Asymptotic estimate for differential equation with power coefficients and power delays

Rok, strany: 2011, 91 - 99

The paper analyzes the asymptotic bounds of solutions of differential equation with power coefficients, power delays and a forcing term in the form $ \dot y(t)=∑_j=0^ma_j t^α_jy(t^λ_j)+f(t)$, where $a₀$ is a negative real, $λ₀=1$ and $0<λ_i<1$, $i=1,…,m$. 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.

ISO 690:

Kundrát, P. 2011. Asymptotic estimate for differential equation with power coefficients and power delays. In Tatra Mountains Mathematical Publications, vol. 48, no.1, pp. 91-99. 1210-3195.

APA:

Kundrát, P. (2011). Asymptotic estimate for differential equation with power coefficients and power delays. Tatra Mountains Mathematical Publications, 48(1), 91-99. 1210-3195.