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一类二阶非线性特征值问题的可解性
  • ISSN号：1000-0577
  • 期刊名称：《系统科学与数学》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]西北师范大学数学与信息科学学院,兰州730070
  • 相关基金：国家自然科学基金项目（11061030 11026060）; 西北师范大学骨干培育项目（03-69）资助课题
作者： 韩晓玲[1], 高红亮[1], 王婷[1]
关键词： 不定权, 分歧, 隐函数定理, 结点解, Indefinite weight function, bifurcation, implicit function theorem, nodal solutions
中文摘要：

运用分歧方法和隐函数定理等工具分别在a（t）不变号和变号两种情形下讨论了非线性特征值问题u″＋λa（t）f（u）=0,0〈t〈1,u（0）=u（1）=0的解集结构,这里λ∈R是实参数,f（0）〉0,a∈C[0,1].

英文摘要：

This paper is concerned with the existence of nodal solutions of boundary value problem u″＋λa（t）f（u）=0,0〈t〈1,u（0）= u（1）= 0, whereλ∈R is a real parameter and f（0）〉0.The proof of the main result is based upon implicit function theorem and bifurcation techniques.

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期刊信息
  • 《系统科学与数学》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：张纪峰
  • 地址：北京中关村中国科学院系统科学研究所
  • 邮编：100190
  • 邮箱：jssms@iss.ac.cn
  • 电话：010-62555263
  • 国际标准刊号：ISSN：1000-0577
  • 国内统一刊号：ISSN：11-2019/O1
  • 邮发代号:2-563
  • 获奖情况:
  • 1997年数学类期刊影响因子第三名,2000年获中科院优秀期刊三等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 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）,中国北大核心期刊（2000版）
  • 被引量:6798