Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Massimo Tarallo"'
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34e52c24469ac5c8cf6debd876bcd335
https://doi.org/10.1007/s10884-020-09886-9
https://doi.org/10.1007/s10884-020-09886-9
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::715106ba95e7f8639dfe8a1ed34fbc18
https://doi.org/10.1007/s10884-019-09792-9
https://doi.org/10.1007/s10884-019-09792-9
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b702e38d3b047baebb45fd92749d5095
https://doi.org/10.3934/dcds.2018014
https://doi.org/10.3934/dcds.2018014
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::808131dde15c39f1c2170fe006756e7c
https://doi.org/10.1016/j.jde.2017.03.014
https://doi.org/10.1016/j.jde.2017.03.014
Publikováno v:
UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname
instname
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ca3cb25e2daa13120437345363a34a3
https://doi.org/10.1016/j.jde.2016.09.041
https://doi.org/10.1016/j.jde.2016.09.041
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac1ca3effc93de77e2cc0261efa16873
https://doi.org/10.1016/j.jde.2013.10.018
https://doi.org/10.1016/j.jde.2013.10.018
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.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb28598392d7b4169bfde502da3e8cde
https://doi.org/10.1007/s10884-013-9309-2
https://doi.org/10.1007/s10884-013-9309-2
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
Autor:
Juan Campos, Massimo Tarallo
Publikováno v:
Journal of Differential Equations. 254:686-724
We consider the scalar differential equation u ˙ = f ( u ) + c h ( t ) where f ( u ) is a jumping nonlinearity and h ( t ) is an almost periodic function, while c is a real parameter deciding the size of the forcing term. The main result is that, if
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6112ddb83a6f3089eb0211d0b7b7af9d
https://doi.org/10.1016/j.jde.2012.09.013
https://doi.org/10.1016/j.jde.2012.09.013
Autor:
Massimo Tarallo
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 32:2301-2313
A Fredholm alternative is proposed for linear almost periodic equations which satisfy the Favard separation condition. The alternative is then tested in the special case, where all the solutions of the homogeneous part of the equation are bounded.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34a4d3722a2fc8d95924f717f368b216
https://doi.org/10.3934/dcds.2012.32.2301
https://doi.org/10.3934/dcds.2012.32.2301