| 孙彦.非线性奇异弹性梁方程组正解的存在性[J].数学年刊A辑,2013,34(4):429~442 |
| 非线性奇异弹性梁方程组正解的存在性 |
| Existence of Positive Solutions to a Nonlinear SingularCoupled Elastic Beam System |
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| DOI： |
| 中文关键词: 锥, 正解, 存在性, 奇异边值问题 |
| 英文关键词:Cone, Positive solution, Existence, Singular boundary value problem |
| 基金项目:上海市自然科学基金 (No.13ZR1430100) 和上海师范大学原创与前瞻性预研项目(No.DYL201105) |
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| 中文摘要: |
| 利用不动点理论, 通过构造特殊的锥,
研究了弹性梁方程组正解的存在性. 最后,
通过具体的例子说明了主要结果的有效性. |
| 英文摘要: |
| In this paper, the existence of positive solutions to a nonlinear singular coupled
elastic beam system is investigated by constructing a special cone and applying a fixed point
theory. Finally, some discussions and examples are given to demonstrate the validity of the
main results. |
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