Boundedness in Asymmetric Oscillations at Resonance in a Critical Situation
Shufang Zhang, Xinli Zhang · Taiwanese Journal of Mathematics · 2022
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.