OSCILLATION THEOREMS FOR SECOND ORDER NEUTRAL DIFFERENCE EQUATIONS WITH NONPOSITIVE SUBLINEAR NEUTRAL TERM

2020 ◽  
Vol 122 (1) ◽  
pp. 151-165
Author(s):  
G. Nithyakala ◽  
G. Ayyappan ◽  
R. Arul
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Neutral Difference Equations ◽  
Neutral Term ◽  
Oscillation Theorems

MODIFIED OSCILLATION CRITERIA OF SECOND-ORDER NEUTRAL DIFFERENCE EQUATIONS

2021 ◽  
Vol 28 (1-2) ◽  
pp. 19-30
Author(s):  
G. CHATZARAKIS G. CHATZARAKIS ◽  
R. KANAGASABAPATHI R. KANAGASABAPATHI ◽  
S. SELVARANGAM S. SELVARANGAM ◽  
E. THANDAPANI E. THANDAPANI
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Riccati Transformation ◽  
Nonlinear Difference Equations ◽  
Transformation Technique ◽  
Neutral Difference Equations ◽  
Oscillation Criteria ◽  
Neutral Term

In this paper we shall consider a class of second-order nonlinear difference equations with a negative neutral term. Some new oscillation criteria are obtained via Riccati transformation technique. These criteria improve and modify the existing results mentioned in the literature. Some examples are given to show the applicability and significance of the main results.

scholarly journals Oscillation theorems for second order difference equations woth negative neutral term

2015 ◽  
Vol 46 (4) ◽  
pp. 441-451 ◽  
Author(s):  
Ethiraju Thandapani ◽  
Devarajulu Seghar ◽  
Sandra Pinelas
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Second Order ◽  
Neutral Difference Equation ◽  
Order Difference ◽  
Oscillation Criteria ◽  
Neutral Term ◽  
Oscillation Theorems ◽  
Positive Integers

In this paper we obtain some new oscillation criteria for the neutral difference equation \begin{equation*} \Delta \Big(a_n (\Delta (x_n-p_n x_{n-k}))\Big)+q_n f(x_{n-l})=0 \end{equation*} where $0\leq p_n\leq p0$ and $l$ and $k$ are positive integers. Examples are presented to illustrate the main results. The results obtained in this paper improve and complement to the existing results.

Oscillation theorems for second-order delay difference equations with superlinear neutral terms

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Said R. Grace ◽  
John R. Graef
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
New Approach ◽  
Oscillation Criteria ◽  
Neutral Term ◽  
Oscillation Theorems ◽  
Delay Difference Equations ◽  
Delay Difference

Abstract Oscillation criteria for a class of second-order delay difference equations with a superlinear neutral term are established using a new approach. The results improve and significantly simplify the ones reported in the literature.

scholarly journals Oscillation theorems for second order nonlinear neutral difference equations

2014 ◽  
Vol 2014 (1) ◽  
pp. 417 ◽  
Author(s):  
Srinivasan Selvarangam ◽  
Ethiraju Thandapani ◽  
Sandra Pinelas
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Neutral Difference Equations ◽  
Oscillation Theorems
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