Positive solutions of nonlinear fourth order iterative differential equations with two-point and integral boundary conditions

This paper provides sufficient conditions to guarantee the existence, uniqueness and continuous dependence of positive solutions of a nonlinear fourth order iterative differential equations with two-point and integral boundary conditions. The main arguments are based on the Schauder fixed point theo...

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Veröffentlicht in:Nonautonomous Dynamical Systems 2021-01, Vol.8 (1), p.297-306
Hauptverfasser: Mansouri, Bouzid, Ardjouni, Abdelouaheb, Djoudi, Ahcene
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Sprache:eng
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Zusammenfassung:This paper provides sufficient conditions to guarantee the existence, uniqueness and continuous dependence of positive solutions of a nonlinear fourth order iterative differential equations with two-point and integral boundary conditions. The main arguments are based on the Schauder fixed point theorem to prove the existence of a positive solution. As an application, we given an example to illustrate the obtained results.
ISSN:2353-0626
2353-0626
DOI:10.1515/msds-2020-0139