scholarly journals The asymptotic behavior of nonoscillatory solutions of nonlinear neutral type difference equations

2004 ◽  
Vol 39 (13) ◽  
pp. 1457-1465 ◽  
Author(s):  
E. Thandapani ◽  
R. Arul ◽  
P.S. Raja
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Neutral Type ◽  
Nonoscillatory Solutions

scholarly journals Neutral Difference System and its Nonoscillatory Solutions

2018 ◽  
Vol 71 (1) ◽  
pp. 139-148
Author(s):  
Jana Pasáčková
Keyword(s):  
Difference Equations ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Difference System ◽  
Nonlinear Difference Equations ◽  
Nonoscillatory Solutions ◽  
Weak Property ◽  
Property B

Abstract The paper deals with a system of four nonlinear difference equations where the first equation is of a neutral type. We study nonoscillatory solutions of the system and we present sufficient conditions for the system to have weak property B.

scholarly journals Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments

2020 ◽  
pp. 1-16
Author(s):  
Srinivasan Selvarangam ◽  
Sethurajan A. Rupadevi ◽  
Ethiraju Thandapani ◽  
Sandra Pinelas
Keyword(s):  
Difference Equations ◽  
Neutral Type ◽  
Third Order ◽  
Nonoscillatory Solutions ◽  
Equations With Delay

Oscillatory and asymptotic behavior of solutions of nonlinear neutral-type difference equations

1996 ◽  
Vol 38 (2) ◽  
pp. 163-171 ◽  
Author(s):  
John R. Graef ◽  
Agnes Miciano ◽  
Paul W. Spikes ◽  
P. Sundaram ◽  
E. Thandapani
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equation ◽  
Difference Equations ◽  
Neutral Type ◽  
Higher Order ◽  
Asymptotic Behavior Of Solutions ◽  
Delay Difference Equation ◽  
Neutral Delay ◽  
Image Position ◽  
Delay Difference

AbstractThe authors consider the higher-order nonlinear neutral delay difference equationand obtain results on the asymptotic behavior of solutions when (pn) is allowed to oscillate about the bifurcation value –1. We also consider the case where the sequence {pn} has arbitrarily large zeros. Examples illustrating the results are included, and suggestions for further research are indicated.

scholarly journals A classification scheme for nonoscilatory solutions of a higher order neutral nonlinear difference equation

1999 ◽  
Vol 67 (1) ◽  
pp. 122-142 ◽  
Author(s):  
Li Wan-Tong ◽  
Sui Sun Cheng ◽  
Guang Zhang
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Classification Scheme ◽  
Neutral Type ◽  
Higher Order ◽  
Nonlinear Difference Equation ◽  
Nonoscillatory Solutions ◽  
Order Difference ◽  
Asymptotic Behaviors ◽  
Existence Criteria

AbstractNonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic behaviors. Existence criteria are then provided for justification of such classficiation.

scholarly journals Existence of nonoscillatory solutions for system of neutral difference equations

2015 ◽  
Vol 9 (2) ◽  
pp. 271-284 ◽  
Author(s):  
Małgorzata Migda ◽  
Ewa Schmeidel ◽  
Małgorzata Zdanowicz
Keyword(s):  
Positive Solutions ◽  
Difference Equations ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Nonoscillatory Solutions ◽  
Neutral Difference Equations

The system of neutral type difference equations with delays {?(x(n) + p(n) x(n - ?))= a(n) f(y(n - l)) ?y(n) = b(n) g(z(n - m)) ?z(n) = c(n) h(x(n - k)) is considered. The aim of this paper is to present sufficient conditions for the existence of nonoscillatory bounded positive solutions of the considered system with various (p(n)).

Sign in / Sign up

Export Citation Format

Share Document