48 citations · 134 across the 20 of their papers we have counts for
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Exponential trichotomy and global linearization of non-autonomous differential equations
Chaofan Pan, Manuel Pinto, Yonghui Xia
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 li…
Higher regularity of homeomorphisms in the Hartman-Grobman theorem and a conjecture on its sharpness
Weijie Lu, Manuel Pinto, Y-H Xia
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 mathem…
Sharpness of conjugacy for the non-autonomous differential equations with Lipschitzian perturbation
Weijie Lu, Manuel Pinto, Y-H. Xia
The classical linearization theorem for the non-autonomous differential equations states the existence of a topological conjugacy between the nonlinear system and its l…
Higher regularity of homeomorphisms in the Hartman-Grobman theorem for semilinear evolution equations
Weijie Lu, Manuel Pinto, Y. H Xia
Hein and Prüss [J. Differential Equations, 261(2016)4709-4727] presented a version of Hartman-Grobman type linearization result for semilinear hyperbolic evolution equation…
A Hartman-Grobman theorem for algebraic dichotomies
Chaofan Pan, Manuel Pinto, Y. H. Xia
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…
On a Poincaré-Perron problem for high order differential equation
H. Bustos, P. Figueroa, Manuel Pinto
We address asymptotic formulae for the classical Poincaré-Perron problem of linear differential equations with almost constant coefficients in a half line for high…