A MULTIPLE NONLINEAR ABEL TYPE INTEGRAL EQUATION

被引：2
|
作者：
Mydlarczyk, W. [1 ]
机构：
[1] Wroclaw Univ Technol, Fac Pure & Appl Math, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland
来源：
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2015年 / 27卷 / 04期
关键词：
Nonlinear Abel type integral equations; the existence and uniqueness of solutions to integral Volterra equations; nontrivial solutions; the maximal solution; blow-up solutions; VOLTERRA-EQUATIONS; BLOW-UP; IGNITION;
D O I：
10.1216/JIE-2015-27-4-555
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss a multiple nonlinear Abel type integral equation. The basic results provide criteria for the existence of nontrivial everywhere positive solutions. They are expressed in terms of the generalized Osgood condition. The global behavior of the solution, especially the conditions when it experiences blow-up, is also considered.
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页码：555 / 572
页数：18
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