Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631365 | Applied Mathematics and Computation | 2012 | 11 Pages |
Abstract
with integer delays ki and ji, ki > ji ⩾ 0 is considered. It is assumed that βi:Zn0-kââ[0,â),n0âZ,k=max{k1,k2,â¦,ks},Zpââ{p,p+1,â¦},pâZ,âi=1sβi(n)>0,sâZ1â is a fixed integer and nâZn0â. Criteria of asymptotic convergence of solutions are expressed in terms of inequalities for the functions βi, i = 1, â¦Â , s. Some general properties of solutions are derived as well. It is, e.g., proved that, for the asymptotical convergence of all solutions, the existence of a strictly monotone and asymptotically convergent solution is sufficient. A crucial role in the analysis of convergence is played by an auxiliary inequality derived from the form of a given discrete equation.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J. DiblÃk, M. RůžiÄková, Z. Å utá,