Existence of nontrivial solutions for a nonlinear fourth-order boundary value problem via iterative method | Zendy

Chengbo Zhai | Zendy; Chunrong Jiang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Existence of nontrivial solutions for a nonlinear fourth-order boundary value problem via iterative method

Author(s) -

Chengbo Zhai,

Chunrong Jiang

Publication year - 2016

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.009.06.71

Subject(s) - mathematics , boundary value problem , nonlinear system , order (exchange) , mathematical analysis , value (mathematics) , iterative method , mathematical optimization , statistics , physics , finance , quantum mechanics , economics

In this article, we study a nonlinear fourth-order differential equation two-point boundary value problem. We use monotone iterative technique and lower and upper solutions of completely continuous operators to get the existence of nontrivial solutions for the problem. The results can guarantee the existence of nontrivial sign-changing solutions and positive solutions, and we can construct two iterative sequences for approximating them. Finally, two examples are given to illustrate the main results. ©2016 All rights reserved.

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