Blow-up time for solutions to some nonlinear Volterra integral equations

被引：13

作者：

Malolepszy, Tomasz ^{[2
]}

Okrasinski, Wojciech ^{[1
]}

机构：

[1] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

[2] Univ Zielona Gora, Fac Math Comp Sci & Econometr, PL-65246 Zielona Gora, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 366卷 / 01期

关键词：

Volterra equation; Nonlinear integral equations; Blow-up time;

D O I：

10.1016/j.jmaa.2010.01.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of the estimating of a blow-up time for solutions of Volterra nonlinear integral equation with convolution kernel is studied. New estimates, lower and upper, are found and. moreover. the procedure for the improvement of the lower estimate is presented. Main results are illustrated by examples. The new estimates are also compared with some earlier ones related to a shear band model. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：372 / 384

页数：13

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