Multiplicity of Periodic Solutions for a Class of New Super-quadratic Damped Vibration Problems-Reference-Cited by-同舟云学术

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Multiplicity of Periodic Solutions for a Class of New Super-quadratic Damped Vibration Problems

Published:2023-01-06 Issue:4 Volume:29 Page:1287-1297
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:J Dyn Control Syst

Author:

Jiang Shan,Xu Huijuan,Liu Guanggang^ORCID

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

https://link.springer.com/content/pdf/10.1007/s10883-022-09638-6.pdf

Reference23 articles.

1. Bartsch T, de Figueiredo DG. Infinitely many solutions of nonlinear elliptic systems. Topics in nonlinear analysis. Progress in nonlinear differential equations and their applications, vol 35. In: Escher J and Simonett G, editors. Birkhäuser: Basel; 1999. p. 51–67.

2. Bonanno G, Livrea R. Periodic solutions for a class of second-order Hamiltonian systems. Electron J Differ Equ. 2005;115:1–13.

3. Chen G. Infinitely many nontrivial periodic solutions for damped vibration problems with asymptotically linear terms. Appl Math Comput 2014;245:438–446.

4. Chen G. Periodic solutions of superquadratic damped vibration problems. Appl Math Comput 2015;270:794–801.

5. Chen G. Damped vibration problems with nonlinearities being sublinear at both zero and infinity. Math Methods Appl Sci 2016;39(6):1505–1512.

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