摘要
利用临界点理论研究带阻尼项和基尔霍夫系数的常p-Laplace系统周期解的存在性.在无穷远处非线性项p-超线性增长时,根据局部环绕定理得到非平凡周期解性存在的充分条件.
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.
作者
张申贵
ZHANG Shengui(School of Mathematics and Computer Science,Northwest Minzu University,Lanzhou 730030,China)
出处
《高师理科学刊》
2025年第8期1-6,17,共7页
Journal of Science of Teachers'College and University
基金
国家自然科学基金项目(12361047)
2024年度中央高校基本科研业务费项目(31920240091)。