高师理科学刊2025,Vol.45Issue(8):1-6,17,7.DOI:10.3969/j.issn.1007-9831.2025.08.001
带阻尼项的常p-Laplace系统的非平凡周期解
Nontrivial periodic solutions for ordinary p-Laplacian systems with damped vibration
摘要
Abstract
By using critical point theory,the existence of periodic solutions for ordinary p-Laplacian syetems with damped vibration and Kirchhoff-type coefficient is studied.When the nonlinearity has a p-superlinear growth at infinity,some sufficient conditions for the existence of periodic solutions were obtained via the local linking theorem.关键词
常p-Laplace系统/周期解/临界点/局部环绕Key words
ordinary p-Laplacian systems/periodic solutions/critical point/local linking分类
数理科学引用本文复制引用
张申贵..带阻尼项的常p-Laplace系统的非平凡周期解[J].高师理科学刊,2025,45(8):1-6,17,7.基金项目
国家自然科学基金项目(12361047) (12361047)
2024年度中央高校基本科研业务费项目(31920240091) (31920240091)