Schauder不动点定理在脉冲微分方程解的存在性中的一个应用
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。
-
关键词:
- Schauder不动点定理 /
- 边值问题 /
- 解的存在性
Abstract: In this paper the existence of solutions of a boundary value problem for impulsively differential equations that is difficult to solve by the upper and lower solution method will be proved by means of Schauder's fixed point theorem,which improves some existing results. -
[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).
点击查看大图
计量
- 文章访问数: 2032
- HTML全文浏览量: 51
- PDF下载量: 480
- 被引次数: 0