| 一类可变号二阶三点边值问题拟对称正解的研究 |
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| 引用本文： | 韩晓虎,周长杰,郭彦平. 一类可变号二阶三点边值问题拟对称正解的研究[J]. 河北科技大学学报, 2010, 31(5): 390-395 |
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| 作者姓名： | 韩晓虎 周长杰 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;河北行政学院综合部,河北石家庄,050031;河北科技大学理学院,河北石家庄,050018 |
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| 基金项目： | 国家自然科学基金资助项目,河北省自然科学基金资助项目 |
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| 摘 要： | 微分方程有着深刻而生动的实际背景,它在许多领域发挥着重要的作用,所以微分方程边值问题解的定性研究是十分重要的。利用新不动点定理证明了一类可变号的带p-拉普拉斯算子二阶三点边值问题拟对称正解的存在性。
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| 关 键 词： | 边值问题 不动点定理 拟对称 |
| 收稿时间： | 2010-03-15 |
Positive pseudo-symmetric solutions of boundary value problems for second-order quasilinear differential equation with sign changing nonlinearities |
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| HAN Xiao-hu,ZHOU Chang-jie and GUO Yan-ping. Positive pseudo-symmetric solutions of boundary value problems for second-order quasilinear differential equation with sign changing nonlinearities[J]. Journal of Hebei University of Science and Technology, 2010, 31(5): 390-395 |
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| Authors: | HAN Xiao-hu ZHOU Chang-jie GUO Yan-ping |
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| Affiliation: | 1.College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;2.Department of Comprehensive,Hebei Academy of Governance,Shijiazhuang Hebei 050031,China) |
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| Abstract: | Differential equations,for its profound and vivid actual background,play an important role in many fields,so the research in the existence of positive solutions of boundary value problems for differential equations has become a focus.In this paper,by using a new fixed point theorem,we obtain pseudo-symmetric solutions for three-point p-Laplacian boundary value problems with dependence on the first order derivative. |
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| Keywords: | boundary value problem fixed point theorem pseudo-symmetric solution |
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