Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Massimo Tarallo"'
Autor:
Alessandro Fonda, Rodica Toader
Publikováno v:
Discrete & Continuous Dynamical Systems. 41:3683
We prove the existence of bounded and periodic solutions for planar systems by introducing a notion of lower and upper solutions which generalizes the classical one for scalar second order equations. The proof relies on phase plane analysis; after su
Autor:
Fonda, Alessandro, Toader, Rodica
Publikováno v:
Discrete & Continuous Dynamical Systems: Series A; Aug2021, Vol. 41 Issue 8, p3683-3708, 26p
Autor:
Massimo Tarallo, Juan Campos
Publikováno v:
Journal of Dynamics and Differential Equations. 33:2133-2153
We give a new proof for an enhanced version, due to Coppel, of the well known functional characterization of exponential dichotomies. The approach is especially new for scalar equations and is based on the Ekeland Variational Principle, that replaces
Autor:
Juan Campos, Massimo Tarallo
Publikováno v:
Journal of Dynamics and Differential Equations. 32:1475-1509
When the Favard separation condition fails, a linear almost periodic equation possessing bounded solutions may have no almost periodic solutions, or equivalently, no continuous solutions in hull. Almost automorphic solutions are however known to pers
Autor:
Zhe Zhou, Massimo Tarallo
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 38:293-309
The method of upper and lower solutions is a main tool to prove the existence of periodic solutions to periodic differential equations. It is known that, in general, the method does not extend to the almost periodic case. The aim of the present paper
Autor:
Juan Campos, Massimo Tarallo
Publikováno v:
Journal of Differential Equations. 263:1323-1386
Consider a non-linear differential equation in R N which asymptotically behaves as a linear equation admitting an exponential dichotomy. We wonder if almost periodic solutions exist when we add to the equation an almost periodic forcing term, large e
Publikováno v:
UVaDOC. Repositorio Documental de la Universidad de Valladolid
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Producción Científica
Fredholm Alternative is a classical tool of periodic linear equations, allowing to describe the existence of periodic solutions of an inhomogeneous equation in terms of the adjoint equation. A few partial extensions have
Fredholm Alternative is a classical tool of periodic linear equations, allowing to describe the existence of periodic solutions of an inhomogeneous equation in terms of the adjoint equation. A few partial extensions have
Autor:
Juan Campos, Massimo Tarallo
Publikováno v:
Journal of Differential Equations. 256:1350-1367
We prove that linear almost periodic systems always carry almost automorphic dynamics, thus confirming in this case a more general conjecture by Shen and Yi. The result is based on the accurate description of the breakdown of the Favard separation co
Autor:
Massimo Tarallo
Publikováno v:
Journal of Dynamics and Differential Equations. 25:291-304
For linear systems which depend almost periodically on time, the Favard separation condition is shown to be equivalent to the following dimensional fact: all the systems in the hull have the same number of independent bounded solutions.
Publikováno v:
UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname
instname
Producción Científica
We discuss the existence of a Fredholm--type Alternative for a recurrent second order linear equation, which is disconjugate in a strong sense. The basic result is about bounded solutions of equations with bounded coeffic
We discuss the existence of a Fredholm--type Alternative for a recurrent second order linear equation, which is disconjugate in a strong sense. The basic result is about bounded solutions of equations with bounded coeffic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e47c2060426371f7c4f5ba87ad26471
https://doi.org/10.3934/cpaa.2017059
https://doi.org/10.3934/cpaa.2017059