Existence of solutions to functional boundary value problem of second-order nonlinear differential equation
Existence of solutions to functional boundary value problem of second-order nonlinear differential equation
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DOI：
10.1016/j.jmaa.2010.08.011
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发表时间：
2011-01
影响因子：
1.3
通讯作者：
Zhiliang Zhao;Juhua Liang
中科院分区：
文献类型：
--
作者：
Zhiliang Zhao;Juhua Liang
本文研究了函数边值问题。基于Mawhin重合度理论，得到了非谐振情况和谐振时dimKerL=1和dimKerL=2情况下的一些存在性定理。结果不仅推广和改进了多点积分边值问题的一些已知结果，而且给出了边值问题的所有边值条件均依赖于x和x′的存在定理。
In this paper, a functional boundary value problem is studied. Based on Mawhin's coincidence degree theory, some existence theorems are obtained in the case of non-resonance and the cases of dimKerL=1 and dimKerL=2 at resonance. The results not only generalize and improve some known results of multi-point and integral boundary value problems, but also give some existence theorems for boundary value problems that all their boundary value conditions are relied on both x and x′.