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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:410

Article

Malolepszy, Tomasz

关键词: Volterra equation;    Blow-up solutions;    Estimation of blow-up time;    Anomalous diffusion;   

DOI  :  10.1016/j.jmaa.2013.08.039

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free