Zobrazeno 1 - 10
of 290
pro vyhledávání: '"45J05"'
Ordinary differential equations (ODE) are a popular tool to model the spread of infectious diseases, yet they implicitly assume an exponential distribution to describe the flow from one infection state to another. However, scientific experience yield
Externí odkaz:
http://arxiv.org/abs/2408.12228
In this paper, we discuss the Hardy inequality with bilinear operators on general metric measure spaces. We give the characterization of weights for the bilinear Hardy inequality to hold on general metric measure spaces having polar decompositions. W
Externí odkaz:
http://arxiv.org/abs/2404.08604
New polyconvolution product for Fourier-cosine and Laplace integral operators and their applications
Autor:
Tuan, Trinh
Publikováno v:
Mathematical Methods in the Applied Sciences. First published: 12 October 2023
The goal of this paper is to introduce the notion of polyconvolution for Fourier-cosine, Laplace integral operators, and its applications. The structure of this polyconvolution operator and associated integral transforms are investigated in detail. T
Externí odkaz:
http://arxiv.org/abs/2312.00764
Autor:
Bondar, Ivanna
By the theory of pseudoinverse matrices and orthoprojectors, we establish a criterion for the solvability and find the general form of solutions of an integrodifferential equation with with impulse action and control. The general form of control for
Externí odkaz:
http://arxiv.org/abs/2311.09444
Publikováno v:
Kazakh Mathematical Journal 20:1 (2020) 103-124
In the present paper, we study a multipoint boundary value problem for a system of Fredholm integro-differenial equations by the method of parameterization. The case of a degenerate kernel is studied separately, for which we obtain well-posedness con
Externí odkaz:
http://arxiv.org/abs/2309.15805
Autor:
Verma, Pratibha
This article looks at the relationship between the discrete and the continuous Redner-Ben-Avraham-Kahng (RBK) coagulation models. On the basis of a priori estimation, a weak stability principle and the weak compactness in $L_1$ for the continuous RBK
Externí odkaz:
http://arxiv.org/abs/2307.13245
Autor:
Verma, Pratibha, Giri, Ankik Kumar
We take into account a coagulation model that simulates a distinct kind of dynamics. In this model, two particles collide to produce a single particle, but the resulting particle decreases in size, allowing each particle to be fully identified by its
Externí odkaz:
http://arxiv.org/abs/2307.01677
Autor:
Tuan, Trinh
Publikováno v:
Journal of Mathematical Sciences (2023)
The paper deals with $L_p$-boundedness of the Hartley-Fourier convolutions operator and their applied aspects. We establish various new Young-type inequalities and obtain the structure of a normed ring in Banach space when equipping it with such conv
Externí odkaz:
http://arxiv.org/abs/2306.12378
Autor:
Ihara, Ryosuke, Yagasaki, Kazuyuki
The continuum limit provides a useful tool for analyzing coupled oscillator networks. Recently, Medvedev (Comm. Math. Sci., 17 (2019), no. 4, pp. 883-898) gave a mathematical foundation for such an approach when the networks are defined on single gra
Externí odkaz:
http://arxiv.org/abs/2305.16728
Publikováno v:
Tran. Amer. Math. Soc. 2024 (online)
This paper deals with local criteria for the convergence to a global minimiser for gradient flow trajectories and their discretisations. To obtain quantitative estimates on the speed of convergence, we consider variations on the classical Kurdyka--{\
Externí odkaz:
http://arxiv.org/abs/2304.05239