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.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11661071，12061062
Funding source: Science Research Project for Colleges and Universities of Gansu Province
Award Identifier / Grant number: No. 2022A-010
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: Supported by the National Natural Science Foundation of China (Grant No. 11661071, 12061062). Science Research Project for Colleges and Universities of Gansu Province (No. 2022A-010).
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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