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一类分数阶p-Laplacian四点边值问题正解的不存在性
引用本文:王和香.一类分数阶p-Laplacian四点边值问题正解的不存在性[J].数学的实践与认识,2020(10):225-230.
作者姓名:王和香
作者单位:喀什大学数学与统计学院
基金项目:新疆维吾尔自治区自然科学基金项目(2019D01B01)。
摘    要:在含p-Laplacian算子的基础上,研究一类分数阶四点边值问题正解的不存在性.通过给出非线性项和参数,得到边值问题无正解的充分条件,并举例验证所得结果的有效性.

关 键 词:分数阶边值问题  p-Laplacian算子  正解

Nonexistence of Positive Solutions for a Four Point Boundary Value Problem with P-Laplacian Operators
WANG He-xiang.Nonexistence of Positive Solutions for a Four Point Boundary Value Problem with P-Laplacian Operators[J].Mathematics in Practice and Theory,2020(10):225-230.
Authors:WANG He-xiang
Institution:(School of Mathematics and Statistic,Kashgar University,Kashgar 844006,China)
Abstract:Based on the p-Laplacian operator,we research the nonexistence of positive solutions for a class of four point boundary value problem of fractional differential equation.By giving nonlinear term and the parameter,obtain the sufficient conditions for the nonexistence of positive solutions and examine the efficiency for the results via examples.
Keywords:fractional boundary value problem  p-Laplacian operator  positive solution
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