[1]宗 驰,王立本,邓海云,等.一类(φ1,φ2)-Laplace差分系统周期解的存在性[J].江西师范大学学报(自然科学版),2018,(02):187-193.[doi:10.16357/j.cnki.issn1000-5862.2018.02.12]
 ZONG Chi,WANG Liben,DENG Haiyun,et al.The Existence of Periodic Solutions for a Class of Difference Systems with(φ1,φ2)-Laplacian[J].Journal of Jiangxi Normal University:Natural Science Edition,2018,(02):187-193.[doi:10.16357/j.cnki.issn1000-5862.2018.02.12]
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一类(φ12)-Laplace差分系统周期解的存在性()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2018年02期
页码:
187-193
栏目:
数学与应用数学
出版日期:
2018-04-20

文章信息/Info

Title:
The Existence of Periodic Solutions for a Class of Difference Systems with(φ12)-Laplacian
文章编号:
1000-5862(2018)02-0187-07
作者:
宗 驰王立本邓海云张兴永*
昆明理工大学理学院数学系,云南 昆明 650500
Author(s):
ZONG ChiWANG LibenDENG HaiyunZHANG Xingyong*
Department of Mathematics,Faculty of Science,Kunming University of Science and Technology,Kunming Yunnan 650500,China
关键词:
差分系统1φ2)-Laplace 极小化原理 周期解
Keywords:
difference systems1φ2)-Laplacian the least action principle periodic solutions
分类号:
O 175.29
DOI:
10.16357/j.cnki.issn1000-5862.2018.02.12
文献标志码:
A
摘要:
利用极小化原理研究了一类(φ12)-Laplace差分系统周期解的存在性问题.借助N-函数的概念及其性质,在位势函数满足次凸性条件、次(p,q)次线性增长条件和次p次线性增长条件下,获得了系统周期解的一些存在性准则.
Abstract:
The existence of periodic solutions for a class of difference systems with a(φ12)-Laplacian is considered in this paper.By using the least action principle and definition of N-function and its properties,some existence criteria of periodic solutions are obtained under the condition that potential function has subconvex growth,(p,q)-sublinear growth and p-sublinear growth.

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备注/Memo

备注/Memo:
收稿日期:2017-10-26
基金项目:国家自然科学基金(11301235)资助项目.
通信作者:张兴永(1984-),男,云南宣威人,教授,博士,主要从事临界点理论、非线性Hamilton系统和非线性椭圆型偏微分方程的研究.E-mail:xyzmathcc@sina.com
更新日期/Last Update: 2018-04-20