| 具有p-Laplacian算子的二阶微分方程Picard边值问题(英文) |
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| 引用本文： | 刘玉记. 具有p-Laplacian算子的二阶微分方程Picard边值问题(英文)[J]. 数学季刊, 2011, 0(1): 77-84 |
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| 作者姓名： | 刘玉记 |
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| 作者单位： | Department of Mathematics;Guangdong University of Business Studies; |
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| 基金项目： | Supported by the Natural Science Foundation of Hunan Province(06JJ50008); Supported by the Natural Science Foundation of Guangdong Province(7004569) |
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| 摘 要： | Suffcient conditions for the existence of at least one solution of two-point boundary value problems for second order nonlinear differential equations {[φ（x（t））] ＋ kx（t） ＋ g（t,x（t）） = p（t）,t ∈（0,π） x（0） = x（π） = 0 are established,where [φ（x）] =（｜x ｜p-2x） with p 1.Our result is new even when [φ（x）] = x in above problem,i.e.p = 2.Examples are presented to illustrate the effciency of the theorem in this paper.
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| 关 键 词： | solutions second order p-Laplacian differential equation two-point boundary value problem fixed-point theorem |
Picard Boundary Value Problems of Second Order p-Laplacian Differential Equations |
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| LIU Yu-ji. Picard Boundary Value Problems of Second Order p-Laplacian Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2011, 0(1): 77-84 |
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| Authors: | LIU Yu-ji |
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| Affiliation: | LIU Yu-ji(Department of Mathematics,Guangdong University of Business Studies,Guangzhou 510320,China) |
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| Abstract: | |
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| Keywords: | solutions second order p-Laplacian differential equation two-point boundary value problem fixed-point theorem |
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