BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS

Authors :: Yoon Hoe Goo
Source :: The Pure and Applied Mathematics. 20:223-232
Publication Year :: 2013
Publisher :: Korea Society of Mathematical Education, 2013.
Abstract: Alexseev`s formula generalizes the variation of constants formula and permits the study of a nonlinear perturbation of a system with certain stability properties. In recent years M. Pinto introduced the notion of -stability. S.K. Choi et al. investigated -stability for the nonlinear differential systems using the notion of -similarity. Applying these two notions, we study bounds for solutions of the perturbed differential systems.