Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (4): 857-868.

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

Yue Wang1(),Hongmin Suo2(),Wei Wei1,3,*()   

  1. 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)

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

CLC Number: 

  • O175.23
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