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分数阶Kirchhoff型微分方程Dirichlet边值问题的研究

Study on Dirichlet Boundary Value Problems of Fractional Kirchhoff Type Differential Equations
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摘要 本文应用不动点定理研究一类不带P.S.条件的分数阶Kirchhoff型微分方程Dirichlet边值问题弱解的存在性. This paper applies the fixed point theorem to study the existence of weak solutions to Dirichlet boundary value problem of a class of fractional Kirchhoff type differential equations without P.S. conditions.
作者 薛婷婷 刘元彬 汪秀娟 XUE Tingting;LIU Yuanbin;WANG Xiujuan(School of Mathematics and Physics,Xinjiang Institute of Engineering,Urumqi 830000,China)
出处 《应用数学》 CSCD 北大核心 2022年第1期156-163,共8页 Mathematica Applicata
基金 新疆维吾尔自治区科技厅青年基金项目(2021D01B35) 新疆维吾尔自治区高校科研计划自然科学项目(XJEDU2021Y048) 新疆工程学院博士启动基金(2020xgy012302)。
关键词 Kirchhoff型方程 不动点定理 边值问题 弱解 Kirchhoff type equation Fixed point theorem Boundary value problem Weak solution
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