Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628974 | Applied Mathematics and Computation | 2013 | 9 Pages |
Abstract
We give sufficient conditions for the system of nonlinear functional differential equations of the formxâ²(t+1)=Axâ²(t)+F(t,x(t),x(v(1)(t)),â¦,x(v(k)(t)),xâ²(g1(t)),â¦,xâ²(gl(t))),where A is a matrix, detAâ 0, v(j)(t)=Ïj1(t,x(Ïj2(â¦x(Ïjmj(t,x(t)))â¦))), j=1,k¯, and functions F:R+Ã(Rn)k+l+1âRn, gj:R+âR+, j=1,l¯, Ïji:R+ÃRnâR+, j=1,k¯, i=1,mj¯, are continuous, for the unique existence of continuously differentiable solutions x(t) which are bounded together with their first derivatives on R+=[0,â) and satisfy the condition limtâ+â|x(t+1)-Ax(t)|=0.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stevo SteviÄ,