Zobrazeno 1 - 10
of 69
pro vyhledávání: '"45m20"'
Autor:
Thinh, L. V., Tuan, H. T.
This paper is devoted to the study of the asymptotic behavior of solutions to multi-order fractional cooperative systems. First, we demonstrate the boundedness of solutions to fractional-order systems under certain conditions imposed on the vector fi
Externí odkaz:
http://arxiv.org/abs/2410.14294
Autor:
Thinh, L. V., Tuan, H. T.
This paper is concerned with a generalized Halanay inequality and its applications to fractional-order delay linear systems. First, based on a sub-semigroup property of Mittag-Leffler functions, a generalized Halanay inequality is established. Then,
Externí odkaz:
http://arxiv.org/abs/2410.09370
Autor:
Thinh, L. V., Tuan, H. T.
In this paper, we study a class of multi-order fractional nonlinear delay systems. Our main contribution is to show the (local or global) Mittag-Leffler stability of systems when some structural assumptions are imposed on the "vector fields": coopera
Externí odkaz:
http://arxiv.org/abs/2410.09366
Autor:
Gallo, Marco
In this thesis we investigate how the nonlocalities affect the study of different PDEs coming from physics, and we analyze these equations under almost optimal assumptions of the nonlinearity. In particular, we focus on the fractional Laplacian opera
Externí odkaz:
http://arxiv.org/abs/2402.08338
In this paper we prove symmetry of nonnegative solutions of the integral equation \[ u (\zeta ) = \int\limits_{{\mathbb H}^n} |\zeta^{-1} \xi|^{-(Q-\alpha)} u(\xi)^{p} d\xi \quad 1< p \leq \frac{Q+\alpha}{Q-\alpha},\quad 0< \alpha
Externí odkaz:
http://arxiv.org/abs/2401.15100
Autor:
Gallo, Marco
Goal of this paper is to study the asymptotic behaviour of the solutions of the following doubly nonlocal equation $$(-\Delta)^s u + \mu u = (I_{\alpha}*F(u))f(u) \quad \hbox{on $\mathbb{R}^N$}$$ where $s \in (0,1)$, $N\geq 2$, $\alpha \in (0,N)$, $\
Externí odkaz:
http://arxiv.org/abs/2310.09251
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 565-606 (2024)
In this article, we study the following weighted integral system: u(x)=∫R+n+1yn+1βf(u(y),v(y))∣x−y∣λdy,x∈R+n+1,v(x)=∫R+n+1yn+1βg(u(y),v(y))∣x−y∣λdy,x∈R+n+1.\left\{\begin{array}{l}u\left(x)=\mathop{\displaystyle \int }\limits_{
Externí odkaz:
https://doaj.org/article/496b584cd3af4395acdfb0af35a1e2fb
This series of two papers is devoted to the study of the principal spectral theory of nonlocal dispersal operators with almost periodic dependence and the study of the asymptotic dynamics of nonlinear nonlocal dispersal equations with almost periodic
Externí odkaz:
http://arxiv.org/abs/2111.01274
This paper studies the effects of the dispersal spread, which characterizes the dispersal range, on nonlocal diffusion equations with the nonlocal dispersal operator $\frac{1}{\sigma^{m}}\int_{\Omega}J_{\sigma}(x-y)(u(y,t)-u(x,t))dy$ and Neumann boun
Externí odkaz:
http://arxiv.org/abs/1911.07665
Autor:
Xueli, Bai, Fang, Li
In this paper, we study the global dynamics of a general $2\times 2$ competition models with nonsymmetric nonlocal dispersal operators. Our results indicate that local stability implies global stability provided that one of the diffusion rates is suf
Externí odkaz:
http://arxiv.org/abs/1810.07402