BOUNDEDNESS IN NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY

Autor:	Dong Man Im, Yoon Hoe Goo
Rok vydání:	2016
Předmět:	03 medical and health sciences Nonlinear system Pure mathematics 0302 clinical medicine Fundamental matrix (linear differential equation) 030220 oncology & carcinogenesis Bounded function 030211 gastroenterology & hepatology Arithmetic Differential systems Mathematics
Zdroj:	Korean Journal of Mathematics. 24:723-736
ISSN:	1976-8605
Popis:	This paper shows that the solutions to nonlinear perturbed differential system $$ y'=f(t,y)+\int_{t_0}^tg(s,y(s))ds+h(t,y(t),Ty(t)) $$ have bounded properties. To show the bounded properties, we impose conditions on the perturbed part $\int_{t_0}^tg(s,y(s))ds$, $h(t,y(t),Ty(t))$, and on the fundamental matrix of the unperturbed system $y'=f(t,y)$ using the notion of $h$-stability.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::720fba2d189960c4cb211e6c9e4d666c https://doi.org/10.11568/kjm.2016.24.4.723 Zobrazit plný text záznamu