Open AccessNew Oscillation Conditions for Second Order Half-Linear Advanced Difference Equations
Author(s) -
P. Dinakar,
S. Selvarangam,
E. Thandapani
Publication year - 2019
Publication title -
international journal of mathematical, engineering and management sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 10
ISSN - 2455-7749
DOI - 10.33889/ijmems.2019.4.6-115
Subject(s) - oscillation (cell signaling) , complement (music) , mathematics , transformation (genetics) , order (exchange) , riccati equation , zero (linguistics) , mathematical analysis , linear equation , differential equation , complementation , biology , economics , gene , phenotype , biochemistry , chemistry , genetics , linguistics , philosophy , finance
This paper aims to establish adequate conditions that are intended for the oscillation of every solution of the second order advanced type half-linear difference equations with noncanonical form. Initially, we derive a sufficient condition that ensures all solutions of the studied equation are either oscillatory or tending to zero. Secondly, we obtain a criteria for the oscillation of all solutions of the studied equation. These criteria are obtained by using Riccati transformation and summation averaging method. The results established in this paper in essence complement, extend and enhance the existing outcomes recorded in the literature. The improvement of our main results are illustrated through three examples.