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一阶超线性时滞差分方程的周期解
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O175.7[理学—数学;理学—基础数学]
  • 作者机构：[1]广州大学数学与信息科学学院,广东广州510006
  • 相关基金：国家自然科学基金重点资助项目（11031002）.
作者： 郭丽芬[1], 郭志明[1]
关键词： 时滞差分方程, 周期解, 临界点, 环绕, delay difference equation, periodic solution, critical point, linking methods
中文摘要：

应用临界点理论，主要研究一阶超线性时滞差分方程au（n）=-f（u（n—T））的非平凡周期解的存在性与多重性，其中u∈R，f∈C（R，R），T为给定的正整数．当f（u）在零点与无穷远点处满足超线性增长条件时，得到了上述方程以4T＋2为周期的非平凡周期解存在性与多解性的若干充分条件．

英文摘要：

By using critical point theory, the existence and multiplicity of nontrivial periodic solutions are investigated for first order superlinear delay difference equation △u（n） = -f（ u（n - T） ）, where u ∈ R, f∈ C（ R, R ） and T is a given positive integer. Some sufficient conditions are obtained for the existence and multiplicity of periodic solutions with period 4 T ＋ 2, when f（u） grows superlinearly both at zero and at infinity.

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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4204