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非线性积分微分方程组解的振动性
引用本文:李光华.非线性积分微分方程组解的振动性[J].系统科学与数学,1996,16(4):289-295.
作者姓名:李光华
作者单位:湖南怀化师范专科学校数学系,中国科学院应用数学研究所
基金项目:国家自然科学基金,中国科学院管理决策与信息系统开放研究实验室资助
摘    要:本文给出了一类积分微分方程组存在和不存在正解的若干充分条件.

关 键 词:积分微分方程组,非线性,振动性

OSCILLATIONS OF SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRODIFFERENTIAL EQUATIONS
Li Guanghua,Yu Yuanhong.OSCILLATIONS OF SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRODIFFERENTIAL EQUATIONS[J].Journal of Systems Science and Mathematical Sciences,1996,16(4):289-295.
Authors:Li Guanghua  Yu Yuanhong
Institution:(1)Department of Mathematics,Huaihua Normal College,Hunan 418008;(2)Institute of Applied Mathematics,Academia Sinica,Beijing100080
Abstract:In this paper,we establish the conditions under which the system of integrodifferentialEquations cannot have a solution on an intervalT,],such that each of its Components is positive on ,We also present the sufficient conditions for the existence of A solution on an interval ,T>0,of the system such that all its components are positiveOn.
Keywords:Integrodifferential equations  nonlinear  oscillations  
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