Osgood type condition for the Volterra integral equations with bounded and nonincreasing kernels

Autor:	Tomasz Małolepszy
Rok vydání:	2014
Předmět:	symbols.namesake Type condition Anomalous diffusion Applied Mathematics Bounded function Mathematical analysis symbols Volterra equations Volterra integral equation Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 410:411-417
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2013.08.039
Popis:	This paper provides the necessary and sufficient Osgood type condition for the existence of blow-up solutions of Volterra equation with kernels being nonincreasing and bounded functions. Examples of such equations related to models of anomalous diffusion as well as some integral estimates of blow-up time are also presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::26bbcc7edb55f65d60a4008a47e353a7 https://doi.org/10.1016/j.jmaa.2013.08.039 Zobrazit plný text záznamu Full Text from ScienceDirect