A new upper estimation for the blow-up time of solutions of a Volterra integral equation and its application to the modeling of the formation of shear bands

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:448

Article

Malolepszy, Tomasz¹ 

[1] Univ Zielona Gora, Fac Math Comp Sci & Econometr, Ul Prof Z Szafrana 4a, PL-65516 Zielona Gora, Poland

关键词: Volterra integral equation;    Blow-up solutions;    Estimation of the blow-up time;    Formation of shear bands;   

DOI  :  10.1016/j.jmaa.2016.11.035

来源: Elsevier

【 摘 要 】

The estimation of the blow-up time of a class of Volterra integral equations of convolution type is studied. A new upper estimate of the blow-up time, expressed in terms of the convergence of a certain integral, is found. Moreover, it turns out that the aforementioned upper estimate can be applied to an even more general class of Volterra integral equations, like the one describing the formation of shear bands in steel. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free