Periodicity and positivity in nonlinear neutral integro-dynamic equations with variable delay

Autor:	Abdelouaheb Ardjouni, Ahcene Djoudi, Malik Belaid
Rok vydání:	2020
Předmět:	Nonlinear system Variable (computer science) General Mathematics Mathematical analysis Dynamic equation Mathematics
Zdroj:	MATHEMATICA. 62:117-132
ISSN:	2601-744X 1222-9016
DOI:	10.24193/mathcluj.2020.2.02
Popis:	Let T be a periodic time scale. We use Krasnoselskii's fixed point theorem for a sum of two operators to show new results on the existence of periodic and positive periodic solutions of a nonlinear neutral integro-dynamic equation with variable delay. We invert this equation to construct a sum of a contraction and a completely continuous map which is suitable for applying Krasnoselskii's theorem. The uniqueness results of this equation are studied by the contraction mapping principle.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d83647477ed196d25f682d2619f4c7dd https://doi.org/10.24193/mathcluj.2020.2.02 Zobrazit plný text záznamu