留言板

Schauder不动点定理在脉冲微分方程解的存在性中的一个应用

 引用本文: 董玉君, 邹尔新. Schauder不动点定理在脉冲微分方程解的存在性中的一个应用[J]. 应用数学和力学, 1995, 16(4): 353-357.
Dong Yu-jun, Zou Er-xin. An Application of Schauder’s Fxed Point Theorem to the Existence of Solutions of Impulsively Differential Equations[J]. Applied Mathematics and Mechanics, 1995, 16(4): 353-357.
 Citation: Dong Yu-jun, Zou Er-xin. An Application of Schauder’s Fxed Point Theorem to the Existence of Solutions of Impulsively Differential Equations[J]. Applied Mathematics and Mechanics, 1995, 16(4): 353-357.

An Application of Schauder’s Fxed Point Theorem to the Existence of Solutions of Impulsively Differential Equations

• 摘要: 本文用Schauder不动点定理证明了一类用上下解方去难以解决的脉冲微分方程边值问题解的存在性,改进了现有的一些结果。
•  [1] Hu Shou-chun and V. Laksmikatham, PBVP for second order impulsive differential systems, Nonlinear Analysis, Theory, Methods and Applications, 13, 1(1989), 75-85. [2] Erbe, L. H. and Liu Xin-zhi, Existence results for boundary value problems of second order impulsive differetial equations, Journal of Mathematical Analysis and Applications.149(1990), 56-69. [3] 董玉君、周钦德,二阶脉冲微分方程边值问题,吉林大学自然科学学报,(2) (1991),13-20 [4] 董玉君、周钦德,脉冲微分方程边值问题,吉林大学目然科学学报,(3) (1991), 1-8. [5] 董玉君、孙万凯,一类二阶脉冲微分方程周期边值问题,《数学科学学术研讨会论文集》,吉林大学出版社,长春(1992), 199-202. [6] Lazar, A. C. and D. E. Leach, On a nonlinear two point boundary value problem, Journal of Mathematical Analysis and Applications, 26(1969), 20-27. [7] Hartman, Philip, Ordinary Differential Equations, Second Edition, Boston, Basel, Stuttgart, Birkhauser(1982). [8] Cronin, Jane, Fixed points and topological degree in nonlinear analysis, Mathematical Surveys, No.11,American Mathematical Society, Providence(1964).

计量
• 文章访问数:  1843
• HTML全文浏览量:  12
• PDF下载量:  476
• 被引次数: 0
出版历程
• 收稿日期:  1994-10-24
• 刊出日期:  1995-04-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈