Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters | Zendy

Ruiting Jiang | Zendy; Chengbo Zhai | Zendy

Open Access

Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters

Author(s) -

Ruiting Jiang,

Chengbo Zhai

Publication year - 2018

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2018.3.7

Subject(s) - mathematics , fixed point theorem , boundary value problem , mathematical analysis , nonlinear system , class (philosophy) , order (exchange) , integral equation , boundary (topology) , green's function , work (physics) , green s , differential (mechanical device) , function (biology) , computer science , physics , finance , quantum mechanics , artificial intelligence , evolutionary biology , economics , biology , thermodynamics

In this work, we investigate a class of nonlinear fourth-order systems with coupled integral boundary conditions and two parameters. We give the Green's functions for the system with boundary conditions, and then obtain some useful properties of the Green's functions. By using the Guo–Krasnosel'skii fixed-point theorem and the Green's functions, some sufficient conditions for the existence of positive solutions are presented. As applications, two examples are presented to illustrate the application of our main results.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research