RETRACTED ARTICLE: PERIODIC SOLUTIONS OF SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS AT RESONANCE VIA VARIATIONAL APPROACH-Reference-Cited by-同舟云学术

RETRACTED ARTICLE: PERIODIC SOLUTIONS OF SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS AT RESONANCE VIA VARIATIONAL APPROACH

Published:2014-11-01 Issue:5 Volume:19 Page:664-675
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Li Jin¹,Luo Jianlin²,Wang Zaihong³

Affiliation:

1. School of Science, Jiujiang University 332005 Jiujiang, China; School of Mathematical Sciences, Capital Normal University 100048 Beijing, China

2. School of Science, Jiujiang University 332005 Jiujiang, China

3. School of Mathematical Sciences, Capital Normal University 100048 Beijing, China

Abstract

In this paper, we study the existence of periodic solutions of second order impulsive dierential equations at resonance. We prove the existence of periodic solutions under a generalized Landesman{Lazer type condition by using variational method.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference18 articles.

1. Existence of weak solutions for impulsive p-Laplacian problem with superlinear impulses

2. Periodic solutions for sublinear systems via variational approach

3. Theory of Impulsive Differential Equations

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence and uniqueness of periodic solution to second‐order impulsive differential equations;Mathematical Methods in the Applied Sciences;2022-11-20

2. On the second order periodic problem at resonance with impulses;Journal of Mathematical Analysis and Applications;2015-08

3. Retraction Note: Landesman-Lazer type condition for second-order differential equations at resonance with impulsive effects;Advances in Difference Equations;2015-07-04

4. RETRACTION NOTICE TO “PERIODIC SOLUTIONS OF SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS AT RESONANCE VIA VARIATIONAL APPROACH” [MATH. MODEL. ANAL. 19(5):664–675, 2014];Mathematical Modelling and Analysis;2015-03-30