论文标题
恒定签名绿色的二阶函数摄影周期性问题
Constant sign Green's function of a second order perturbed periodic problem
论文作者
论文摘要
在本文中，我们有兴趣获得与二阶扰动周期性问题有关的绿色功能恒定符号的确切表达和研究，并在定义间隔的极端情况下与整体边界条件相结合。 为了获得与此问题相关的绿色函数的表达，我们将\ cite {cly}介绍的理论用于一般的非本地扰动边界值问题。此外，我们将表征参数的集合，其中这种绿色的函数具有恒定的符号。为此，我们需要首先考虑一个相关的二阶问题，而没有整体边界条件，获得其绿色功能的属性，然后使用它们来计算与主要问题相关的符号。
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.
