MULTIPLE SOLUTIONS FOR SOME NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH THREE-POINT BOUNDARY CONDITIONS VIA VARIATIONAL APPROACH

Yongfang Wei; Zhanbing Bai

doi:10.11948/20210113

2021 Volume 11 Issue 6

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Yongfang Wei, Zhanbing Bai. MULTIPLE SOLUTIONS FOR SOME NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH THREE-POINT BOUNDARY CONDITIONS VIA VARIATIONAL APPROACH[J]. Journal of Applied Analysis & Computation, 2021, 11(6): 3031-3043. doi: 10.11948/20210113

Citation:

Yongfang Wei, Zhanbing Bai. MULTIPLE SOLUTIONS FOR SOME NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH THREE-POINT BOUNDARY CONDITIONS VIA VARIATIONAL APPROACH[J]. Journal of Applied Analysis & Computation, 2021, 11(6): 3031-3043. doi: 10.11948/20210113

MULTIPLE SOLUTIONS FOR SOME NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH THREE-POINT BOUNDARY CONDITIONS VIA VARIATIONAL APPROACH

Yongfang Wei¹,
Zhanbing Bai^1, ,

1.
College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China

Corresponding author: Email address: zhanbingbai@163.com (Z. Bai)
Fund Project: The authors were supported by National Natural Science Foundation of China (No.11571207)

Abstract

Abstract

This paper investigates a class of nonlinear impulsive differential equations with three-point boundary conditions. By using the critical point theory and the variational method, gives the results of multiple solutions. We study the non-local boundary value problem by variational method, and give its variational structure. Finally, two examples are given to prove the results.
- Variational methods /
- impulsive differential equations /
- critical point theory /
- non-local boundary conditions
MSC: 34B15, 34B37, 47J30, 58E05

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References

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