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Volume 14
Issue 6
10.3390/sym14061141
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Article

Multiplicity of Solutions for Quasilinear Differential Models Generated by Instantaneous and Non-Instantaneous Impulses

by
Tengfei Shen
1,*,
Wenbin Liu
1 and
Wei Zhang
2
1
School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China
2
School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, China
*
Author to whom correspondence should be addressed.
Symmetry 2022, 14(6), 1141; https://doi.org/10.3390/sym14061141
Submission received: 19 April 2022 / Revised: 26 May 2022 / Accepted: 28 May 2022 / Published: 1 June 2022
Versions Notes

Abstract

This paper aims to deal with the multiplicity of weak solutions for quasilinear differential models generated by instantaneous and non-instantaneous impulses. By establishing the new variational structure and overcoming the influence of impulsive effects brought by the quasilinear term, some new results are acquired via the gene property, which extends and enriches some previous results. Moreover, an example is given to illustrate the conclusion of the main results.
Keywords: multiplicity; non-instantaneous impulse; instantaneous impulse; gene property multiplicity; non-instantaneous impulse; instantaneous impulse; gene property

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MDPI and ACS Style

Shen, T.; Liu, W.; Zhang, W. Multiplicity of Solutions for Quasilinear Differential Models Generated by Instantaneous and Non-Instantaneous Impulses. Symmetry 2022, 14, 1141. https://doi.org/10.3390/sym14061141

AMA Style

Shen T, Liu W, Zhang W. Multiplicity of Solutions for Quasilinear Differential Models Generated by Instantaneous and Non-Instantaneous Impulses. Symmetry. 2022; 14(6):1141. https://doi.org/10.3390/sym14061141

Chicago/Turabian Style

Shen, Tengfei, Wenbin Liu, and Wei Zhang. 2022. "Multiplicity of Solutions for Quasilinear Differential Models Generated by Instantaneous and Non-Instantaneous Impulses" Symmetry 14, no. 6: 1141. https://doi.org/10.3390/sym14061141

APA Style

Shen, T., Liu, W., & Zhang, W. (2022). Multiplicity of Solutions for Quasilinear Differential Models Generated by Instantaneous and Non-Instantaneous Impulses. Symmetry, 14(6), 1141. https://doi.org/10.3390/sym14061141

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