LEVINSON'S CONJECTURE TO NEWTONIAN SYSTEMS WITH JUMPING NONLINEARITY

Yingying Li

doi:10.11948/20240039

2024 Volume 14 Issue 6

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Yingying Li. LEVINSON'S CONJECTURE TO NEWTONIAN SYSTEMS WITH JUMPING NONLINEARITY[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3450-3457. doi: 10.11948/20240039

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Yingying Li. LEVINSON'S CONJECTURE TO NEWTONIAN SYSTEMS WITH JUMPING NONLINEARITY[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3450-3457. doi: 10.11948/20240039

LEVINSON'S CONJECTURE TO NEWTONIAN SYSTEMS WITH JUMPING NONLINEARITY

Yingying Li^1, ,

1.
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Corresponding author: Email: yingyingli0306@nenu.edu.cn(Y. Li)

Abstract

Abstract

This paper concerns the jumping nonlinear Newtonian systems with friction. We show the existence of periodic solutions by using Lyapunov's methods and the modular degree theory. Furthermore, we apply our main result to find periodic solutions in a classical suspension bridge model.
- Jumping nonlinearity /
- periodic solutions /
- Newtonian systems with friction /
- Lyapunov's methods
MSC: 34C25

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References

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