Existence of solutions for some nonlinear Volterra integral equations via Petryshyn's fixed point theorem

被引：38
作者：
Kazemi, Manouchehr [1 ]
Ezzati, Reza [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj, Iran
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2018年 / 9卷 / 01期
关键词：
Nonlinear integral equations; existence of solution; measures of non compactness; Petryshyn's fixed point theorem;
D O I：
10.22075/ijnaa.2017.1394.1352
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence of solutions of some nonlinear Volterra integral equations by using the techniques of measures of non compactness and the Petryshyn's fixed point theorem in Banach space. We also present some examples of the integral equation to confirm the efficiency of our results.
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页码：1 / 12
页数：12
相关论文
共 25 条
[1]   Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations [J].
Agarwal, Ravi P. ;
Hussain, Nawab ;
Taoudi, Mohamed-Aziz .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[2]   Existence of solutions for a class of nonlinear Volterra singular integral equations [J].
Aghajani, Asadollah ;
Banas, Jozef ;
Jalilian, Yaghoub .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1215-1227
[3]  
Appell J, 2004, DEGRUYTER SER NONLIN, V10, P1, DOI 10.1515/9783110199260
[4]   Solutions of some functional-integral equations in Banach algebra [J].
Banas, J ;
Sadarangani, K .
MATHEMATICAL AND COMPUTER MODELLING, 2003, 38 (3-4) :245-250
[5]  
Banas J., 1980, LECT NOTES PURE APPL, V60
[6]   Measures of noncompactness in the study of solutions of nonlinear differential and integral equations [J].
Banas, Jozef .
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (06) :2003-2011
[7]   Some fixed point theorems and application to biological model [J].
Ben Amar, Afif ;
Jeribi, Aref ;
Mnif, Maher .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (1-2) :1-23
[8]   An application of Ekeland's Variational Principle to the spectrum of nonlinear homogeneous gradient operators [J].
Chiappinelli, Raffaele .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (01) :511-520
[9]   On a quadratic fractional Hammerstein-Volterra integral equation with linear modification of the argument [J].
Darwish, Mohamed Abdalla ;
Ntouyas, Sotiris K. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (11) :3510-3517
[10]  
Deepmala, 2013, MATH COMMUN, V18, P97
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