Asymptotic convergence of solutions of a scalar q-difference equation with double delays

2015 ◽  
Vol 148 (2) ◽  
pp. 279-293
Author(s):  
H. Bereketoglu ◽  
M. E. Kavgaci ◽  
G. S. Oztepe
Keyword(s):  
Difference Equation ◽  
Asymptotic Convergence ◽  
Convergence Of Solutions

scholarly journals Global existence and convergence of solutions of the Calabi flow on Einstein 4-manifolds

2001 ◽  
Vol 163 ◽  
pp. 193-214 ◽  
Author(s):  
Shu-Cheng Chang
Keyword(s):  
Global Existence ◽  
Asymptotic Convergence ◽  
Type Estimate ◽  
Convergence Of Solutions ◽  
Calabi Flow ◽  
Long Time Existence ◽  
Long Time ◽  
Bondi Mass ◽  
Time Existence ◽  
Mass Type

In this paper, firstly, we show the Bondi-mass type estimate of solutions of Calabi flow on closed 4-manifolds. Secondly, in our applications, we obtain the long time existence on closed 4-manifolds. In particular, we are able to show the asymptotic convergence of a subsequence of solutions of the Calabi flow on closed Einstein 4-manifolds.

scholarly journals Global Dynamics of a Higher Order Difference Equation with a Quadratic Term

2020 ◽  
Author(s):  
Erkan Taşdemir
Keyword(s):  
Difference Equation ◽  
Rate Of Convergence ◽  
Difference Equations ◽  
Initial Conditions ◽  
Higher Order ◽  
Quadratic Term ◽  
Global Dynamics ◽  
Order Difference ◽  
Convergence Of Solutions ◽  
Order Difference Equation

In this paper, we investigate the dynamics of following higher order difference equation x_{n+1}=A+B((x_{n})/(x_{n-m}²)) with A,B and initial conditions are positive numbers, and m∈{2,3,⋯}. Especially we study the boundedness, periodicity, semi-cycles, global asymptotically stability and rate of convergence of solutions of related higher order difference equations.

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