The paper analyzes the asymptotic bounds of solutions ofdifferential equation with power coefficients, power delays and aforcing term in the form $ \dot y(t)=\sum\limits_{j=0}^{m}a_j t^{\alpha_j}y(t^{\lambda_j})+f(t)$, where $a_0$ is a negative real, $\lambda_0=1$ and $0<\lambda_i<1$, $i=1,\dots,m$. Some additional assumptions on power coefficients and a forcing term $f(t)$ are considered to obtain an asymptotic estimate for solutions of the studied differential equation. The application of the result is illustrated by several examples.
@article{110,
title = {Asymptotic estimate for differential equation with power coefficients and power delays},
journal = {Tatra Mountains Mathematical Publications},
volume = {49},
year = {2011},
doi = {10.2478/tatra.v48i0.110},
language = {EN},
url = {http://dml.mathdoc.fr/item/110}
}
Kundrát, Petr. Asymptotic estimate for differential equation with power coefficients and power delays. Tatra Mountains Mathematical Publications, Tome 49 (2011) . doi : 10.2478/tatra.v48i0.110. http://gdmltest.u-ga.fr/item/110/