| 一类脉冲中立型抛物方程解的强迫振动性 |
| |
| 引用本文： | 杨向辉,薛秋条,刘克英.一类脉冲中立型抛物方程解的强迫振动性[J].南阳师范学院学报,2005,4(3):1-5. |
| |
| 作者姓名： | 杨向辉 薛秋条 刘克英 |
| |
| 作者单位： | 1. 中国地质大学,数理系,湖北,武汉,430074
2. 中国地质大学,数理系,湖北,武汉,430074;南阳师范学院,数学系,河南,南阳,473061 |
| |
| 基金项目： | 国家自然科学基金资助项目(40373003)，湖北省自然科学基金资助项目(2002AB018) |
| |
| 摘 要： | 讨论了一类具有连续分布滞量的脉冲中立型抛物方程解的强迫振动性，利用微分不等式方法将所讨论的脉冲中立型偏微分方程转化为脉冲中立型时滞微分方程的问题，获得了其一切解振动的充分性判据；将脉冲中立型微分方程的振动性质推广到具时滞的脉冲中立型偏微分方程．
|
| 关 键 词： | 脉冲 中立型 强迫振动 抛物方程 |
| 文章编号： | 1671-6132(2005)03-0001-05 |
| 修稿时间： | 2004年10月19 |
Forced Oscillation of a Kind of Impulsive Parabolic Differential Equations of Neutral Type |
| |
| YANG Xiang-hui,XUE Qiu-tiao,LIU Ke-ying.Forced Oscillation of a Kind of Impulsive Parabolic Differential Equations of Neutral Type[J].Journal of Nanyang Teachers College,2005,4(3):1-5. |
| |
| Authors: | YANG Xiang-hui XUE Qiu-tiao LIU Ke-ying |
| |
| Institution: | YANG Xiang-hui~1,XUE Qiu-tiao~1,LIU Ke-ying~ |
| |
| Abstract: | Discussed in this paper is the forced oscillation of solutions of impulsive parabolic differential equations with continuous distributed deviating arguments.It inverted the discussed impulsive delayed partal differential equations of neutral type into impulsive delayed ordinary differential equations of neutral type via the method of differential inequalities.Several sufficient criterias are established for oscillations of the solutions;the results fully extend the oscillatory properties of impulsive differential equations of neutral type to impulsive partial differential equations with delayed of neutral type. |
| |
| Keywords: | impulsive neutral type forced oscillation parabolic differential equations |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
