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共振条件下二阶积分边值问题解的存在性（英文）
  • ISSN号：1006-6837
  • 期刊名称：《数学研究》
  • 时间：0
  • 分类：O179[理学—数学;理学—基础数学]
  • 作者机构：[1]山东科技大学统计与金融系,山东青岛266590
  • 相关基金：supported by NSFC（11371221 11071141）; the Specialized Research Foundation for the Doctoral Program of Higher Education of China（20123705110001）; the Program for Scientifc Research Innovation Team in Colleges and Universities of Shandong Province; Research Award Fund for Outstanding Young Scientists of Shandong Province（BS2012SF023）; Foundation of SDUST
作者： 邹玉梅[1], 崔玉军[1]
关键词： 迭合度, 积分边值问题, 共振, Coincidence degree, Integral boundary value problem, Resonance
中文摘要：

利用上下解方法和带参数的紧向量场解集的连通性质研究了共振条件下一类二阶微分方程积分边值问题{u′′（t）=f（t,u（t））,t∈（0,1）,u（0）=∫10u（s）dα（s）,u（1）=∫10u（s）dβ（s）解的存在性.

英文摘要：

This article concerns the second-order diferential equation with integral boundary conditions {u′′（t） = f（t, u（t））, t ∈（0, 1）, u（0） = ∫10 u（s）dα（s）, u（1） = ∫10 u（s）dβ（s）. Under the resonance conditions, we apply the methods of lower and upper solutions and the connectivity properties of the solution set of parameterized families of compact vector felds to establish the existence of solutions.

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期刊信息
  • 《数学研究》
  • 主管单位:厦门大学
  • 主办单位:厦门大学数学科学学院 福建省数学会
  • 主编：林群
  • 地址：厦门大学数学系
  • 邮编：361005
  • 邮箱：jmaths@xmu.edu.cn
  • 电话：0592-2580752 21828321
  • 国际标准刊号：ISSN：1006-6837
  • 国内统一刊号：ISSN：35-1177/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘
  • 被引量:1284