半齐次边值问题解的存在性与稳定性

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On the Existence and Stability of Solutions for Seml-Homogeneous Boundary Value Problems

1.
Department of Applled Mechanics, Beijing Institute of Techtnology, Beijing 100081;
2.
Department of Mathematics, Beijiing Institute of Business, Beijing 100036

摘要: 本文讨论两类半齐次边值问题的可解性及解的稳定性,推广了文献[1~2]中的有关结果,并得到了若干新的判别准则.
- 边值问题 /
- 不动点定理 /
- 稳定性
Abstract: In this paper.we discuss the existence and stability of solution for two semi-homogeneous boundary value problems.The relative theorems in [1-2] are extended.meanwhile,we obtain some new results.
- boundary value problem /
- fixed point theory /
- stability

[1]	R.Ressign G.Sansone.R.Conti.Nonlinear ditlerential equation of higher-order.Noordhoff International Publishing.Leyden(1974).
[2]	王荣良,一类三阶非线性非自治系统周期解的存在性与稳定连,科学通报,2(1986).1531-1534.
[3]	张石生,《不动点理论及应用》,重庆出版社(1984).