| 一类非线性双曲泛函微分方程的振动性 |
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| 引用本文： | 周钢.一类非线性双曲泛函微分方程的振动性[J].纺织高校基础科学学报,2005,18(3):222-228. |
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| 作者姓名： | 周钢 |
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| 作者单位： | 东华大学,应用数学系,上海,200051 |
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| 摘 要： | 研究了一类带连续分布的滞变量的非线性双曲方程的振动性．通过积分平均技巧，将多维问题的振动性转化为二阶泛函微分不等式最终正解的非存在性．得到了明确的振动判别准则．
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| 关 键 词： | 双曲型方程 振动性 泛函变量 |
| 文章编号： | 1006-8341（2005）03-0222-07 |
| 收稿时间： | 2004-10-28 |
Oscillation of certain nonlinear hyperbolic functional differential equations |
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| ZHOU Gang.Oscillation of certain nonlinear hyperbolic functional differential equations[J].Basic Sciences Journal of Textile Universities,2005,18(3):222-228. |
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| Authors: | ZHOU Gang |
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| Affiliation: | Department of Applied Mathematics, Donghua University, Shanghai 200051, China |
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| Abstract: | The oscillation of a class of nonlinear hyperbolic equations with continuous distributed deviating arguments is studied. By the integral averaging techniques, the multi-dimensional oscillation problems are reduced to the nonexistence of eventually positive solutions of second-order functional differential inequalities. Explicit oscillation criteria are also given. Several examples are given to illustrate our results. |
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| Keywords: | hyperbolic equations oscillation functional arguments |
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