一类非线性时滞双曲型分布参数系统的振动条件

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (4) : 1-3.

论文

罗李平，曾云辉，罗振国

作者信息 +

Oscillation conditions of a class of nonlinear delay hyperbolic distributed parameter systems

LUO Liping，ZENG Yunhui，LUO Zhenguo

Author information +

文章历史 +

摘要

研究一类非线性时滞双曲型分布参数系统解的振动性问题, 利用积分平均法、广义Riccati变换和型函数, 建立了该类系统在第三类边值条件下所有解振动的若干新的充分判据。所得结论充分显示这种振动性是由时滞引起的, 并给出一个实例来阐述主要结果的有效性。

Abstract

The oscillatory problems of solutions for a class of nonlinear delay hyperbolic distributed parameter systems are studied. By using integral averaging method, generalized Riccati transformation and type function, some new sufficient criteria are established for oscillation of all solutions of the systems under third boundary value condition. The obtained results fully show that the oscillation is caused by delay and its effectiveness is illustrated by an example.

导出引用

罗李平，曾云辉，罗振国. 一类非线性时滞双曲型分布参数系统的振动条件[J]. 振动与冲击, 2022, 41(4): 1-3

LUO Liping，ZENG Yunhui，LUO Zhenguo. Oscillation conditions of a class of nonlinear delay hyperbolic distributed parameter systems[J]. Journal of Vibration and Shock, 2022, 41(4): 1-3

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