Nontrivial solutions for a fourth-order Riemann-Stieltjes integral boundary value problem
In this paper we study a fourth-order differential equation with Riemann-Stieltjes integral boundary conditions. We consider two cases, namely when the nonlinearity satisfies superlinear growth conditions (we use topological degree to obtain an existence theorem on nontrivial solutions), when the no...
| 出版年: | AIMS Mathematics |
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| 主要な著者: | , , , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
AIMS Press
2023-02-01
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| 主題: | |
| オンライン･アクセス: | https://www.aimspress.com/article/doi/10.3934/math.2023458?viewType=HTML |
| 要約: | In this paper we study a fourth-order differential equation with Riemann-Stieltjes integral boundary conditions. We consider two cases, namely when the nonlinearity satisfies superlinear growth conditions (we use topological degree to obtain an existence theorem on nontrivial solutions), when the nonlinearity satisfies a one-sided Lipschitz condition (we use the method of upper-lower solutions to obtain extremal solutions). |
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| ISSN: | 2473-6988 |