Existence of a solution of discrete Emden-Fowler equation caused by continuous equation

Result type
journal article in Web of Science database
Description

Abstract. The paper studies the asymptotic behaviour of solutions to a second-order non-linear discrete equation of Emden–Fowler type. Unlike the classical Emden–Fowler differential equation of second-order, the discrete analog does not have an exact solution of a power-type function. It is proved that in some cases a power-type function describes a solution of discrete equation.

Keywords
Discrete Emden–Fowler equation
exact solution
formal solution
asymptotic behavior.