| 一个新的非线性差分不等式及其应用 |
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| 引用本文： | 王五生. 一个新的非线性差分不等式及其应用[J]. 系统科学与数学, 2009, 29(12): 1664-1671 |
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| 作者姓名： | 王五生 |
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| 作者单位： | 河池学院数学系,宜州,546300 |
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| 基金项目： | 广西自然科学基金，广西教育厅科学研究项目，广西新世纪教改工程第三批资助项目，河池学院应用数学重点学科 |
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| 摘 要： | 建立了一个一般形式的二变量的差分不等式,该不等式和号内包含两个不同的没有假设单调性的未知函数的复合函数.使用了单调化技术,利用了强单调的性质,给出了未知函数的估计.结果能对Ma Q H 等人文中考虑的离散不等式的未知函数进行估计.进一步,给出了差分方程解的估计.
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| 关 键 词： | 差分不等式 差分方程 解的估计. |
| 收稿时间： | 2007-08-15 |
| 修稿时间： | 2008-01-18 |
A NEW NONLINEAR DIFFERENCE INEQUALITY AND ITS APPLICATION |
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| WANG Wusheng. A NEW NONLINEAR DIFFERENCE INEQUALITY AND ITS APPLICATION[J]. Journal of Systems Science and Mathematical Sciences, 2009, 29(12): 1664-1671 |
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| Authors: | WANG Wusheng |
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| Affiliation: | Department of Mathematics, Hechi University, Guangxi, Yizhou 546300 |
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| Abstract: | In this paper a general form of difference inequality in two variables is established, which includes both two distinct nonlinear composite functions of unknown function in the sums without an assumption of monotonicity. In terms of the monotonization technique and by using the monotonicity, an estimate for the unknown function is given. The result can be used to solve those discrete inequalities considered by Ma. Finally, the result is applied to give estimation of solutions of a difference equation. |
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| Keywords: | Difference inequality difference equation estimation of solutions. |
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