| 共振条件下二阶积分边值问题解的存在性（英文） |
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| 引用本文： | 邹玉梅,崔玉军.共振条件下二阶积分边值问题解的存在性（英文）[J].数学研究,2013(4):333-343. |
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| 作者姓名： | 邹玉梅 崔玉军 |
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| 作者单位： | 山东科技大学统计与金融系,山东青岛266590 |
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| 基金项目： | 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 |
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| 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.
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| 关 键 词： | 迭合度 积分边值问题 共振 |
Existence of Solutions for Second-order Boundary Value Problems at Resonance Involving Integral Conditions |
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| Zou YuMei;Cui YuJun.Existence of Solutions for Second-order Boundary Value Problems at Resonance Involving Integral Conditions[J].Journal of Mathematical Study,2013(4):333-343. |
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| Authors: | Zou YuMei;Cui YuJun |
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| Institution: | Zou YuMei;Cui YuJun;Department of Statistics and Finance, Shandong University of Science and Technology; |
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| Abstract: | 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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| Keywords: | Coincidence degree Integral boundary value problem Resonance |
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