报告题目：Moser’s non-twist theorem for reversible mappings and its application

报 告 人：朴大雄 中国海洋大学、

报告时间：2024.11.20 上午 9:00-10:00

报告地点：数学科学学院301

报告摘要：This paper is concerned with a family of reversible mappings depending on a small parameter. Without assuming the twist condition, we prove an invariant curve theorem for the reversible mappings. As an application, we obtain the boundedness of all solutions for a class of semilinear Duffing equations without the twist condition and the polynomial-like growth condition. Joint work with Shuyi Wang，Min Li.

报告人人简介：朴大雄，中国海洋大学数学科学学院三级教授、博士生导师。主要研究领域：微分方程的概周期型解、Duffing型方程的KAM方法、数学物理算子谱理论等。在Journal of Functional Analysis、Journal of Differential Equation和中国科学等知名期刊发表多篇论文。主持和承担完成多项国家自然科学基金项目。已指导毕业博士生16名。