Abstract
In this article, by using Moser's twist theorem, we prove that all solutions of the equation $x'' + ax^{+} - bx^{-} + \varphi(x) = p(t)$ are bounded in the critical situation, where $p$ is a smooth periodic function, and $\varphi$ is bounded one.
Funding Statement
This work was supported by the NSFC (grant no. 11801295).
Acknowledgments
The authors are grateful to the referees for their valuable suggestions and comments.
Citation
Shufang Zhang. Xinli Zhang. "Boundedness in Asymmetric Oscillations at Resonance in a Critical Situation." Taiwanese J. Math. 26 (6) 1219 - 1234, December, 2022. https://doi.org/10.11650/tjm/220404
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