Open AccessExistence of Oscillatory Solutions of Linear First order Neutral Delay Difference Equations
Author(s) -
R. Jesinthaangel,
G. Gomathi Jawahar,
J. Daphy Louis Lovenia
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1543/1/012004
Subject(s) - materials science , algorithm , computer science
This paper is concerned with the oscillatory behaviour of first order neutral delay difference equation of the form, Δ [ w ( e ) − p ( e ) w ( e − α ) ] − q ( e ) w ( e − η ) = 0 , α , η > 0 and p ( e ), q ( e ) are sequence of non-negative real numbers. Sufficient conditions involving oscillation of all solutions are established. These conditions improve all previous well known results in the literature. Examples illustrating the significance of the results.