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...
by Julie Decaup
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...
by N. A. Larkin , J. Luchesi
ABSTRACT: Boundary value problems for linear stationary dispersive equations of order 2 l + 1, l ∈ N with general linear boundary conditions have been considered on finite intervals (0, L ). The...
by Gus Argyros, Michael Argyros, Ioannis K. Argyros, Santhosh George
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...
by Giuseppe Maria Coclite, Lorenzo di Ruvo
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...
by D. Ogorelova, F. Sadyrbaev, V. Sengileyev
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...
by Debasis Sharma, 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...
by Mehdi Hassani, Mahmoud Marie
ABSTRACT: For a given polynomial G we study the sums φ m ( n ) := ∑ ′k m and φ G ( n ) = ∑ ′G ( k ) where m ≥ 0 is a fixed integer and ∑ ′ runs through all integers k with 1 ≤ k ≤ n...
by Thierry E. Huillet
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...