论文标题
增加半线性延迟微分方程的解决方案
On increasing solutions of half-linear delay differential equations
论文作者
论文摘要
我们建立条件,确保所有最终的半线性延迟差分方程的溶液定期变化,并为它们提供精确的渐近公式。此处介绍的结果在线性情况下也是新的,并且某些观测值也是针对非功能方程的原始观测值。指出了最终降低解决方案的延迟和非延迟情况之间的实质性差异。
We establish conditions guaranteeing that all eventually positive increasing solutions of a half-linear delay differential equation are regularly varying and derive precise asymptotic formulae for them. The results here presented are new also in the linear case and some of the observations are original also for non-functional equations. A substantial difference between the delayed and non-delayed case for eventually positive decreasing solutions is pointed out.