论文标题

非线性第四阶的单调迭代技术

Monotone iterative technique for nonlinear fourth order integro-differential equations

论文作者

Wang, Jinxiang

论文摘要

在本文中,我们考虑了具有NAVIER边界条件的一类非线性第四阶差异方程的可溶性。我们首先处理相应的线性问题并建立最大原则。使用最大原理,我们在存在下层和上层解决方案的情况下开发单调迭代技术,以在某些条件下解决非线性问题。提出了一些示例以说明主要结果。

In this paper, we consider the solvability of a class of nonlinear fourth order integro-differential equations with Navier boundary condition. We first deal with a corresponding linear problem and establish a maximum principle. Using the maximum principle, we develop a monotone iterative technique in the presence of lower and upper solutions to solve the nonlinear problem under certain conditions. Some examples are presented to illustrate the main results.

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