scholarly journals OSCILLATORY AND ASYMPTOTIC SOLUTIONS OF QUASILINEAR THIRD-ORDER DELAY DIFFERENCE EQUATIONS

2021 ◽  
Vol 1850 (1) ◽  
pp. 012123
Author(s):  
S Revathy ◽  
R Kodeeswaran
Keyword(s):  
Difference Equations ◽  
Asymptotic Solutions ◽  
Third Order ◽  
Delay Difference Equations ◽  
Delay Difference

scholarly journals Oscillation of third-order delay difference equations with negative damping term

2018 ◽  
Vol 72 (1) ◽  
pp. 19
Author(s):  
Martin Bohner ◽  
Srinivasan Geetha ◽  
Srinivasan Selvarangam ◽  
Ethiraju Thandapani
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Comparison Theorems ◽  
Asymptotic Behavior Of Solutions ◽  
Delay Difference Equation ◽  
Third Order ◽  
Negative Damping ◽  
The Difference ◽  
Delay Difference Equations ◽  
Delay Difference

The aim of this paper is to investigate the oscillatory and asymptotic behavior of solutions of a third-order delay difference equation. By using comparison theorems, we deduce oscillation of the difference equation from its relation to certain associated first-order delay difference equations or inequalities. Examples are given to illustrate the main results.<br /><br />

scholarly journals Oscillation theorems for third order nonlinear delay difference equations

2018 ◽  
Vol 144 (1) ◽  
pp. 25-37 ◽  
Author(s):  
Kumar S. Vidhyaa ◽  
Chinnappa Dharuman ◽  
Ethiraju Thandapani ◽  
Sandra Pinelas
Keyword(s):  
Difference Equations ◽  
Third Order ◽  
Oscillation Theorems ◽  
Delay Difference Equations ◽  
Delay Difference ◽  
Nonlinear Delay

scholarly journals Oscillation criteria of third-order nonlinear neutral delay difference equations with noncanonical operators

2021 ◽  
pp. 11-11
Author(s):  
G. Ayyappan ◽  
G.E. Chatzarakis ◽  
T. Gopal ◽  
E. Thandapani
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Neutral Delay ◽  
Third Order ◽  
Neutral Difference Equations ◽  
Oscillation Criteria ◽  
All Solutions ◽  
Delay Difference Equations ◽  
Delay Difference ◽  
New Criteria

In this paper, we present some new oscillation criteria for nonlinear neutral difference equations of the form ?(b(n)?(a(n)?z(n))) + q(n)x?(?(n)) = 0 where z(n) = x(n) + p(n)x(?(n)),? > 0, b(n) > 0, a(n) > 0, q(n) ? 0 and p(n) > 1. By summation averaging technique, we establish new criteria for the oscillation of all solutions of the studied difference equation above. We present four examples to show the strength of the new obtained results.

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