Iterative solution of unstable variational inequalities on approximately given sets
Abstract and Applied Analysis, Volume 1, Issue 1, Page 45-64, 1996., 1996 The convergence and the stability of the iterative regularization method for solving variational inequalities with bounded nonsmooth properly monotone (i.e., degenerate) operators in Banach spaces are studied. All the items of the inequality (i.e., the operator A, the “right hand side” f and the set of constraints Ω) are to be perturbed. The connection
Y. I. Alber, A. G. Kartsatos, E. Litsyn
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This study introduces a new three‐dimensional chaotic oscillator system characterized by zero eigenvalues, with stability localized in the center manifold, an uncommon feature in chaotic system design. The proposed system is constructed entirely from nonlinear terms and demonstrates complex dynamics validated through bifurcation analysis and Lyapunov ...
Ali Shukur +6 more
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Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential
Demonstratio MathematicaIn this article, we show how the curves that limit the basins of escape in a version of a Hénon–Heiles potential with a singularity at the origin evolve with the energy.
Navarro Juan F.
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Mathematical Model of the Waste Plastic Management via ABC Fractional Order Derivative
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Plastic waste can be broadly classified as recyclable and nonrecyclable wastes. The United Nations has set 17 goals of which Goal 14 refers to “Life below Water.” If plastic waste is not properly managed, it can pose a health hazard, including reproductive impairment in marine species. Hence, waste plastic management is necessary to achieve the Goal No.
Rajagopalan Ramaswamy +4 more
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Demonstratio MathematicaThis article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
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Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. [PDF]
Heliyon, 2023 Berrone S +3 more
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Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
BMC Res Notes, 2023 Wondimu GM +3 more
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Global stability analysis of the role of multi-therapies and non-pharmaceutical treatment protocols for COVID-19 pandemic. [PDF]
Chaos Solitons Fractals, 2021 Bassey BE, Atsu JU.
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Low-rank Parareal: a low-rank parallel-in-time integrator. [PDF]
BIT Numer Math, 2023 Carrel B, Gander MJ, Vandereycken B.
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F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors. [PDF]
J Math Biol, 2022 Tam AKY, Mogilner A, Oelz DB.
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