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一维p-Laplacian奇异边值问题的存在性原则 被引量：4

Existence Principles for Singular Boundary Value Problems of One-dimension p-Laplacian
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摘要 利用Schauder不动点原理和非线性Leray-Schauder抉择定理建立了一维p-Laplacian奇异边值问题解的一些存在性原则,并证明了在一定条件下,一维p-Laplacian奇异边值问题解的有界性. The existence principles of the solution for the one-dimension p-Laplacian singular boundary value problem were established by using the Schauder fixed point theorem and nonlinear Leray-Sehauder alterative theorem. It was proved that the solution of the one-dimension p-Laplacian singular boundary value problem is bounded under certain conditions.
作者 翁世有 高海音 张晓颖 蒋达清
机构地区 东北师范大学数学与统计学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2006年第3期351-356,共6页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10171010).
关键词 奇异边值问题 存在性原则 Leray-Schauder抉择 singular boundary value problem existence principles Leray-Schauder ahernative
分类号 O175.08 [理学—基础数学]
  • 相关文献

参考文献18

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二级参考文献3

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共引文献17

同被引文献40

  • 1高海音,李晓月,林晓宁,蒋达清.二阶奇异非线性微分方程周期边值问题解的存在性和多重性[J].吉林大学学报（理学版）,2005,43(4):411-416. 被引量：9
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  • 5ZHEN Jin, MA Zhi-en, HAN Mao-an. The Existence of Periodic Solutions of the n-Species Lotka-Voherra Competition Systems with Impulsive [J]. Chaos, Solitons and Fractals, 2004, 22( 1 ) : 151-188.
  • 6ZHANG Wei-ping, FAN Meng. Periodicity in a Generalized Ecological Competition System Governed by Impulsive Differential Equations with Delays [ J ]. Mathematical and Computer Modelling, 2004, 39(4/5) : 479-493.
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  • 9LI Xiao-yue, LIN Xiao-ning, JIANG Da-qing, et al. Existence and Multiplicity of Positive Periodic Solutions to Functional Differential Equations with Impulse Effects [ J ]. Nonlinear Analysis, 2005, 62 (4) : 683-701.
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引证文献4

二级引证文献16

吉林大学学报（理学版）
2006年 第3期

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