| 三阶Ρ-Laplace耦合奇异边值问题的正解 |
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| 引用本文： | 蔡增霞,张咸昭,刘立山. 三阶Ρ-Laplace耦合奇异边值问题的正解[J]. 应用数学学报, 2012, 35(3): 421-429 |
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| 作者姓名： | 蔡增霞 张咸昭 刘立山 |
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| 作者单位： | 1. 临沂大学理学院,临沂,276005
2. 曲阜师范大学数学科学学院,曲阜,273165 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
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| 摘 要： | 本文通过构造Banach空间上的算子和运用不动点指数定理研究了一类含p-Laplace算子的三阶耦合奇异边值问题,并给出这类问题正解存在性的条件.
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| 关 键 词： | 耦合奇异边值问题 正解 不动点理论 |
Positive Solutions for Third-order p-Laplacian Coupled Singular for Boundary Value Problems |
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| CAI ZENGXIA , ZHANG XIANZHAO , LIU LISHAN. Positive Solutions for Third-order p-Laplacian Coupled Singular for Boundary Value Problems[J]. Acta Mathematicae Applicatae Sinica, 2012, 35(3): 421-429 |
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| Authors: | CAI ZENGXIA ZHANG XIANZHAO LIU LISHAN |
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| Affiliation: | (Department of Mathematics,QuFu Normal University,QuFu 273165) |
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| Abstract: | By constructing operators in Banach space and combining the fixed point theorem, the authors study a class of third-oder p-Laplacian coupled singular boundary value problems and present the conditions for the existence of positive solutions. |
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| Keywords: | coupled singular boundary value problem positive solution fixed point theorem |
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