Université Djilali Bounaama Khemis Miliana

A counterexample and a controller correction for global synchronization of the fractional Newton–Leipnik reaction–diffusion system

This independent technical note examines the controller printed in equation (26) and the global synchronization assertion of Theorem 5.3 in Mansouri, Bendoukha, Abdelmalek and Youkana, Applicable Analysis 100 (2021), 675–694, DOI: 10.1080/00036811.2019.1616694. An incorrect produ...

Counterexamples and controller corrections for full-state hybrid projective synchronization of discrete systems

This independent mathematical correction note examines the printed controllers and global synchronization claims in Adel Ouannas, “On Full-State Hybrid Projective Synchronization of General Discrete Chaotic Systems,” Journal of Nonlinear Dynamics (2014), Article ID 983293, DOI: 1...

Two Corrections to the Heisenberg Example and Sobolev Formulation in The Work of Hong Wang

This correction note identifies two local formulation errors in Christopher D. Sogge’s survey The Work of Hong Wang, arXiv:2609.40161v1 (30 September 2026). The displayed four-real-parameter Heisenberg family has only three real parameters of complex directions, so it cannot prov...

A correction note on normalization and auxiliary estimates in Sharp volume bounds for BRK-type sets of surfaces of revolution

This independent correction note examines auxiliary assertions in Xianghong Chen and Tongou Yang, “Sharp volume bounds for BRK-type sets of surfaces of revolution,” arXiv:2609.39059v1 (30 September 2026). A family of shrinking spheres satisfies a common neighborhood-intersection...

Two Corrections to the Heisenberg Example and Sobolev Formulation in The Work of Hong Wang

This correction note identifies two local formulation errors in Christopher D. Sogge’s survey The Work of Hong Wang, arXiv:2609.40161v1 (30 September 2026). The displayed four-real-parameter Heisenberg family has only three real parameters of complex directions, so it cannot prov...

Structural Obstructions and Corrections to "Existence, Uniqueness and Stability Analysis for Delay Fractional Evolution Equations with Maxima"

We examine several assertions in F. Abdeldjebbar, N. Rezoug, A. Salim and M. Benchohra, Analysis 46 (2026), 21–38, concerning delay fractional evolution equations with maxima. Several independent structural, analytic and logical obstructions are identified. First, the quantity[\m...

Structural Obstructions and Corrections to "Existence, Uniqueness and Stability Analysis for Delay Fractional Evolution Equations with Maxima"

We examine several assertions in F. Abdeldjebbar, N. Rezoug, A. Salim and M. Benchohra, Analysis 46 (2026), 21–38, concerning delay fractional evolution equations with maxima. Several independent structural, analytic and logical obstructions are identified. First, the quantity[\m...

A Correction Note on Sobolev Propagation and Polynomial Truncation for a Dirichlet-to-Neumann Approximation in Thin Dielectric Multilayers

This correction note discusses two technical points in the derivation of the Dirichlet-to-Neumann operator in B. Alliti, T. Laadj and K. M'hamed-Messaoud, Mathematical Methods in the Applied Sciences 46 (2023), 6843–6856. First, the proof of the exact transfer formula is based on...

A Correction Note on Sobolev Propagation and Polynomial Truncation for a Dirichlet-to-Neumann Approximation in Thin Dielectric Multilayers

This correction note discusses two technical points in the derivation of the Dirichlet-to-Neumann operator in B. Alliti, T. Laadj and K. M'hamed-Messaoud, Mathematical Methods in the Applied Sciences 46 (2023), 6843–6856. First, the proof of the exact transfer formula is based on...

Step-size restrictions and recentering bounds in the semidefinite linear complementarity problem: counterexamples and a corrected local analysis

This technical note examines the step-size estimates and recentering analysis in M. Achache and N. Boudiaf, “Complexity analysis of primal-dual algorithms for the semidefinite linear complementarity problem,” Rev. Anal. Numer. Theor. Approx. 40 (2011), no. 2, 95–106, DOI: 10.3399...

A counterexample to a homotopy-equivalence criterion for topological categories

Roberts' Theorem 4.2 states that a fully faithful, essentially O_num-surjective functor between well-pointed topological categories induces a homotopy equivalence of classifying spaces. In the published formulation, however, the space of algebraically invertible arrows is only eq...

A counterexample to a homotopy-equivalence criterion for topological categories

Roberts' Theorem 4.2 states that a fully faithful, essentially O_num-surjective functor between well-pointed topological categories induces a homotopy equivalence of classifying spaces. In the published formulation, however, the space of algebraically invertible arrows is only eq...

Between sanctions and judicial reasoning: Contemporary perspectives on gender justice in khalwat cases in Aceh

Cases involving jarīmah khalwat in Aceh raise questions about the application of ‘uqūbat and judicial reasoning toward male and female defendants. This study examines sentencing patterns and judicial reasoning in jarīmah khalwat cases before the Mahkamah Syar’iyah through a subst...

An Axial Obstruction to the Uniform High-Order Matrix Damping Criterion in "Stable Singularity of the Euler Equations on R^3"

This technical note examines the full-domain high-order matrix negativity condition (S248) in the 107-page manuscript "Stable Singularity of the Euler Equations on R^3" by Adarsh Ganeshram, Valentin Duruisseaux and Anima Anandkumar, retrieved on 8 September 2026. From the normali...

The Sharp First-Angular Symmetry-Breaking Threshold for the Planar Lane–Emden Equation with Robin Boundary Conditions

This note sharpens the first-angular symmetry-breaking analysis for the planar Lane--Emden equation with positive Robin boundary conditions. We prove the existence of a unique sharp transition exponent\[p_{\mathrm{sb}}\in(5,8).\]For \(1 p_{\mathrm{sb}}\), it has exactly two simpl...

The Sharp First-Angular Symmetry-Breaking Threshold for the Planar Lane–Emden Equation with Robin Boundary Conditions

This note sharpens the first-angular symmetry-breaking analysis for the planar Lane--Emden equation with positive Robin boundary conditions. We prove the existence of a unique sharp transition exponent\[p_{\mathrm{sb}}\in(5,8).\]For \(1 p_{\mathrm{sb}}\), it has exactly two simpl...

Minimal Real Generalized Trisecants

Ranestad, Seigal, and Wang asked whether, for every admissible triple (d,n,m)(d,n,m), there exists a smooth, irreducible, non-degenerate real projective variety of dimension mm, codimension nn, and degree dd, whose maximum number of real points in a transverse complementary linea...

Minimal Real Generalized Trisecants

Ranestad, Seigal, and Wang asked whether, for every admissible triple (d,n,m)(d,n,m), there exists a smooth, irreducible, non-degenerate real projective variety of dimension mm, codimension nn, and degree dd, whose maximum number of real points in a transverse complementary linea...

A Global Lyapunov Resolution of the Zeraoulia–Sprott HIV-Therapy Conjecture

We study the autonomous three-dimensional HIV dynamics model formed by the concentrations of CD4 lymphocytes, CD8 lymphocytes, and the HIV-1 viral load. Zeraoulia and Sprott conjectured, on the basis of numerical evidence, that the system is nonchaotic for every positive choice o...

A local concentration correction in Hua and Yang's cellular Kakeya reduction

This technical note concerns equation (9.5c0), page 40, of Hua and Yang's Cellular Maximal-Density Factoring and a Conditional Repair of the Streamlined Three-Dimensional Kakeya Reduction, arXiv:2608.18870v3 (26 August 2026). A singleton fine tube inside one coarse tube gives an...