无边界约束的一类新Kirchhoff型问题的古典解

数学物理学报 ›› 2020, Vol. 40 ›› Issue (4): 857-868.

无边界约束的一类新Kirchhoff型问题的古典解

王跃¹(),索洪敏²(),韦维^1,^3,*()

¹ 贵州大学数学与统计学院贵阳 550025
² 贵州民族大学数据科学与信息工程学院贵阳 550025
³ 贵州师范学院数学与大数据学院贵阳 550018

收稿日期:2019-07-04 出版日期:2020-08-26 发布日期:2020-08-20
通讯作者: 韦维 E-mail:yuewn@sina.cn;gzmysxx88@sina.com;wwei@gzu.edu.cn
作者简介:王跃, E-mail:yuewn@sina.cn|索洪敏, E-mail:gzmysxx88@sina.com
基金资助:
国家自然科学基金(11761021);国家自然科学基金(11661021);国家自然科学基金(11861021)

Classical Solutions for a Kind of New Kirchhoff-Type Problems Without Boundary Constraint

Yue Wang¹(),Hongmin Suo²(),Wei Wei^1,^3,*()

¹ School of Mathematics and Statistics, Guizhou University, Guiyang 550025
² School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025
³ School of Mathematics and Big Data, Guizhou Education University, Guiyang 550018

Received:2019-07-04 Online:2020-08-26 Published:2020-08-20
Contact: Wei Wei E-mail:yuewn@sina.cn;gzmysxx88@sina.com;wwei@gzu.edu.cn
Supported by:
the NSFC(11761021);the NSFC(11661021);the NSFC(11861021)

摘要/Abstract

摘要：

该文在有界矩体上考虑纯指数型右端项的一类新Kirchhoff型问题古典解的存在性，利用相关的分析技巧，当满足"指数不是-1"时构造出一系列函数满足求解的问题，从而得出古典解的一族表达式，同时通过实例加以说明和论证给出的结果.

关键词: 古典解, 指数型右端项, 新Kirchhoff型问题, 函数构造

Abstract:

The existence of classical solutions for a class of new Kirchhoff-type problems with unadulterated exponential item at right are considered on boundary cuboid in this article, and all results on the theoretical basis are based on constructors of functions. We show that the exact expressions of classical solutions with all exponents except the minus one by using the techniques of analysis associated with it. At the same time, we give some examples to explaining and verifying our conclusion.

Key words: Classical solution, Exponential item at right, New Kirchhoff-type problem, Constructor of function

中图分类号:

O175.23

王跃,索洪敏,韦维. 无边界约束的一类新Kirchhoff型问题的古典解[J]. 数学物理学报, 2020, 40(4): 857-868.

Yue Wang,Hongmin Suo,Wei Wei. Classical Solutions for a Kind of New Kirchhoff-Type Problems Without Boundary Constraint[J]. Acta mathematica scientia,Series A, 2020, 40(4): 857-868.

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