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二阶周期边值问题的广义Green函数和解的存在性

Generalized Green function and existence of solution for second-order periodic boundary value problem
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摘要 周期边值问题是非线性分析中的一个重要问题.作者借助广义Green函数,研究了二阶周期边值问题{u′′(t)+λu(t)=f(t,u(t)),0<t<1,u(0)=u(1),u′(0)=u′(1),的广义Green函数和其可解性,其中λ为其对应齐次问题的特征值,f:[0,1]×R→R连续. Periodic bounduy value problems is an important topic in nonlinear analysis.In this paper,existences of both solution and generalized Green function are studied for the following second-order periodic boundary value problems：{u′′（t）＋λu（t）=f（t,u（t））,0t1,u（0）=u（1）,u′（0）=u′（1）,whereλis eigenvalue of the corresponding homogeneous problem,f：[0,1]×R→Ris continuous.
作者 岳蔓 韩晓玲
机构地区 西北师范大学数学与统计学院
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2014年第4期649-652,共4页 Journal of Sichuan University(Natural Science Edition)
基金 国家自然科学基金项目(11101335 11126296) 甘肃省教育厅基金项目(1101-02) 兰州市科技局基金项目(2011-2-72)
关键词 周期边值问题 广义Green函数 可解性 Periodic boundary value problems Generalized Green function Existence of solution
分类号 O175.8 [理学—基础数学]
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参考文献10

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二级参考文献15

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四川大学学报（自然科学版）
2014年 第4期

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