Irina Astashova

On Asymptotic Equivalence of n-th Order Nonlinear Differential Equations

abstract:
This paper is devoted to the problem of asymptotic equivalence of $n$-th order differential equations with exponentially equivalent right-hand sides. With the help of the obtained result asymptotic behavior of solutions to perturbed differential equations is described.

Mathematics Subject Classification: 34C41

Key words and phrases: Higher-order nonlinear equation, asymptotic equivalence