| 带有p-Laplacian算子的高阶微分方程组边值问题多个正解的存在性 |
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| 引用本文： | 郭少聪,纪玉德,郭彦平. 带有p-Laplacian算子的高阶微分方程组边值问题多个正解的存在性[J]. 数学的实践与认识, 2011, 41(6) |
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| 作者姓名： | 郭少聪 纪玉德 郭彦平 |
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| 作者单位： | 河北科技大学理学院,河北石家庄,050018 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金，河北科技大学科学研究基金 |
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| 摘 要： | 利用五个泛函的不动点定理,证明了带有p-Laplacian算子的高阶微分方程组边值问题多组正解的存在性.其中n≥2,Φ_p(s)=|s|~(p~(-2))s,p>1.
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| 关 键 词： | 边值问题 锥 五个泛函的不动点定理 p-Laplacian算子 |
Existence of Multiple Positive Solutions for Boundary Value Problems of Higher-Order Systems with p-Laplacian |
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| GUO Shao-cong,JI Yu-de,GUO Yan-ping. Existence of Multiple Positive Solutions for Boundary Value Problems of Higher-Order Systems with p-Laplacian[J]. Mathematics in Practice and Theory, 2011, 41(6) |
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| Authors: | GUO Shao-cong JI Yu-de GUO Yan-ping |
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| Abstract: | Using five functions fixed point theorem,we prove the existence of multiple positive solutions for boundary value problems of higher-order systems with p-Laplacian: where n≥2,φ_p(s) =|s|~(p-2),p>1. |
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| Keywords: | boundary value problem cone five functions fixed point theorem p-Laplacian operator |
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