ANTI-PERIODIC SOLUTION FOR FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATION VIA SADDLE POINT THEOREM

Suiming Shang; Yu Tian; Zhanbing Bai; Min Zhang

doi:10.11948/20190348

2021 Volume 11 Issue 1

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Suiming Shang, Yu Tian, Zhanbing Bai, Min Zhang. ANTI-PERIODIC SOLUTION FOR FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATION VIA SADDLE POINT THEOREM[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 254-270. doi: 10.11948/20190348

Citation:

Suiming Shang, Yu Tian, Zhanbing Bai, Min Zhang. ANTI-PERIODIC SOLUTION FOR FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATION VIA SADDLE POINT THEOREM[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 254-270. doi: 10.11948/20190348

ANTI-PERIODIC SOLUTION FOR FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATION VIA SADDLE POINT THEOREM

1.
College of Mathematics and System Sciencet, Shandong University of Science and Technology, No. 579, Qianwan’gang Road, Qingdao 266590, China
2.
School of Science, Beijing University of Posts and Telecommunications, No.10 Xitucheng Road, Beijing 100876, China

Corresponding author: Email address:zhanbingbai@163.com.(Z.Bai)
Fund Project: National Natural Science Foundation of China(11571207)

Abstract

Abstract

In this paper, the boundary value problem of fourth-order impulsive differential equation is studied. The solution space is decomposed by Riesz-Frechet theorem and eigenvalue theory. The existence of anti-periodic solution is obtained by saddle point theorem. Furthermore, the results in this paper generalize the existing results in [1] and [23].
- Impulsive differential equation /
- Riesz-Frechet theorem /
- Saddlepoint theorem
MSC: 34B15, 35A15

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References

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