276 papers
This paper corrects a previously published error regarding the oscillatory behavior of second-order non-canonical neutral differential equations and establishes new, improved sufficient conditions for oscillation under sublinear assumptions using Riccati-type transformations and comparison principles, supported by illustrative examples.
This bibliometric study of 203 Scopus articles from 2011 to 2025 reveals a significant upward trend in research on dynamic software in mathematics education, highlighting GeoGebra as a dominant theme while identifying key gaps in computational thinking integration, adaptive learning, and primary school contexts.
This paper introduces a unified framework for induced structures within unary-binary operads to formally capture binary quadratic relations, demonstrating its utility by characterizing Novikov and multi-Novikov algebras as induced structures of differential and multi-differential commutative algebras.
This paper argues that anti-exceptionalism about logic faces an unresolved regress problem in cases of fundamental disagreement, where the abductive criteria used to choose between logical theories are themselves theory-laden and logically contested, thereby mirroring the intractable structure of the epistemological problem of the criterion.
This paper establishes a connection between triplewise independent random variables and complete bipartite graphs to construct such variables, then derives variance gamma approximation bounds for their sums using Stein's method and the generalized zero-bias transformation.
This paper investigates the global dynamics of a fractional reaction–diffusion epidemic model incorporating nonlocal asymptomatic transmission, crowding-dependent incidence, and periodic intermittent treatment by establishing the well-posedness and asymptotic behavior of solutions through semigroup theory and estimates, supported by numerical simulations.
This paper proposes a locally optimal parameter selection strategy for over-relaxed projected-forward iterations in cocoercive variational inequalities, demonstrating that after identifying active constraints, spectral tuning of the relaxation parameter (and potentially the forward step) significantly accelerates convergence compared to standard global settings.
This paper establishes the global well-posedness, uniform boundedness, and disease-free convergence conditions for a mixed fractional-classical reaction-diffusion epidemic model featuring nonlocal asymptomatic transmission and periodic intermittent treatment, while validating these theoretical findings through numerical simulations of the system's complex spatiotemporal dynamics.
This paper establishes the global well-posedness and asymptotic behavior of a spatially heterogeneous nonlocal SIR model with distinct diffusion rates and intermittent treatment by employing semigroup theory and a diffusive limit approach to overcome the lack of classical parabolic smoothing, with numerical simulations confirming the theoretical findings.
This paper establishes that the interpolatory six-point Deslauriers--Dubuc subdivision scheme minimizes a discrete curvature-variation energy to achieve superior fairness, extends this variational framework to Riemannian surfaces via geodesic-midpoint lifts with explicit implementations on the sphere and hyperbolic plane, and demonstrates through benchmarks that the six-point scheme offers an optimal balance of fairness, locality, and robustness compared to its four- and eight-point counterparts.