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Nagumo条件下二阶积分边值问题的多解 被引量：1

MULTIPLE SOLUTIONS FOR SECOND-ORDER INTERGRAL BOUNDARY VALUE PROBLEMS UNDER NAGUMO CONDITION
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摘要 应用集值增算子的不动点定理和拓扑度理论研究Nagumo条件下二阶积分边值问题-x''=f(t,x,x'),t∈I=[0,1]x(0)=∫10x(t)dα(t),x(1)=∫10x(t)dβ(t)的多解,其中 f ∈ C([0,1]×R^2,R). In this paper,by using of fixed point theorem for set-valued increasing operator and topological degree theory,we are concerned with the existence of multiple solutions for the following second-order integral boundary value problem under Nagumo conditions：-x＇＇=f（t,x,x＇）,t∈I=[0,1]x（0）=∫10x（t）dα（t）,x（1）=∫10x（t）dβ（t）where f ∈ C（[0,1]×R^2,R）.
作者 崔玉军 董升
机构地区 山东科技大学矿山灾害预防控制省部共建国家重点实验室培育基地 青岛市城阳第九中学
出处 《系统科学与数学》 CSCD 北大核心 2015年第5期601-610,共10页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(11371221) 高等学校博士学科点专项科研基金(20123705110001) 山东省高校科研创新团队 山东省博士后创新项目专项资金(201303074)资助课题
关键词 积分边值问题 多解 拓扑度理论 Integral boundary value problem； multiple solutions； topological degreetheory.
分类号 O175.8 [理学—基础数学]
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参考文献13

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二级参考文献21

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系统科学与数学
2015年 第5期

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