Sturm-Liouville型微分包含的脉冲边值问题
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摘要
研究了一类二阶微分包含的脉冲边值问题,利用凝聚映射不动点定理给出了Banach空间中Sturm-Liouville型微分包含脉冲边值问题的解的存在性.
In this paper,a class of impulsive boundary value problems of second order differential inclusions is studied.Using condensing mapping fixed point theorem,the existence of the solutions of impulsive boundary value problems for Sturm-Liouville type differential inclusions in Banach space is given.
In this paper,a class of impulsive boundary value problems of second order differential inclusions is studied.Using condensing mapping fixed point theorem,the existence of the solutions of impulsive boundary value problems for Sturm-Liouville type differential inclusions in Banach space is given.
引文
[1]Sun Jingxian,Li Hongyu.奇异非线性Sturm-Liouville边值问题正解的全局结构[J].数学物理学报,2008,28(3):424-433.
[2]Xu Haiyan,Yang Fenghua.脉冲Sturm-Liouville方程边值问题的多重正解[J].曲阜师范大学学报,2007,33(2):29-34.
[3]Zhang Lingzhong,Li Yongxiang.Banach空间非线性Sturm-Liouville边值问题的正解[J].数学物理学报,2009,29(3):784-793.
[4]Liu Yicheng,Wu Jun and Li Zhixiang.Impulsive boundary value problems for Sturm-Liouville type differential inclusions[J].Springer Science+Business Media,LLC,2007,20:370-380.
[5]Martelli M.A Rothe’s Type Theorem for Noncompact Acyclic-Valued Map[J].Bollettino dell’Unione Matematica Italiana,1975,11(3):70-76.
[6]Lasota A,Opial Z.Application of the Kakutani-Ky-Fan theorem in the theory of ordirary differential equations or noncompact acydic-valued map[J].Bull Acad Polon Sci Ser Sci Math Astronom Phys,1965(13):781-786.
[2]Xu Haiyan,Yang Fenghua.脉冲Sturm-Liouville方程边值问题的多重正解[J].曲阜师范大学学报,2007,33(2):29-34.
[3]Zhang Lingzhong,Li Yongxiang.Banach空间非线性Sturm-Liouville边值问题的正解[J].数学物理学报,2009,29(3):784-793.
[4]Liu Yicheng,Wu Jun and Li Zhixiang.Impulsive boundary value problems for Sturm-Liouville type differential inclusions[J].Springer Science+Business Media,LLC,2007,20:370-380.
[5]Martelli M.A Rothe’s Type Theorem for Noncompact Acyclic-Valued Map[J].Bollettino dell’Unione Matematica Italiana,1975,11(3):70-76.
[6]Lasota A,Opial Z.Application of the Kakutani-Ky-Fan theorem in the theory of ordirary differential equations or noncompact acydic-valued map[J].Bull Acad Polon Sci Ser Sci Math Astronom Phys,1965(13):781-786.