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测度链上的非线性微分方程的正解 被引量：4

Positive Solutions of Nonlinear Differential Equations on a Measure Chain
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摘要 应用锥理论和不动点指数方法，在与相应的线性算子第一特征值有关的条件下，获得了测度链上的非线性微分方程Lx（t）=-[τ（t）x^△（t）]^△=f（t，z（σ（t）））的正解的存在性． By applying the theory of fixed point index and the cone theory, the existence of positive solutions for the nonlinear differential equation on a measure chain Lx（t）=-[τ（t）x^△（t）]^△=f（t,z（σ（t））） is considered under some conditions concerning the first eigenvalue corresponding to the relevant linear operator.
作者 李红玉 孙经先 崔玉军
机构地区 山东科技大学信息科学与工程学院 徐州师范大学数学系
出处 《数学年刊（A辑）》 CSCD 北大核心 2009年第1期97-106,共10页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.10671167) 山东科技大学科学研究春蕾计划(No.2008AZZ050)资助的项目.
关键词 测度链上的非线性微分方程 正解 不动点指数 锥 Nonlinear differential equations on a measure chain, Positivesolution, Fixed point index, Cone
分类号 O175.8 [理学—基础数学] O177.9 [理学—基础数学]
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参考文献12

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共引文献3

同被引文献36

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数学年刊（A辑）
2009年 第1期

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