一类分数阶p-Laplacian具积分边界的多点边值问题  

Existence and Uniqueness of Solutions for a Class of Multi-point Boundary Value Problem with P-Laplacian Operator

作　　者：王和香 WANG He-xiang(School of Mathematics and Statistic,Kashi University,Kashi 844006,China)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844006

出　　处：《数学的实践与认识》2021年第5期238-243,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11926336);国家自然科学基金(11926319);新疆维吾尔自治区自然科学基金(2019D01B01)。

摘　　要：利用不动点定理,研究一类含p-Laplacian算子的多点边值问题解的存在性和唯一性.给出一些新的结论,并举例说明所得结果的有效性.By using the fixed point theorems,we study the existence and uniqueness of solutions for a class of multi-point boundary value problem with p-Laplacian operator,some new results are established and an example are given to examine the efficiency for the results via examples.

关 键 词：分数阶边值问题 P-LAPLACIAN算子 多点边值问题 

分 类 号：O175.8[理学—数学]