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一类高阶p-Laplace型差分方程同宿解的存在性
  • ISSN号：0253-2395
  • 期刊名称：《山西大学学报：自然科学版》
  • 时间：0
  • 分类：O175.1[理学—数学;理学—基础数学]
  • 作者机构：[1]五邑大学数学与计算科学学院,广东江门529020, [2]山西大学数学科学学院,山西太原030006
  • 相关基金：国家自然科学基金（11031002）;广东高校优秀青年创新人才培养计划（2013LYM一0093）;高等学校博士学科点专项科研基金（20124410110001）
作者： 旷菊红[1], 石艳香[2]
关键词： 高阶p-Laplace型差分方程, 同宿解, 临界点理论
中文摘要：

文章主要研究了一类高阶P-Laplace型差分方程（一1）“△”[r（k）Φp（△”u（k—n））]＋q（k）Φp（u（k））=f（k，u（k）），k∈Z非平凡同宿解的存在性，其中r（k），q（k）和f（k，u）没有任何周期性假设条件，我们的结果改进了以前的相关结果。一方面将低阶情形差分方程非平凡同宿解的存在性推广到高阶情形；另一方面将户≥2的情形非平凡同宿解的存在性推广到户〉1情形。

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期刊信息
  • 《山西大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:山西省教育厅
  • 主办单位:山西大学
  • 主编：杨斌盛
  • 地址：太原市坞城路92号
  • 邮编：030006
  • 邮箱：xbbjb@sxu.edu.cn
  • 电话：0351-7010455
  • 国际标准刊号：ISSN：0253-2395
  • 国内统一刊号：ISSN：14-1105/N
  • 邮发代号:22-42
  • 获奖情况:
  • 边疆七年获山西省一级期刊荣誉（1993-1999）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,英国动物学记录,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:5651