A nonlinear Abel equation on the whole line

被引：4
|
作者：
Mydlarczyk, W [1 ]
机构：
[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 45卷 / 03期
关键词：
nonlinear integral Volterra equations; blowing up solutions; the Hilbert project metrics method; the existence and uniqueness of solutions to integral Volterra equations;
D O I：
10.1016/S0362-546X(99)00340-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Volterra integral equation of the form u(x) = ∫-∞x (x - s)∞-1 g(u(s))ds (-∞ < x, 0 < ∞ < 1) was examined, where g: [0, ∞) → [0, ∞) is continuous and nondecreasing with g(0) = 0 and g(x) > 0 for x > 0. Some theorems that proved this computations were presented.
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页码：273 / 279
页数：7
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