinear evolution equations with second-order time dependence of the type $\partial_{t t} u = - \partial_{x} (A (x, u) u) + \partial_{x x} (B (x, u) u) + f (u),$ where the coefficients may depend nonlinearly on the solution. Using direct algebraic verification and invariant subspace reductions, we derive several exact solutions and reduce the governing equations to finite-dimensional systems of ordinary differential equations. Various examples are presented to illustrate the applicability of the method to nonlinear transport, diffusion, and reaction models.
Open Access
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Cited by 1
- 27 October 2025
- Published by MDPI AG in Symmetry
Sums of Generalized Weighted Composition Operators Acting from Besov and BMOA Spaces to Bloch Spaces
by Shams Alyusof, Nacir Hmidouch, Rabab Alyusof
This paper studies a generalized class of linear operators acting on spaces of analytic functions, defined by $P_{n}^{ψ, φ} (f) (z) = \sum_{j = 0}^{n} ψ_{j} (z) f^{(j)} (φ (z))$ , where $ψ = {ψ_{0}, ψ_{1}, \dots, ψ_{n}} \subset H (D)$ and $φ \in S (D)$ . This formulation encompasses several classical operators, including composition, weighted composition, differentiation–composition, and the Stević–Sharma operator. We focus on the action of $P_{n}^{ψ, φ}$ from $B M O A$ and analytic Besov spaces $B_{p}$ into the Bloch space $B$ , and provide necessary and sufficient conditions for boundedness and compactness. These results unify and extend many previously known characterizations and demonstrate the flexibility of the $P_{n}^{ψ, φ}$ framework in the context of analytic operator theory.
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- 27 October 2025
- Published by MDPI AG in Symmetry
Open Access
Sums of Generalized Weighted Composition Operators Acting from Besov and BMOA Spaces to Bloch Spaces
by Shams Alyusof, Nacir Hmidouch, Rabab Alyusof
This paper studies a generalized class of linear operators acting on spaces of analytic functions, defined by $P_{n}^{ψ, φ} (f) (z) = \sum_{j = 0}^{n} ψ_{j} (z) f^{(j)} (φ (z))$ , where $ψ = {ψ_{0}, ψ_{1}, \dots, ψ_{n}} \subset H (D)$ and $φ \in S (D)$ . This formulation encompasses several classical operators, including composition, weighted composition, differentiation–composition, and the Stević–Sharma operator. We focus on the action of $P_{n}^{ψ, φ}$ from $B M O A$ and analytic Besov spaces $B_{p}$ into the Bloch space $B$ , and provide necessary and sufficient conditions for boundedness and compactness. These results unify and extend many previously known characterizations and demonstrate the flexibility of the $P_{n}^{ψ, φ}$ framework in the context of analytic operator theory.
Cited by 1
Open Access
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Cited by 1
- 21 October 2025
- Published by MDPI AG in Mathematics
On the Study of Nonlinear Capillarity Models Through Weighted Sobolev Spaces with Dirichlet Boundary Conditions
by Manal Badgaish, Lhoucine Hmidouch, Nacir Hmidouch
We prove in this paper some existence and uniqueness results of weak solutions for some nonlinear degenerate parabolic problems arising from capillarity phenomena with the Dirichlet type boundary condition.
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- 21 October 2025
- Published by MDPI AG in Mathematics
Open Access
On the Study of Nonlinear Capillarity Models Through Weighted Sobolev Spaces with Dirichlet Boundary Conditions
by Manal Badgaish, Lhoucine Hmidouch, Nacir Hmidouch
We prove in this paper some existence and uniqueness results of weak solutions for some nonlinear degenerate parabolic problems arising from capillarity phenomena with the Dirichlet type boundary condition.
Cited by 1
Open Access
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- 4 May 2025
- Published by MDPI AG in Axioms
Essential Norm of Products of Volterra-Type Operators and Composition Operators on Iterated Banach-Type Spaces
by Rabab Alyusof, Shams Alyusof, Nacir Hmidouch
Let $H (D)$ be the set of analytic functions on the open unit disk $D$ . For $n \in N_{0} : = N \cup {0}$ , define the iterated weighted-type Banach space $V_{n} : = \{f \in H (D) : {sup}_{z \in D} {(1 - | z |}^{2}) | f^{(n)} (z) | < \infty\} .$ In this work, we study the boundedness and the essential norm of products of Volterra-type operators and composition operators on iterated weighted-type Banach spaces.
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- 4 May 2025
- Published by MDPI AG in Axioms
Open Access
Essential Norm of Products of Volterra-Type Operators and Composition Operators on Iterated Banach-Type Spaces
by Rabab Alyusof, Shams Alyusof, Nacir Hmidouch
Let $H (D)$ be the set of analytic functions on the open unit disk $D$ . For $n \in N_{0} : = N \cup {0}$ , define the iterated weighted-type Banach space $V_{n} : = \{f \in H (D) : {sup}_{z \in D} {(1 - | z |}^{2}) | f^{(n)} (z) | < \infty\} .$ In this work, we study the boundedness and the essential norm of products of Volterra-type operators and composition operators on iterated weighted-type Banach spaces.
Open Access
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- 26 April 2024
- Published by MDPI AG in Mathematics
Essential Norm of t-Generalized Composition Operators from F(p, q, s) to Iterated Weighted-Type Banach Space
by Shams Alyusof, Nacir Hmidouch
In this work, we characterize the boundedness of t-generalized composition operators from $F (p, q, s)$ spaces to iterated weighted-type Banach space. We also provide estimates of the norm and the essential norm of t-generalized composition operators from $F (p, q, s)$ spaces to iterated weighted-type Banach space. As corollaries, we obtain approximations of the essential norm of integral operators and generalized composition operators from $F (p, q, s)$ spaces to iterated weighted-type Banach space. Moreover, we conclude our work by discussing the t-generalized composition operators and the special cases of $F (p, q, s)$ .
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- 26 April 2024
- Published by MDPI AG in Mathematics
Open Access
Essential Norm of t-Generalized Composition Operators from F(p, q, s) to Iterated Weighted-Type Banach Space
by Shams Alyusof, Nacir Hmidouch
In this work, we characterize the boundedness of t-generalized composition operators from $F (p, q, s)$ spaces to iterated weighted-type Banach space. We also provide estimates of the norm and the essential norm of t-generalized composition operators from $F (p, q, s)$ spaces to iterated weighted-type Banach space. As corollaries, we obtain approximations of the essential norm of integral operators and generalized composition operators from $F (p, q, s)$ spaces to iterated weighted-type Banach space. Moreover, we conclude our work by discussing the t-generalized composition operators and the special cases of $F (p, q, s)$ .
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Cited by 2
- 28 June 2023
- Published by Springer Nature in Advances in Operator Theory
Essential norm of intrinsic operators from Banach spaces of analytic functions into weighted-type spaces
by Flavia Colonna, Nacir Hmidouch
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- 28 June 2023
- Published by Springer Nature in Advances in Operator Theory
Essential norm of intrinsic operators from Banach spaces of analytic functions into weighted-type spaces
by Flavia Colonna, Nacir Hmidouch
Cited by 2