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

Nonautonomous Dynamical Systems

Djoudi Ahcene¹  Ardjouni Abdelouaheb²  Mansouri Bouzid³ 

[1] Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria;Faculty of Sciences and Technology, Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria;Technical and Teacher Training School, Skikda, 21000, Algeria;

关键词: positive solutions;    fourth order differential equations;    iterative differential equations;    boundary value problems;    schauder fixed point theorem;    34b15;    34k10;   

DOI  :  10.1515/msds-2020-0139

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown