A study on solvability of the fourth-order nonlinear boundary value problems-Reference-Cited by-同舟云学术

A study on solvability of the fourth-order nonlinear boundary value problems

Published:2022-10-14 Issue:0 Volume:0 Page:
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Gou Haide¹

Affiliation:

1. College of Mathematics and Statistics , Northwest Normal University , Lanzhou , 730070 , P. R. China

Abstract

Abstract The purpose of the paper is devoted to proving the solvability of the fourth order boundary value problem. Firstly, we build a maximum principle for the corresponding linear equation, by the use of this maximum principle, we develop a monotone iterative technique in the presence of lower and upper solutions to solve the nonlinear equation, secondly, the existence and uniqueness results for the problem is obtained. In addition, an example is presented to show the application of our main results.

Funder

National Natural Science Foundation of China

Science Research Project for Colleges and Universities of Gansu Province

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0052/pdf

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