Oscillatory Behavior of Third-Order Nonlinear Difference Equations with a Nonlinear-Nonpositive Neutral Term

2019 ◽  
Vol 16 (5) ◽  
Author(s):  
Said R. Grace
Keyword(s):  
Difference Equations ◽  
Oscillatory Behavior ◽  
Nonlinear Difference Equations ◽  
Third Order ◽  
Neutral Term

scholarly journals Oscillatory Behavior of Second Order Nonlinear Difference Equations with a Non-Positive Neutral Term

2018 ◽  
Vol 2(2018) (1) ◽  
pp. 240-252
Author(s):  
Said R. Grace ◽  
◽  
Shurong Sun ◽  
Limei Feng ◽  
Ying Sui ◽  
...  
Keyword(s):  
Difference Equations ◽  
Oscillatory Behavior ◽  
Second Order ◽  
Nonlinear Difference Equations ◽  
Neutral Term

On the oscillation of third order nonlinear difference equations

2009 ◽  
Vol 32 (1) ◽  
pp. 189-203 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Said R. Grace ◽  
Patricia J. Y. Wong
Keyword(s):  
Difference Equations ◽  
Nonlinear Difference Equations ◽  
Third Order

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 criteria for certain third order nonlinear difference equations

2009 ◽  
Vol 3 (1) ◽  
pp. 27-38 ◽  
Author(s):  
Said Grace ◽  
Ravi Agarwal ◽  
John Graef
Keyword(s):  
Difference Equations ◽  
Nonlinear Difference Equations ◽  
Third Order ◽  
Oscillation Criteria ◽  
All Solutions ◽  
New Criteria

Some new criteria for the oscillation of all solutions of third order nonlinear difference equations of the form ? (a(n)(?2 x(n))? + q(n)f (x[g(n)]) = 0 and ? (a(n)(?2 x(n))? = q(n)f (x[g(n)]) + p(n)h(x[?(n)]) ? -1/? with P a (n) < ? are established.

scholarly journals Oscillation of second-order nonlinear difference equations with sublinear neutral term

2019 ◽  
Vol 23 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Martin Bohner ◽  
Hassan El-Morshedy ◽  
Said Grace ◽  
Ilgin Sağer
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Nonlinear Difference Equations ◽  
Neutral Term
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