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

[21] Solvability of some singular integral equations on the circle with the shift
A. G. Kamalyan
A. V. Sargsyan
Journal of Contemporary Mathematical Analysis, 2011, 46 : 142 - 156
[22] On the Solvability of Singular Integral Equations with Reflection on the Unit Circle
Castro, L. P.
Rojas, E. M.
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 70 (01) : 63 - 99
[23] ON SOLVABILITY OF SINGULAR INTEGRAL-DIFFERENTIAL EQUATIONS WITH CONVOLUTION
Li, Pingrun
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (03): : 1071 - 1082
[24] ON AN INFINITE SYSTEM OF NON-LINEAR SINGULAR INTEGRAL EQUATIONS IN A EUCLIDEAN SPACE
ZAKOWSKI, W
COLLOQUIUM MATHEMATICUM, 1967, 18 : 151 - &
[25] Solvability of Some Singular Integral Equations on the Circle with the Shift
Kamalyan, A. G.
Sargsyan, A. V.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2011, 46 (03): : 142 - 156
[26] On the Solvability of Singular Integral Equations with Reflection on the Unit Circle
L. P. Castro
E. M. Rojas
Integral Equations and Operator Theory, 2011, 70 : 63 - 99
[27] Solvability of a System of Integral Equations of Volterra Type in the Frechet Space Llocp(R+) via Measure of Noncompactness
Banaei, Shahram
FILOMAT, 2018, 32 (15) : 5255 - 5263
[28] INFINITE SYSTEM OF SINGULAR INTEGRAL-EQUATIONS
BORZYMOWSKI, A
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1975, 23 (01): : 41 - 44
[29] On solutions of an infinite system of singular integral equations
Rzepka, B.
Sadarangani, K.
MATHEMATICAL AND COMPUTER MODELLING, 2007, 45 (9-10) : 1265 - 1271
[30] ON THE SOLVABILITY OF NONLINEAR INTEGRAL EQUATIONS IN LEBESGUE SPACE
El-Abd, E. M.
FILOMAT, 2009, 23 (03) : 203 - 209

← 1 2 3 4 5 →