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超前非稳定型微分方程的振动解的渐近性
Asympotic Behavior of Oscillatory solution to Advanced Type unstable Differential Equations
【摘要】 研究超前型微分方程 x′(t) =p(t) x(g(t) ) ,t≥ 0的振动解的渐近性 ,给出保证其每一振动解趋近于零的一组充分条件 ,其中 p(t)是在任何有限区间可积的正值函数
【Abstract】 In this paper, asympotic behavior of the oscillatory solutions to advanced type unstable differential equations \%x\+′(t)=p(t)x(g(t)),t≥0\% is studied, and some sufficient conditions that guarantee every osci llatory solution of the equation convergent to zero are obtained.
【关键词】 超前型;
微分方程;
振动解;
渐近性;
【Key words】 advanced type; differential equations; oscillatory solution; asympotic behavior;
【Key words】 advanced type; differential equations; oscillatory solution; asympotic behavior;
- 【文献出处】 辽宁工学院学报 ,Journal of Liaoning Institute of Technology , 编辑部邮箱 ,2002年01期
- 【分类号】O175.5
- 【下载频次】12