Title
Approximate solutions of the logistic equation and Ulam stability.
Abstract
In the present work, we deal with the logistic equation and its stability with respect to perturbations. In fact, for perturbations below a certain threshold, we provide an estimate for the difference between solutions of the exact and perturbed models, which scales linearly with the magnitude of the perturbation. This actually proves the conditional Ulam stability of the logistic equation.
Year
DOI
Venue
2018
10.1016/j.aml.2018.05.018
Applied Mathematics Letters
Keywords
Field
DocType
Logistic model,Approximate solution,Ulam stability
Magnitude (mathematics),Mathematical analysis,Logistic function,Perturbation (astronomy),Mathematics
Journal
Volume
ISSN
Citations 
85
0893-9659
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
Dorian Popa1307.96
Ioan Rasa2158.99
Adrian Viorel351.68