Nonoscillation, oscillation and growth of solutions of nonlinear difference equations of second order
type: Item
instance of: scholarly article
title: Nonoscillation, oscillation and growth of solutions of nonlinear difference equations of second order
zbMATH Open document ID: 0589.39003
DOI: 10.1016/0022-247X(85)90174-X
author: B. Szmanda
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The paper is concerned with second-order nonlinear difference equations over the set of natural numbers. Based on assumptions on nonnegativity of some coefficients or some functions as well as on some growth properties, a number of theorems consisting of sufficient conditions for the non- oscillatory resp. the oscillatory behavior of the solutions of the difference equation are derived. Furthermore, results on the growth of the solutions are proved. The theorems are proved by elementary means.
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 3946793
zbMATH Keywords: growth of solutions
zbMATH Keywords: second-order nonlinear difference equations
zbMATH Keywords: non- oscillatory
MaRDI profile type: Publication
cites work: Q4143603
cites work: Q5563598
cites work: Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order
cites work: Q3903322
cites work: Q4097577
cites work: Asymptotic properties of solutions of functional differential equations of arbitrary order
cites work: Riccati type transformations for second-order linear difference equations
cites work: Further results on oscillation of functional-differential equations
cites work: Q4746198
description: scientific article; zbMATH DE number 3946793