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里卡蒂方法研究带泛函参数的非线性脉冲时滞双曲方程的振动性

邹敏 陈荣三 刘安平

数学杂志2017,Vol.37Issue(5):1007-1012,6.
数学杂志2017,Vol.37Issue(5):1007-1012,6.

里卡蒂方法研究带泛函参数的非线性脉冲时滞双曲方程的振动性

OSCILLATION OF NONLINEAR IMPULSIVE DELAY HYPERBOLIC EQUATION WITH FUNCTIONAL ARGUMENTS VIA RICCATI METHOD

邹敏 1陈荣三 1刘安平1

作者信息

  • 1. 中国地质大学(武汉)数学与物理学院,湖北武汉 430074
  • 折叠

摘要

Abstract

In this paper, we mainly deal with the oscillation problems of nonlinear impulsive hyperbolic equation with functional arguments. By using integral averaging method and a gener-alized Riccati technique, a sufficient condition for oscillation of the solutions of nonlinear impulsive hyperbolic equation with functional arguments is obtained. We can make better use of some exist-ing conclusions about oscillation of the solutions of impulsive ordinary differential equations with delay.

关键词

振动/脉冲/时滞/双曲方程/Riccati不等式

Key words

oscillation/impulsive/delay/hyperbolic equation/Riccati inequality

分类

数理科学

引用本文复制引用

邹敏,陈荣三,刘安平..里卡蒂方法研究带泛函参数的非线性脉冲时滞双曲方程的振动性[J].数学杂志,2017,37(5):1007-1012,6.

基金项目

Supported by National Natural Science Foundation of China (11201436). (11201436)

数学杂志

OACSTPCD

0255-7797

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