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一类三阶微分方程非局部边值问题的可解性 被引量：2

Nonlocal boundary value problem for third-order differential equation
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摘要 为了丰富共振情况下非局部边值问题的研究,利用Mawhin连续性定理,探讨一类三阶微分方程共振情况下的非局部多点边值问题解的存在性。通过适当的假设,得到了至少存在一个解的充分性条件,并拓展了已有结果。 This paper is an effort to expand the research into nonlocal boundary value problem by considering a third-order non-local multi-point boundary value problem under the resonance conditions.The paper provides an existence result by using the coincidence degree theory of Mawhin,and the expanded results.
作者 刘丙镯 车晓飞 陈春香
机构地区 中国矿业大学理学院
出处 《黑龙江科技学院学报》 CAS 2010年第3期237-241,共5页 Journal of Heilongjiang Institute of Science and Technology
关键词 非局部边值问题 度理论 存在性定理 共振 nonlocal boundary value problems coincidence degree theory existence theorem resonance
分类号 O175.8 [理学—基础数学]
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参考文献14

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二级参考文献1

共引文献18

同被引文献23

  • 1暴宁伟.一类高阶微分方程边值问题正解的存在性[J].河北工程大学学报（自然科学版）,2007,24(2):108-110. 被引量：4
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  • 10JI DEHONG, TIAN YU, GE WEIGAO. Positive solutions for one- dimensional p-laplacian boundary value problems with sign. changing noniinearity[ J]. Nonlinear Anal, 2009, 71 ( 11 ) :5 406 - 5 416.

引证文献2

黑龙江科技学院学报
2010年 第3期

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