Asymptotic estimate for differential equation with power coefficients and power delays

The paper analyzes the asymptotic bounds of solutions of differential equation with power coefficients, power delays and a forcing term in the form , where a₀ is a negative real, λ₀ = 1 and . 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.