Rayleigh型p-Laplacian方程周期解的新结果  

New results on periodic solutions of Rayleigh type p-Laplacian equation

作　　者：张兰[1] 

机构地区：[1]常德职业技术学院公共课部,湖南常德415000

出　　处：《湖南文理学院学报（自然科学版）》2013年第2期9-12,共4页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：湖南省自然科学基金(11JJ6006);湖南省教育厅资助项目(10C1009;11C0916;11C0915)

摘　　要：研究了一类在物理、机械及工程技术等领域具有广泛应用背景的Rayleigh型p-Laplacian方程的周期解问题.通过利用不等式技巧和连续度理论,在较弱的条件下给出了该方程周期解集合的先验估计,建立了该方程T-周期解存在且唯一的一些充分条件,改进和推广了已有文献中的相应结果,并将该理论结果在一个实例中进行了应用.The problem on periodic solutions for a class of Rayleigh type p-Laplacian equation was studied, which has wide application background field of physics, mechanical and engineering technology. By inequality techniques and coincidence degree theory, priori estimates on the set of periodic solutions was given, and some sufficient conditions were established to ensure the existence and uniqueness of T-periodic solutions for this equation. An illustrative example was provided to demonstrate that the results of this paper hold under weaker conditions than the existing ones, and were more effective.

关 键 词：P-LAPLACIAN方程 Rayleigh型 周期解 连续度理论 

分 类 号：O175.14[理学—数学]