Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Flaviano Battelli"'
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 27, Pp 1-30 (2024)
We derive Melnikov type conditions for the persistence of heteroclinic solutions in perturbed slowly varying discontinuous differential equations. Opposite to [J. Differential Equations 400(2024), 314–375] we assume that the unperturbed (frozen) eq
Externí odkaz:
https://doaj.org/article/a6e90f5d5b0c409f86b28ae380ed98de
Autor:
Flaviano Battelli, Michal Fečkan
Publikováno v:
Mathematics, Vol 9, Iss 19, p 2449 (2021)
We study persistence of periodic solutions of perturbed slowly varying discontinuous differential equations assuming that the unperturbed (frozen) equation has a non singular periodic solution. The results of this paper are motivated by a result of H
Externí odkaz:
https://doaj.org/article/ba1ba650bf484e3397ebc2813fb405d9
Autor:
Flaviano Battelli, Michal Fečkan
Publikováno v:
Mathematics, Vol 8, Iss 4, p 651 (2020)
An exponential dichotomy is studied for linear differential equations. A constructive method is presented to derive a roughness result for perturbations giving exponents of the dichotomy as well as an estimate of the norm of the difference between th
Externí odkaz:
https://doaj.org/article/b05b41089c784d4fbd5c1ace317292a2
Autor:
Flaviano Battelli, Michal Feckan
Publikováno v:
Electronic Journal of Differential Equations, Vol 2002, Iss 13, Pp 1-29 (2002)
We study the Melnikov function associated with a periodic perturbation of a differential equation having a homoclinic orbit. Our main interest is the characterization of perturbations that give rise to vanishing or non-vanishing of the Melnikov funct
Externí odkaz:
https://doaj.org/article/84717c07b718436cb42f0fdfa073516e
Autor:
Flaviano Battelli, Michal Fečkan
Publikováno v:
Journal of Dynamics and Differential Equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41cf0646ccd85a266514a4a045433cfa
https://doi.org/10.1007/s10884-022-10234-2
https://doi.org/10.1007/s10884-022-10234-2
Autor:
Flaviano Battelli, Michal Fečkan
Publikováno v:
Journal of Dynamics and Differential Equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17b118f80a2603ef48c8386c3d13ed7b
https://doi.org/10.1007/s10884-022-10155-0
https://doi.org/10.1007/s10884-022-10155-0
Autor:
Michal Fečkan, Flaviano Battelli
Publikováno v:
Journal of Dynamics and Differential Equations. 34:365-397
Existence of solutions connecting a singularity of a perturbed implicit differential equations is studied. It is assumed that the unperturbed differential equation has a solution of the same kind. By a suitable, nonlinear, change of coordinates these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eea275ae47f8d47952260c8b780ebc6b
https://doi.org/10.1007/s10884-020-09859-y
https://doi.org/10.1007/s10884-020-09859-y
Autor:
Flaviano Battelli, Michal Fečkan
Publikováno v:
Journal of Differential Equations. 268:3725-3748
The persistence of periodic, grazing and impact solutions is studied for periodically perturbed ordinary differential equations with impacts. An approach of the Poincare-Adronov-Melnikov method is applied. It is based on introducing and studying an a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::365d8781bc5f85a5525190b9aab71fb5
https://doi.org/10.1016/j.jde.2019.10.014
https://doi.org/10.1016/j.jde.2019.10.014
In this article we study exponential dichotomies for noninvertible linear difference equations in finite dimensions. After giving the definition, we study the extent to which the projection $P(k)$ in a dichotomy is unique. For equations on $\mathbb{Z
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::349e32ac19bc00f7fd357a14acb4d709
http://arxiv.org/abs/2111.04553
http://arxiv.org/abs/2111.04553
Autor:
Michal Fečkan, Flaviano Battelli
Publikováno v:
Mathematics, Vol 9, Iss 2449, p 2449 (2021)
Mathematics
Volume 9
Issue 19
Mathematics
Volume 9
Issue 19
We study persistence of periodic solutions of perturbed slowly varying discontinuous differential equations assuming that the unperturbed (frozen) equation has a non singular periodic solution. The results of this paper are motivated by a result of H
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::358de3fc4c3bfb1f6d9a9988f30fd824
https://www.mdpi.com/2227-7390/9/19/2449
https://www.mdpi.com/2227-7390/9/19/2449