Existence of Nondecreasing Positive Solutions for a System of Singular Integral Equations

被引：22

作者：

Aghajani, Asadollah ^{[1
]}

Jalilian, Yaghoub ^{[1
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran, Iran

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2011年 / 8卷 / 04期

关键词：

Superposition operator; positive solution; system of singular integral equations; measure of noncompactness;

D O I：

10.1007/s00009-010-0095-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a monotonicity property of the superposition operator in higher dimensions will be proved. Then by using the concept of measure of noncompactness, we will establish the existence of nondecreasing positive solutions for a system of singular integral equations. Furthermore, the results will be used to investigate the solvability of the system of k (th) -order initial value problems.

引用

页码：563 / 576

页数：14

共 50 条

[21] Existence and multiplicity of positive solutions for singular fractional differential equations with integral boundary value conditions
He, Ying
ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 14
[22] Existence of positive solutions of a singular initial problem for a nonlinear system of differential equations
Diblík, J
Ruzicková, M
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2004, 34 (03) : 923 - 944
[23] Existence and multiplicity of positive solutions for singular fractional differential equations with integral boundary value conditions
Ying He
Advances in Difference Equations, 2016
[24] Positive solutions of singular and nonsingular Fredholm integral equations
Meehan, M
O'Regan, D
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 240 (02) : 416 - 432
[25] Existence of solutions for a class of nonlinear Volterra singular integral equations
Aghajani, Asadollah
Banas, Jozef
Jalilian, Yaghoub
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1215 - 1227
[26] NONDECREASING SOLUTIONS OF FRACTIONAL QUADRATIC INTEGRAL EQUATIONS INVOLVING ERDELYI-KOBER SINGULAR KERNELS
Xin, Jie
Zhu, Chun
Wang, Jinrong
Chen, Fulai
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2014, 44 (01) : 73 - 88
[27] Global Existence of Positive Solutions for Volterra Integral Equations
王术
万春林
张锟
数学季刊, 1995, (03) : 97 - 101
[28] On solutions of an infinite system of singular integral equations
Rzepka, B.
Sadarangani, K.
MATHEMATICAL AND COMPUTER MODELLING, 2007, 45 (9-10) : 1265 - 1271
[29] Existence of nondecreasing solutions of a quadratic integral equation of Volterra type
Zhu, Tao
Li, Gang
APPLIED MATHEMATICS AND COMPUTATION, 2013, 221 : 214 - 220
[30] ON THE EXISTENCE OF SOLUTIONS FOR AN INFINITE SYSTEM OF INTEGRAL EQUATIONS
Mefteh, Bilel
MISKOLC MATHEMATICAL NOTES, 2023, 24 (03) : 1453 - 1467

← 1 2 3 4 5 →