Zobrazeno 1 - 10
of 613
pro vyhledávání: '"34A05"'
Autor:
Christopher, Colin, Walcher, Sebastian
We consider two aspects related to the Prelle-Singer theorem on elementary integrability of rational vector fields over $\mathbb C$. First, we present an alternative proof of this theorem which uses techniques developed in a recent paper. Second, ele
Externí odkaz:
http://arxiv.org/abs/2412.16550
Autor:
García, Isaac A., Giné, Jaume
In this work we deal with analytic families of real planar vector fields $\mathcal{X}_\lambda$ having a monodromic singularity at the origin for any $\lambda \in \Lambda \subset \mathbb{R}^p$ and depending analytically on the parameters $\lambda$. Th
Externí odkaz:
http://arxiv.org/abs/2412.09197
Autor:
Pathiraja, Sahani, Wacker, Philipp
The replicator-mutator equation is a model for populations of individuals carrying different traits, with a fitness function mediating their ability to replicate, and a stochastic model for mutation. We derive analytical solutions for the replicator-
Externí odkaz:
http://arxiv.org/abs/2412.08178
We deal with a Leslie-Gower predator-prey model with a generalist or alternating food for predator and linear functional response. Using a topological equivalent polynomial system we prove that the system is not Liouvillian (hence also not Darboux) i
Externí odkaz:
http://arxiv.org/abs/2410.10104
Autor:
Cinque, Fabrizio, Orsingher, Enzo
We present a systematic study of higher-order Airy-type differential equations providing the explicit form of the solutions, deriving their power series expansions and a probabilistic interpretation. Under suitable convergence hypotheses, we compute
Externí odkaz:
http://arxiv.org/abs/2410.07729
Autor:
Frew, Jack, Keyser, Nigel, Kim, Ethan, Paddock, Griffin, Toumbleston, Camden, Wilson, Sara, Tsikkou, Charis
We consider a system of two balance laws of Keyfitz-Kranzer type with varying generalized Chaplygin gas, which exhibits negative pressure and is a product of a function of time and the inverse of a power of the density. The Chaplygin gas is a fluid d
Externí odkaz:
http://arxiv.org/abs/2407.20869
Autor:
Bluman, George W., de la Rosa, Rafael
In this paper, we further consider the symmetry-based method for seeking nonlocally related systems for partial differential equations. In particular, we show that the symmetry-based method for partial differential equations is the natural extension
Externí odkaz:
http://arxiv.org/abs/2407.09063
Given a semi-Riemannian manifold $(M,\langle \cdot,\cdot\rangle_g),$ we use the transnormal functions defined on $M$ to reduce fully nonlinear first order PDEs of the form \[ F(x,u,\langle \nabla_g u, \nabla_g u \rangle_g) = 0,\qquad \text{on }M \] i
Externí odkaz:
http://arxiv.org/abs/2407.01954
Autor:
Beauduin, Kei
Publikováno v:
Enumer. Comb. Appl. 5:1 (2025) Article S2R4
In this paper, we derive formal general formulas for noncommutative exponentiation and the exponential function, while also revisiting an unrecognized, and yet powerful theorem. These tools are subsequently applied to derive counterparts for the expo
Externí odkaz:
http://arxiv.org/abs/2405.03001
Autor:
Baake, Michael, Sumner, Jeremy
Markov matrices of equal-input type constitute a widely used model class. The corresponding equal-input generators span an interesting subalgebra of the real matrices with zero row sums. Here, we summarise some of their amazing properties and discuss
Externí odkaz:
http://arxiv.org/abs/2404.11222