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of 288
pro vyhledávání: '"34C11"'
This paper is a follow-up to a previous work where we considered populations with time-varying growth rates living in patches and irreducible migration matrix between the patches. Each population, when isolated, would become extinct. Dispersal-induce
Externí odkaz:
http://arxiv.org/abs/2407.07553
In this paper we introduce an index $\ell_c \in \mathbb{N}_0 \cup \lbrace \infty \rbrace$ which we call the `regularization index' associated to the endpoints, $c\in\{a,b\}$, of nonoscillatory Sturm-Liouville differential expressions with trace class
Externí odkaz:
http://arxiv.org/abs/2407.04847
Autor:
Chen, Zheng-An, Luo, Tao
Empirical and theoretical works show that the input weights of two-layer neural networks, when initialized with small values, converge towards isolated orientations. This phenomenon, referred to as condensation, indicates that the gradient descent me
Externí odkaz:
http://arxiv.org/abs/2402.15958
Publikováno v:
Journal of Mathematical Biology (2024) 88:19
We consider populations with time-varying growth rates living in sinks. Each population, when isolated, would become extinct. Dispersal-induced growth (DIG) occurs when the populations are able to persist and grow exponentially when dispersal among t
Externí odkaz:
http://arxiv.org/abs/2311.04706
Publikováno v:
J. Math. Anal. Appl. 540, 2024, 128642
This paper is devoted to studying the asymptotic behaviour of solutions to generalized non-commensurate fractional systems. To this end, we first consider fractional systems with rational orders and introduce a criterion that is necessary and suffici
Externí odkaz:
http://arxiv.org/abs/2312.00017
We briefly report and elaborate on some conditions allowing a hydrodynamic description of the impact of a very short and arbitrarily intense laser pulse onto a cold plasma, as well as the localization of the first wave-breaking due to the plasma inho
Externí odkaz:
http://arxiv.org/abs/2310.01349
Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks
Autor:
Filipkovska, Maria
The conditions for the existence, uniqueness and boundedness of global solutions, as well as ultimate boundedness of solutions, and the conditions for the blow-up of solutions of nonregular semilinear differential-algebraic equations are obtained. An
Externí odkaz:
http://arxiv.org/abs/2309.00186
In this paper we propose and solve a generalization of the Bernoulli Differential Equation, by means of a generalized fractional derivative. First we prove a generalization of Gronwall's inequality, which is useful for studying the stability of syste
Externí odkaz:
http://arxiv.org/abs/2307.15755
The discrete collisional breakage equation, which captures the dynamics of cluster growth when clusters encounter binary collisions with possible matter transfer, is discussed in this article. The existence of global mass-conserving solutions is inve
Externí odkaz:
http://arxiv.org/abs/2306.16263
Publikováno v:
Z. Angew. Math. Phys. (2024) 75:10, 1-13
Since Littlewood works in the 1960's, the boundedness of solutions of Duffing-type equations $\ddot{x}+g(x)=p(t)$ has been extensively investigated. More recently, some researches have focused on the family of non-smooth forced oscillators $ \ddot{x}
Externí odkaz:
http://arxiv.org/abs/2305.13457