ON THE SOLVABILITY OF NONLINEAR INTEGRAL EQUATIONS IN LEBESGUE SPACE

被引：0

作者：

El-Abd, E. M.

机构：

来源：

FILOMAT | 2009年 / 23卷 / 03期

关键词：

Monotonic solutions; Lebesgue measure; Compactness; SUPERPOSITION OPERATOR; NON-COMPACTNESS;

D O I：

10.2298/FIL0903203E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove theorems on the existence of integrable and monotonic solutions of nonlinear integral equation in Lebesgue Space. The basic tool used in the proof is the fixed point theorem due to Darbo with respect to the so-called measure of weak noncompactness.

引用

页码：203 / 209

页数：7

共 50 条

[21] Solvability of Functional Integral Equations in the Frechet Space C (Ω)
Benhamouche, Latifa
Djebali, Smail
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) : 4805 - 4817
[22] On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread
Khachatryan, A. Kh.
Khachatryan, Kh. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2019, 306 (01) : 271 - 287
[23] On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread
A. Kh. Khachatryan
Kh. A. Khachatryan
Proceedings of the Steklov Institute of Mathematics, 2019, 306 : 271 - 287
[24] On the solvability of nonlinear singular integral equations with Cauchy kernel on an interval
Amer, S. M.
Nagdy, A. S.
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2007, 50 (04): : 283 - 294
[25] Open mappings and solvability of nonlinear equations in Banach space
Welsh, SC
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1996, 126 : 239 - 246
[26] Solvability of infinite system of nonlinear convolution type integral equations in the tempered sequence space mβ(φ, p)
Mehravaran, Hamid
Kayvanloo, Hojjatollah Amiri
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (01)
[27] 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
[28] Solvability for system of nonlinear singular differential equations with integral boundary conditions
Yaohong Li
Haiyan Zhang
Boundary Value Problems, 2014
[29] On the solvability of a system of nonlinear integral equations with a monotone Hammerstein type operator
Khachatryan, Kh. A.
Petrosyan, H. S.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2022, 28 (02): : 201 - 214
[30] ON THE VARIATIONAL METHOD FOR SOLVABILITY OF NONLINEAR INTEGRAL-EQUATIONS OF HAMMERSTEIN TYPE
ZABREJKO, PP
TERSIAN, SA
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1990, 43 (06): : 9 - 11

← 1 2 3 4 5 →