| 李自尊.Gronwall-Bellman 型非线性差分不等式及在差分方程中的应用[J].数学研究及应用,2018,38(4):393~410 |
| Gronwall-Bellman 型非线性差分不等式及在差分方程中的应用 |
| Gronwll-Bellman Type Nonlinear Sums-Difference Inequalities and Applications in Difference Equations |
| 投稿时间：2017-11-09 修订日期：2018-01-13 |
| DOI：10.3770/j.issn:2095-2651.2018.04.007 |
| 中文关键词: |
| 英文关键词:sum-difference inequality power monotonicity boundary value problem boundedness |
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| 英文摘要: |
| In this paper, we establish some general sums-difference inequalities with two variables. The inequalities involve finite sum and every term contains the unknown function of the composite function with the power of $p_i$. In the end, we study boundedness of the solution of the difference equations as applications. |
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