scholarly journals Positive periodic solution of higher-order functional difference equation

2011 ◽  
Vol 2011 (1) ◽  
Author(s):  
Mei-Lan Tang ◽  
Xin-Ge Liu
Keyword(s):  
Periodic Solution ◽  
Difference Equation ◽  
Positive Periodic Solution ◽  
Higher Order ◽  
Functional Difference ◽  
Functional Difference Equation

Positive Periodic Solutions for a Higher Order Functional Difference Equation

2013 ◽  
Vol 23 (2) ◽  
pp. 195-208
Author(s):  
Jacob D. Johnson ◽  
Lingju Kong ◽  
Michael G. Ruddy ◽  
Alexander M. Ruys de Perez
Keyword(s):  
Difference Equation ◽  
Periodic Solutions ◽  
Higher Order ◽  
Functional Difference ◽  
Positive Periodic Solutions ◽  
Functional Difference Equation

scholarly journals Oscillation of a Class of Third Order Generalized Functional Difference Equation

2018 ◽  
Author(s):  
P.Venkata Mohan Reddy ◽  
Adem Kilicman ◽  
Maria Susai Manuel
Keyword(s):  
Difference Equation ◽  
Sufficient Conditions ◽  
Functional Difference ◽  
Third Order ◽  
Oscillation Criteria ◽  
Functional Difference Equation

The authors intend to establish new oscillation criteria for a class of generalized third order functional difference equation of the form \begin{equation}{\label{eq01}} \Delta_{\ell}\left(a_2(n)\left[\Delta_{\ell}\left(a_1(n)\left[\Delta_{\ell}z(n)\right]^{\beta_1}\right)\right]^{\beta_2}\right)+q(n)f(x(g(n)))=0, ~~n\geq n_0, \end{equation} where $z(n)=x(n)+p(n)x(\tau(n))$. We also present sufficient conditions for the solutions to converges to zero. Suitable examples are presented to validate our main results.

scholarly journals Remarks on: “Oscillation criteria for second-order functional difference equation with neutral terms” [Demonstratio Math. 41 (2008)]

2009 ◽  
Vol 42 (3) ◽  
Author(s):  
Başak Karpuz
Keyword(s):  
Difference Equation ◽  
Second Order ◽  
Functional Difference ◽  
Oscillation Criteria ◽  
Counter Example ◽  
Functional Difference Equation

AbstractIn this paper, we show that the paper mentioned in the title includes some wrong results. We also provide a counter example.

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