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.

引用

页码：555 / 572

页数：18

共 50 条

[1] Nonlinear abel integral equation
Lecture Notes in Mathematics, 1991, 1461
[2] Numerical solution of a nonlinear Abel type Volterra integral equation
Diogo, T
Lima, P
Rebelo, M
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2006, 5 (02) : 277 - 288
[3] A NONLINEAR ABEL INTEGRAL-EQUATION
ANG, DD
GORENFLO, R
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1991, 149 : 26 - 37
[4] Uniqueness of solutions to an Abel type nonlinear integral equation on the half line
Mydlarczyk, Wojciech
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (06): : 1995 - 2002
[5] Positive solutions to a nonlinear Abel-type integral equation on the whole line
Mydlarczyk, W
Okrasinski, W
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (7-8) : 835 - 842
[6] ON MONOTONIC SOLUTIONS OF AN INTEGRAL EQUATION OF ABEL TYPE
Darwish, Mohamed Abdalla
MATHEMATICA BOHEMICA, 2008, 133 (04): : 407 - 420
[7] On solution of nonlinear Abel-Volterra integral equation
Kilbas, AA
Saigo, M
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 229 (01) : 41 - 60
[8] Solution of nonlinear Abel-Volterra integral equation
Kilbas, AA
DOKLADY AKADEMII NAUK BELARUSI, 1996, 40 (01): : 13 - 17
[9] An inverse bifurcation problem and an integral equation of the Abel type
Iwasaki, K
Kamimura, Y
INVERSE PROBLEMS, 1997, 13 (04) : 1015 - 1031
[10] On a perturbed quadratic fractional integral equation of Abel type
Darwish, Mohamed Abdalla
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 182 - 190

← 1 2 3 4 5 →