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一类广义平均曲率方程的周期解问题(英文)

Periodic Solutions for a Kind of Prescribed Mean Curvature Equation
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摘要 本文主要应用Mawhin重合度拓展定理研究了一类广义平均曲率方程(u′(t)/(1+(u′(t))2)(1/2))′+f(u(t))=p(t)周期解的存在性问题,得到了周期解存在性的相关结果. In this paper,the authors study the existence of periodic solutions for prescribed mean curvature equation （u＇（t）/√1 ＋｜ u＇（t）｜2）＇ ＋ f（u（t）） =p（t）.where f ∈ C1（R,R）,p ∈ C（R,R） and T-period.By using coincidence degree theory and some analysis methods,some existence results are presented.
作者 梁载涛 鲁世平
机构地区 安徽师范大学数学计算机科学学院
出处 《安徽师范大学学报（自然科学版）》 CAS 北大核心 2013年第5期437-442,共6页 Journal of Anhui Normal University(Natural Science)
基金 Sponsored by the NNSF of China(No:11271197) the key NSF of Education Ministry of China(No:207047)
关键词 周期解 重合度拓展定理 广义平均曲率方程 periodic solution coincidence degree prescribed mean curvature equation
分类号 O175.6 [理学—基础数学]
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参考文献11

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安徽师范大学学报（自然科学版）
2013年 第5期

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