| A NEW NONLINEAR DISCRETE INEQUALITY AND ITS APPLICATION |
| |
| 作者姓名： | 杨恩浩 |
| |
| 作者单位： | Yang Enhao (Dept. of Math.，Jinan University，Guangzhou 510632) (Dedicated to Professor Su Buqing on his 100 Years Birthday) |
| |
| 摘 要： | 1 IntroductionAs wel1 known that, discrete inequalities play a vital roIe in the develop-ment of difference equations, discrete-time controI systems, numerical analysisand many other related fields. We refer to the references fl~3] afld 5-l3J forstandard known results. Recently, to obtain discrete generalizations of the Ou-Iang integral inequality 4], G.B.Pachpatte proved the following inequalities 5](Theorem 4):Theorem A Let u(n), g(n), h(n) and k(n) 6e real-valued nonnegativc func-ti…
|
A NEW NONLINEAR DISCRETE INEQUALITY AND ITS APPLICATION |
| |
| Yang Enhao.A NEW NONLINEAR DISCRETE INEQUALITY AND ITS APPLICATION[J].微分方程年刊(英文版),2001(3). |
| |
| Authors: | Yang Enhao |
| |
| Abstract: | A new discrete inequality with the power nonlinearity is obtained which unifies and generalizes some known results due to B.G.Pachpatte. A certain initial value problem of a sum-difference equation is also given to convey the usefulness of the inequality obtained. |
| |
| Keywords: | nonlinear discrete inequality a priori bound on solutions initial value problem sum-difference equation |
| 本文献已被 CNKI 等数据库收录！ |
