一类φ-Laplacian方程周期正解的存在性和唯一性

Existence and Uniqueness of Positive Periodic Solutions for φ-Laplacian Equation

应用Manasevich-Mawhin连续性定理和一些分析技巧,研究了一类φ-Laplacian方程,获得其周期正解存在且唯一的充分条件,推广和改进了已有文献中的相关结论.

By applying the Manasevich-Mawhin continuation theorem and some analysis skills,this paper considers a class of φ-Laplacian equation.Some new sufficient conditions for the existence and uniqueness of positive periodic solutions are obtained.The results of this study have extended and improved the related reports in the literature.