INFINITELY MANY SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER SYSTEMS WITH IMPULSIVE EFFECTS

Chun Li; Lin Li; He Yang

doi:10.11948/20180131

2020 Volume 10 Issue 2

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Chun Li, Lin Li, He Yang. INFINITELY MANY SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER SYSTEMS WITH IMPULSIVE EFFECTS[J]. Journal of Applied Analysis & Computation, 2020, 10(2): 427-441. doi: 10.11948/20180131

Citation:

Chun Li, Lin Li, He Yang. INFINITELY MANY SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER SYSTEMS WITH IMPULSIVE EFFECTS[J]. Journal of Applied Analysis & Computation, 2020, 10(2): 427-441. doi: 10.11948/20180131

INFINITELY MANY SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER SYSTEMS WITH IMPULSIVE EFFECTS

1.
School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
2.
School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China
3.
Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

Corresponding author: Email address: Lch1999@swu.edu.cn(C. Li)
Fund Project: The authors were supported by the Natural Science Foundation of Chongqing (No. cstc2017jcyjAX0044), the National Natural Science Foundation of China (No. 11971393), the Fundamental Research Funds for the Central Universities (No. XDJK2019B068)

Abstract

Abstract

In this paper, we establish the existence of infinitely many solutions for a class of non-autonomous second-order systems with impulsive effects. Our technique is based on the Fountain Theorem of Bartsch and the Symmetric Mountain Pass Lemma due to Kajikiya.
- Second-order systems /
- impulsive effects /
- Fountain Theorem /
- Symmetric Mountain Pass Lemma
MSC: 34B15, 34B37, 58E30

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References

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