Contemporary Mathematics, Volume 1 Issue 5 (2020), 272-461 < Previous vol / issue Next vol/issue >

This issue is in progress but contains articles that are final and fully citable.

by Decaup Julie

Abstract: We give a proof of the simultaneous monomialization Theorem in zero characteristic for rings essentially of finite type over a field and for quasi-excellent rings. The methods develop the key elements...

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Well-Posedness of the Second-Order SDEs Describing an N-Particle System Interacting via Coulomb Interaction

by Rong Yang

Abstract: This paper concerns a second-order N interacting stochastic particle system with singular potential for any dimension n ≥ 2. By some estimates of total energy of the system, we prove that there is n...

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Formulation of Problems for Stationary Dispersive Equations of Higher Orders on Bounded Intervals with General Boundary Conditions

by Larkin N. A., J. Luchesi

Abstract: Boundary value problems for linear stationary dispersive equations of order 2l + 1, l ∈ N with general linear boundary conditions have been considered on finite intervals (0, L). The existence and u...

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Extended Local Convergence for High Order Schemes Under ω-Continuity Conditions

by Argyros Gus,Argyros Michael, Argyros Ioannis K.,George Santhosh

Abstract: There is a plethora of schemes of the same convergence order for generating a sequence approximating a solution of an equation involving Banach space operators. But the set of convergence criteria is ...

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Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One

by Coclite Giuseppe Maria ,Ruvo Lorenzo di

Abstract: The Rosenau-Korteweg-de Vries equation describes the wave-wave and wave-wall interactions. In this paper, we prove that, as the diffusion parameter is near zero, it coincides with the Korteweg-de Vrie...

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Control in Inhibitory Genetic Regulatory Network Models

by Ogorelova D. ,Sadyrbaev F.,Sengileyev V.

Abstract: The system of two the first order ordinary differential equations arising in the gene regulatory networks theory is studied. The structure of attractors for this system is described for three importan...

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A New Class of Fifth and Sixth Order Root-Finding Methods with Its Dynamics and Applications

by Sharma Debasis, Sanjaya Kumar Parhi, Shanta Kumari Sunanda

Abstract: In this paper, we deal with the construction, analysis and applications of a modified uniparametric family of methods to solve nonlinear equations in R. We study the convergence of new methods which s...

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On the Sums Running over Reduced Residue Classes Evaluated at Polynomial Arguments

by Hassani Mehdi ,Marie Mahmoud

Abstract: For a given polynomial G we study the sums φm(n) := ∑′km and φG(n) = ∑′G(k) where m ≥ 0 is a fixed integer and ∑′ runs through all integers k with 1 ≤ k ≤ n and gcd(k, n) = 1. Alt...

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On Random Population Growth Punctuated by Geometric Catastrophic Events

by E. Huillet Thierry

Abstract: Catastrophe Markov chain population models have received a lot of attention in the recent past. Besides systematic random immigration events promoting growth, we study a particular case of populations...

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