A NONLINEAR ABEL INTEGRAL-EQUATION

被引：0
|
作者：
ANG, DD [1 ]
GORENFLO, R [1 ]
机构：
[1] FREE UNIV BERLIN, FACHBEREICH MATH, W-1000 BERLIN 33, GERMANY
来源：
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES | 1991年 / 149卷
关键词：
NONLINEAR ABEL INTEGRAL EQUATION; EXISTENCE AND UNIQUENESS OF SOLUTIONS; REGULARIZATION; STABILITY ESTIMATES; AMS(MOS) SUBJECT CLASSIFICATIONS 45E10; 45G05; 45L05; 65R20;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For the general nonlinear Abel integral equation 1/GAMMA(alpha) integral-x/0 (x - t)alpha-1K(x, t, u(t))dt = f(x), 0 less-than-or-equal-to x less-than-or-equal-to 1, 0 < alpha < 1, some theorems on existence and uniqueness of solutions in L(p), 1 less-than-or-equal-to p less-than-or-equal-to infinity, and in C[0, 1] are established. Furthermore, methods of regularization are described and stability estimates are given.
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页码：26 / 37
页数：12
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