Solvability of infinite systems of singular integral equations in Frechet space of continuous functions

被引：22

作者：

Olszowy, Leszek ^{[1
]}

机构：

[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 08期

关键词：

Infinite systems of equations; Frechet space; Measures of noncompactness; Singular integral equations; EXISTENCE;

D O I：

10.1016/j.camwa.2010.01.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to show how some measures of noncompactness in the Frechet space of continuous functions defined on an unbounded interval can be applied to an infinite system of singular integral equations. The results obtained generalize and improve several ones. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2794 / 2801

页数：8

共 50 条

[1] Solvability of Functional Integral Equations in the Frechet Space C (Ω)
Benhamouche, Latifa
Djebali, Smail
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) : 4805 - 4817
[2] AN EXTENSION OF TYCHONOFF FIXED POINT THEOREM WITH APPLICATION TO THE SOLVABILITY OF THE INFINITE SYSTEMS OF INTEGRAL EQUATIONS IN THE FRECHET SPACES
Allahyari, Reza
Arab, Reza
Haghighi, Ali Shole
MISKOLC MATHEMATICAL NOTES, 2020, 21 (01) : 31 - 49
[3] INFINITE SYSTEMS OF INTEGRAL EQUATIONS IN FRECHET SPACES USING THE NOTION OF L-FUNCTIONS
Moghaddam, Mohsen Hosseinzadeh
Allahyari, Reza
Omidvar, Mohsen Erfanian
Hassani, Mahmoud
MISKOLC MATHEMATICAL NOTES, 2018, 19 (01) : 365 - 383
[4] On Solvability Of Infinite System Of Integral Equations of Volterra Together With Hammerstein Type in the Frechet Spaces
Banaei, Shahram
FILOMAT, 2021, 35 (06) : 2055 - 2069
[5] Existence of solutions of infinite systems of integral equations in the Frechet spaces
Allahyari, Reza
Arab, Reza
Haghighi, Ali Shole
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2016, 7 (02): : 205 - 216
[6] SOLVABILITY OF SINGULAR INTEGRAL-EQUATIONS WITH INVOLUTION AND THE STRUCTURE OF THE SPACE OF SOLUTIONS OF THESE EQUATIONS
KARELIN, AA
DIFFERENTIAL EQUATIONS, 1990, 26 (05) : 638 - 648
[7] On partial integral equations in the space of continuous functions
Zabreiko, PP
Kalitvin, AS
Frolova, EV
DIFFERENTIAL EQUATIONS, 2002, 38 (04) : 567 - 576
[8] On a class of integral equations in the space of continuous functions
Kalitvin, A. S.
DIFFERENTIAL EQUATIONS, 2006, 42 (09) : 1262 - 1268
[9] On a class of integral equations in the space of continuous functions
A. S. Kalitvin
Differential Equations, 2006, 42 : 1262 - 1268
[10] On Partial Integral Equations in the Space of Continuous Functions
P. P. Zabreiko
A. S. Kalitvin
E. V. Frolova
Differential Equations, 2002, 38 : 567 - 576

← 1 2 3 4 5 →