Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708919 | Applied Mathematics Letters | 2012 | 6 Pages |
Abstract
Let II be a an open real interval. We show that if a function H:I×R→IH:I×R→I satisfies the inequality |H(H(x0,s),t)−H(x0,s+t)|≤δfor s,t∈R with a δ≥0δ≥0 and an x0∈Ix0∈I such that the function H(x0,⋅)H(x0,⋅) is a continuous surjection of RR onto II, then there exists a dynamical system FF on II such that |H(x,t)−F(x,t)|≤9δfor x∈I,t∈R.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
J. Chudziak,