National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
Vanishing solutions of a second-order discrete non-linear equation of Emden-Fowler type
Diblík, J. ; Korobko, E.
The paper discusses a discrete equation of an Emden-Fowler type Δ2v(k) = -k3 (Δv(k))3 where v is a dependent variable, k is an integer-valued independent variable, Δv and Δ2v are the first and second-order forward differences of v, respectively. The paper aims to prove the existence of a nontrivial and vanishing solution for k ! 1. The equation is transformed into a system of two first-order difference equations, which makes it possible to apply previously known results when investigating the system.
Asymptotic Characterization Of Solutions Of Emden-Fowler Type Difference Equation
Korobko, Evgeniya
The paper derives an asymptotic formula describing the long-time behaviour of a solutionof a nonlinear Emden-Fowler type difference equation.
On Solutions Of A Discrete Equation Of Emden-Fowler Type
Korobko, Evgeniya
The present paper considers a discrete Emden-Fowler-type equation. It is proved that there exists at least one solution with a prescribed asymptotic behavior for all sufficiently large values of the independent variable. The proof is based on a result proved previously

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