Zobrazeno 1 - 10
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pro vyhledávání: '"Pinto, Manuel P."'
We address the Poincar\'e-Perron's classical problem of approximation for high order linear differential equations in the class of almost periodic type functions, extending the results for a second order linear differential equation in [23]. We obtai
Externí odkaz:
http://arxiv.org/abs/2407.14444
In the present work, we prove that, if $A(\cdot)$ is a compact almost automorphic matrix and the system $$x'(t) = A(t)x(t)\, ,$$ possesses an exponential dichotomy with Green function $G(\cdot, \cdot)$, then its associated system $$y'(t) = B(t)y(t)\,
Externí odkaz:
http://arxiv.org/abs/2404.16758
Autor:
Torres, Ricardo, Pinto, Manuel
In this work, we give a variation of parameters formula for nonautonomous linear impulsive differential equations with piecewise constant arguments of generalized type. We cover several cases of differential equations with deviated arguments investig
Externí odkaz:
http://arxiv.org/abs/2402.18843
Hartman-Grobman theorem was initially extended to the non-autonomous cases by Palmer. Usually, dichotomy is an essential condition of Palmer's linearization theorem. Is Palmer's linearization theorem valid for the systems with trichotomy? In this pap
Externí odkaz:
http://arxiv.org/abs/2303.00151
Publikováno v:
Ciência e Técnica Vitivinícola, Vol 39, Iss 1, Pp 30-50 (2024)
The PROVA-ALABE essay aims to characterize the olfactory, tactile and taste changes underlying the sensory evaluation of wines. It allows assessors to understand the extent to which their perception of a wine is harmonized with that of the other asse
Externí odkaz:
https://doaj.org/article/7c1000b63f174789a8ef671677d7ea6d
The classical $C^0$ linearization theorem for the non-autonomous differential equations states the existence of a $C^0$ topological conjugacy between the nonlinear system and its linear part. That is, there exists a homeomorphism (equivalent function
Externí odkaz:
http://arxiv.org/abs/2202.02485
Hein and Pr\"{u}ss [J. Differential Equations, 261(2016)4709-4727] presented a version of Hartman-Grobman type $C^{0}$ linearization result for semilinear hyperbolic evolution equations. They showed that the linearising map (homomorphism) and its inv
Externí odkaz:
http://arxiv.org/abs/2201.13337
Higher regularity of homeomorphisms in the Hartman-Grobman theorem and a conjecture on its sharpness
Hartman-Grobman theorem states that there is a homeomorphism H sending the solutions of the nonlinear system onto those of its linearization under suitable assumptions. Many mathematicians have made contributions to prove H\"older continuity of the h
Externí odkaz:
http://arxiv.org/abs/2201.12945
Algebraic dichotomy is a generalization of an exponential dichotomy (Lin, JDE2009). This paper gives a version of Hartman-Grobman linearization theorem assuming that linear system admits an algebraic dichotomy, which generalizes the Palmer's lineariz
Externí odkaz:
http://arxiv.org/abs/2201.12037
We address asymptotic formulae for the classical Poincar\'e-Perron problem of linear differential equations with almost constant coefficients in a half line $[t_0,+\infty)$ for high order equation $n\ge 5$ and some $t_0\in\mathbb{R}$. By using a scal
Externí odkaz:
http://arxiv.org/abs/2111.05467