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非线性抛物型泛函偏微分方程组解的振动性
引用本文:高兴,周文洁.非线性抛物型泛函偏微分方程组解的振动性[J].科学技术与工程,2007,7(5):671-672681.
作者姓名:高兴  周文洁
作者单位:株洲职业技术学院,株洲,412001
基金项目:湖南省自然科学基金项目(05JJ40008),株洲职业技术学院科研项目(ZZYKY0603)资助
摘    要:讨论一类非线性抛物型时滞偏微分方程组解的振动性,利用积分不等式和泛函微分方程的某些结果,获得了该类方程组振动的若干充分条件.结论充分表明振动是由时滞量引起的。

关 键 词:非线性  时滞  抛物型偏微分方程组  振动性
文章编号:24015166
修稿时间:2006-10-18

Oscillation of Solutions of Systems of Nonlinear Parabolic Functional Partial Differential Equations
GAO Xing,ZHOU Wen-jie.Oscillation of Solutions of Systems of Nonlinear Parabolic Functional Partial Differential Equations[J].Science Technology and Engineering,2007,7(5):671-672681.
Authors:GAO Xing  ZHOU Wen-jie
Institution:Zhuzhou Vocational Technology College, Zhuzhou, 412001, P.R. China
Abstract:The oscillation of solutions for a class of systems of nonlinear parabolic delay partial differential equations are studied. Some sufficient conditions are obtained for oscillation of the systems by making use of the integral inequalities and some results of the functional differential equations. The results fully indicate that the oscillation are caused by delay.
Keywords:nonlinear delay systems of parabolic partial differential equation oscillation
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