Autor:	O. V. Anashkin
Rok vydání:	2001
Předmět:	Statistics and Probability Differential equation Applied Mathematics General Mathematics Mathematical analysis Point (geometry) Type (model theory) Stability (probability) Mathematics
Zdroj:	Journal of Mathematical Sciences. 103:1-5
ISSN:	1072-3374
DOI:	10.1023/a:1026605924366
Popis:	New results on the stability of functional differential equations of the delayed type with a small parameter μ are reported. The right-hand side of the investigated system is assumed to satisfy Caratheodory-type conditions for the existence of a solution of the initial-value problem and to be globally continuous with respect to the parameter μ at the point μ. Under these assumptions the results can be used to investigate functional differential equations with rapidly oscillating coefficients. The concept of μ-stability is defined, and sufficient conditions for μ-stability are formulated in terms of Lyapunov-type functionals.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::77a2331b61e330cf5de4b884d75ea613 https://doi.org/10.1023/a:1026605924366 Zobrazit plný text záznamu Full text from SpringerLink