scholarly journals Asymptotic behavior of solutions of functional difference equations

2005 ◽  
Vol 305 (2) ◽  
pp. 391-410 ◽  
Author(s):  
Hideaki Matsunaga ◽  
Satoru Murakami
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Functional Difference ◽  
Functional Difference Equations

scholarly journals Asymptotic Behavior of Higher Order Quasilinear Neutral Difference Equations

2016 ◽  
Vol 8 (6) ◽  
pp. 148
Author(s):  
V. Sadhasivam ◽  
Pon. Sundar ◽  
A. Santhi
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Higher Order ◽  
Asymptotic Behavior Of Solutions ◽  
Functional Difference ◽  
Order Difference ◽  
Neutral Difference Equations ◽  
Odd Order ◽  
Functional Difference Equations

We study, the asymptotic behavior of solutions to a class of higher order quasilinear neutral difference equations under the assumptions that allow applications to even and odd-order difference equations with delayed and advanced arguments, as well as to functional difference equations with more complex arguments that may for instance, alternate infinitely between delayed and advanced types. New theorems extend a number of results reported in the literature. Illustrative examples are presented.

scholarly journals Oscillation of nonlinear third order perturbed functional difference equations

2019 ◽  
Vol 6 (1) ◽  
pp. 57-64 ◽  
Author(s):  
P. Dinakar ◽  
S. Selvarangam ◽  
E. Thandapani
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equation ◽  
Difference Equations ◽  
Sufficient Conditions ◽  
Functional Difference ◽  
Third Order ◽  
All Solutions ◽  
Functional Difference Equation ◽  
Functional Difference Equations

AbstractThis paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference equation\Delta {\left( {{b_n}\Delta ({a_n}(\Delta {x_n}} \right)^\alpha })) + {p_n}f\left( {{x_{\sigma \left( n \right)}}} \right) = g\left( {n,{x_n},{x_{\sigma (n)}},\Delta {x_n}} \right),\,\,\,n \ge {n_0}.By using comparison techniques we present some new sufficient conditions for the oscillation of all solutions of the studied equation. Examples illustrating the main results are included.

Convergent solutions of functional difference equations

1997 ◽  
Vol 3 (3-4) ◽  
pp. 277-288
Author(s):  
R. Medina ◽  
M. Pinto
Keyword(s):  
Difference Equations ◽  
Functional Difference ◽  
Functional Difference Equations

Eigenoscillations of a fluid in a canonical domain and functional difference equations

Wave Motion ◽  
2018 ◽  
Vol 83 ◽  
pp. 1-11
Author(s):  
Mikhail A. Lyalinov ◽  
Ksenia Sintsova
Keyword(s):  
Difference Equations ◽  
Functional Difference ◽  
Canonical Domain ◽  
Functional Difference Equations
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