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带有参数的某四阶边值问题解的存在性
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O29[理学—应用数学;理学—数学]
  • 作者机构：[1]南京师范大学数学科学学院数学系,南京210097, [2]江南大学理学院,江苏无锡214122
  • 相关基金：国家自然科学基金资助项目（10871096）;教育部科学技术研究重点资助项目（205056）;江苏省研究生创新工程资助项目（CX09B-284Z）
作者： 杨阳[1,2], 张吉慧[1]
关键词： 边值问题, 临界点, 不变集, 收缩性质, boundary value problem, critical point, invariant sets, retracting property
中文摘要：

延续Yang和Zhang[Nonlinear Anal，2008，69：1364—1375]的工作，研究了带有参数的某四阶边值问题非平凡解的存在性．对于此边值问题的非线性项，不改变其在无穷远处的条件，只是改变了在零点处的条件，综合利用临界点理论，收缩性质及流不变集理论，得到了正解、负解及变号解的存在性．

英文摘要：

A sequel to Yang, Zhang [ Nonlinear Anal, 2008, 69： 1364-1375. ] in which nontrivial solutions for the fourth order boundary value problems are studied. Now under the same conditions near infinity, but different from the conditions near zero, positive, negative, and signchanging solutions axe obtained by combining critical point theory, retracting property and invariant sets.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,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:8965