| 具有pLaplace算子的积分微分方程积分边值问题正解的存在性 |
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| 引用本文： | 王平友,贾梅,窦丽霞. 具有pLaplace算子的积分微分方程积分边值问题正解的存在性[J]. 上海理工大学学报, 2011, 33(4) |
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| 作者姓名： | 王平友 贾梅 窦丽霞 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 基金项目： | 上海市教育委员会科研创新基金重点资助项目(10ZZ93) |
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| 摘 要： | 研究了带有p-Laplace算子的微分积分方程积分边值问题正解的存在性,利用范数形式的锥拉伸与锥压缩不动点定理,得到了边值问题至少存在一个正解的结论.
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| 关 键 词： | 积分边值问题 不动点定理 正解 锥 |
Existence of positive solutions of integral boundary value problems for nonlinear integro differential equations with pLaplacian |
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| WANG Ping you,JIA Mei and DOU Li xia. Existence of positive solutions of integral boundary value problems for nonlinear integro differential equations with pLaplacian[J]. Journal of University of Shanghai For Science and Technology, 2011, 33(4) |
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| Authors: | WANG Ping you JIA Mei DOU Li xia |
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| Affiliation: | WANG Ping-you,JIA Mei,DOU Li-xia,JIN Jing-fu(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China) |
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| Abstract: | The existence of positive solution of integral boundary value problems for nonlinear integro-differential equations with the one-dimensional p-Laplacian was studied.By using the expansion and compression fixed point theorem of norm in cone,the existence of at least one positive solution for this kind of integral boundary value problems was concluded. |
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| Keywords: | integral boundary value problem fixed point theorem positive solutions cone |
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