Asymptotic behavior of solutions of linear homogeneous second-order difference equations

1999 ◽  
Vol 66 (2) ◽  
pp. 167-170
Author(s):  
A. D. Kozak ◽  
O. N. Novoselov
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Second Order ◽  
Asymptotic Behavior Of Solutions ◽  
Order Difference

scholarly journals Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Janusz Migda ◽  
Małgorzata Migda ◽  
Magdalena Nockowska-Rosiak
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Existence Of Solutions ◽  
Asymptotic Properties ◽  
Sufficient Conditions ◽  
Type Equation ◽  
Asymptotic Behavior Of Solutions ◽  
Volterra Type ◽  
Order Difference ◽  
Prescribed Asymptotic Behavior

We consider the discrete Volterra type equation of the form Δ(rnΔxn)=bn+∑k=1nK(n,k)f(xk). We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior. Moreover, we study the asymptotic behavior of solutions. We use o(ns), for given nonpositive real s, as a measure of approximation.

scholarly journals The Asymptotic Behavior of Solutions of Second order Difference Equations With Damping Term

2018 ◽  
Vol 14 (2) ◽  
pp. 7806-7811
Author(s):  
Jai Kumar S ◽  
K. Alagesan
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equation ◽  
Sufficient Conditions ◽  
Second Order ◽  
Asymptotic Behavior Of Solutions ◽  
Damping Term ◽  
Order Difference ◽  
Keywords And Phrases ◽  
Second Order Difference Equation ◽  
Order Difference Equation

  The author presents some sufficient conditions for second order difference equation with damping term of the form                                                                             ^(an ^(xn + cxn-k)) + pn^xn + qnf(xn+1-l) = 0 An example is given to illustrate the main results. 2010 AMS Subject Classification: 39A11 Keywords and Phrases: Second order, difference equation, damping term.

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