带有一个无穷求和的离散Gronwall不等式及其应用
Discrete Gronwall Inequality with an Infinite Summation and Its Applications
摘要
本文用数学归纳法及构造辅助不等式来研究具有一个无穷求和的非线性离散Gronwall不等式,并把结果应用到一个差分方程中,给出了该方程解的界.
By using the mathematical induction and constructing an auxiliary inequality, we study a nonlinear discrete Gronwall inequality with an infinite summation. Application examples to show the boundedness of solutions of a difference equation are also given.
出处
《湛江师范学院学报》
2013年第3期68-78,共11页
Journal of Zhanjiang Normal College
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