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1.
In recent years, the research in integral equations in Banach spaces has achieved many results (refer to [1], [2], [3] etc.). It is well known that, generally, one must first establish the comparison theorem before applying the method of (coupled) lower and upper (quasi)solutions to investigate the (quasi)solutions of integral equations. This can be easily done for Volterra integral equations, but seems impossible for the cases of Fredholm type. Though [3] avoided the establishment of… 相似文献
2.
Banach空间非线性脉冲微分方程无穷边值问题 总被引:5,自引:0,他引:5
采用上了解方法和单调迭代技术研究Banach空间一阶非线性微分方程无穷边值问题,并建立了其最大解和最小解的存性定理。 相似文献
3.
In this paper, we consider the existence of positive solutions for the singular fourthorder four point boundary value problem with p-Laplacian operator. By using the fixed point theorem of cone expansion and compression, the existence of multiple positive solutions is obtained. 相似文献
4.
Banach空间二阶脉冲积-微分方程三点边值问题 总被引:2,自引:0,他引:2
本文研究了Banach空间中两类具有一端点值固定边界条件的二阶脉冲积- 微分方程三点边值问题解的存在性,并且获得了完全不同的先验估计. 相似文献
5.
戚仕硕 《应用数学学报(英文版)》2001,17(2):271-278
1. IntroductionIn [1], F.H. Wong proved the ekistence of a nonnegative solution to a higher order scalarboUndary value problem (for short, BVP) by means of Schauder's fixed point theorem. Inthis article, we shajl investigate the ekistence of multiple positive solutions of such higherorder BVP in Banach space E by utilizing the conical expansion and compression foredpoied principle and the thed poied index theory, both completely dtherellt from that in [1].Consider the following higher ord… 相似文献
6.
研究了具有多时滞的一阶非线性脉冲微分方程的振荡性,同时建立了其振荡准则.这些结果从而优化和发展了以前文献的相关结论. 相似文献
7.
(k,n-k)共轭边值问题正解的连通分支 总被引:1,自引:0,他引:1
讨论了(k,n-k)共轭边值问题。在适当的非线性项零点假设下,得到了多正解的存在性,给出了正解的全局连通分支。 相似文献
8.
戚仕硕 《应用泛函分析学报》2004,(3)
应用上下解方法和单调迭代技术研究了带有上确界的一阶非线性脉冲微分方程无穷边值问题,并获得了其极值解的存在性结果. 相似文献
9.
带有"上确界"的非线性脉冲微分方程无穷边值问题 总被引:1,自引:0,他引:1
戚仕硕 《应用泛函分析学报》2004,6(3):200-208
应用上下解方法和单调迭代技术研究了带有上确界的一阶非线性脉冲微分方程无穷边值问题,并获得了其极值解的存在性结果. 相似文献
10.