Existence and uniqueness of a periodic solution to an indefinite attractive singular equation

0459380 - MÚ 2017 RIV DE eng J - Článek v odborném periodiku
Hakl, Robert - Zamora, M.
Existence and uniqueness of a periodic solution to an indefinite attractive singular equation.
Annali di Matematica Pura ed Applicata. Roč. 195, č. 3 (2016), s. 995-1009. ISSN 0373-3114. E-ISSN 1618-1891
Institucionální podpora: RVO:67985840
Klíčová slova: singular differential equation * periodic solution * uniqueness
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.864, rok: 2016
http://link.springer.com/article/10.1007%2Fs10231-015-0501-3

The existence of periodic solutions to differential equations with a singularity at the state variable is studied, extending the recently found existing relation to differential equations with attractive singularity, where the order of the singularity and the regularity of the input functions are closely connected. The results related to the classic open problems in the field of singular equations. The question about uniqueness is also discussed.
Trvalý link: http://hdl.handle.net/11104/0259584