| p-Laplace型非线性泛函差分方程正解的存在性 |
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| 引用本文： | 翁佩萱,郭志浩.p-Laplace型非线性泛函差分方程正解的存在性[J].数学学报,2006,49(1):187-194. |
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| 作者姓名： | 翁佩萱 郭志浩 |
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| 作者单位： | [1]华南师范大学数学系,广州510631 [2]现在广东药学院,广州510631 |
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| 基金项目： | 国家自然科学基金资助项目;广东省自然科学基金资助项目（011471） |
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| 摘 要： | 作者研究下述的p-Laplace型非线性泛函差分方程边值问题正解和多重正解的存在性,得到相应的充分条件,其中Φp(u)=|u|p-2u,P>1,(?)(0)= 0,C+={(?):(?)∈ C,(?)(k)≥0,k∈-r,0])．
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| 关 键 词： | p-Laplace型 非线性泛函差分方程 边值问题 |
| 文章编号： | 0583-1431（2006）01-0187-08 |
| 收稿时间： | 2003-07-31 |
| 修稿时间： | 2003-07-312005-02-17 |
Existence of Positive Solutions for BVP of Nonlinear Functional Difference Equation with p-Laplacian Operator |
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| Pei Xuan WENG, Zhi Hao GUO.Existence of Positive Solutions for BVP of Nonlinear Functional Difference Equation with p-Laplacian Operator[J].Acta Mathematica Sinica,2006,49(1):187-194. |
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| Authors: | Pei Xuan WENG Zhi Hao GUO |
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| Institution: | Pei Xuan WENG Zhi Hao GUO Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China |
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| Abstract: | The existence of positive solutions for boundary value problem of a nonlinear functional difference equation with p-Laplacian operator is investigated, where Φp(u) = |u|p-2u, p > 1, (?)(0) = 0, C+ = {(?) :(?) C, (?)(k)≥ 0, k ∈ -(?),0]}. Sufficent conditions are obtained for the existence of at least one positive solution and two positive solutions. |
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| Keywords: | p-Laplacian operator nonlinear functional difference equation boundary value problem |
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