一类二阶摄动周期问题的常数符号格林函数
Constant sign Green's function of a second order perturbed periodic problem
摘要：
在本文中，我们感兴趣的是获得确切的表达和研究的格林函数的常数符号的二阶摄动周期问题耦合的积分边界条件在定义的区间极值。为了得到与这个问题有关的格林函数的表达式，我们使用\cite{CLY}中提出的一般非局部扰动边值问题的理论。此外，我们将刻画参数的设置，这样的格林函数具有常数符号。为此，我们需要首先考虑一个相关的二阶问题，没有积分边界条件，获得其格林函数的性质，然后使用它们来计算与主问题相关的一个的符号。
英文摘要：
In this paper we are interested in obtaining the exact expression and the study of the constant sign of the Green's function related to a second order perturbed periodic problem coupled with integral boundary conditions at the extremes of the interval of definition. To obtain the expression of the Green's function related to this problem we use the theory presented in \cite{CLY} for general non-local perturbed boundary value problems. Moreover, we will characterize the parameter's set where such Green's function has constant sign. To this end, we need to consider first a related second order problem without integral boundary conditions, obtaining the properties of its Green's function and then using them to compute the sign of the one related to the main problem.
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