论文标题
使用平均曲率运算符的二阶差异方程的衰减全球解决方案
Decaying positive global solutions of second order difference equations with mean curvature operator
论文作者
论文摘要
在无界域上的边界值问题，与与欧几里得平均曲率运算符相关的差异方程相关联。通过证明线性差方程和使用基于线性化设备的固定点方法，检查了整个域和无限衰减的解决方案的存在。从连续问题到离散问题的过程也被检查。检查了无限域上边界价值问题的离散化过程，并且也指出了离散和连续情况之间的一些差异。
A boundary value problem on an unbounded domain, associated to difference equations with the Euclidean mean curvature operator is considered. The existence of solutions which are positive on the whole domain and decaying at infinity is examined by proving new Sturm comparison theorems for linear difference equations and using a fixed point approach based on a linearization device. %The process from the continuous problem to discrete one is examined, too. The process of discretization of the boundary value problem on the unbounded domain is examined, and some discrepancies between the discrete and the continuous case are pointed out, too.
