EXISTENCE OF SOLUTIONS FOR MIXED VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

被引:0
作者
Aghajani, Asadollah [1 ]
Jalilian, Yaghoub [2 ]
Sadarangani, Kishin [3 ]
机构
[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran
[2] Razi Univ, Dept Math, Kermanshah 67149, Iran
[3] Univ Las Palmas Gran Canaria, Dept Math, Las Palmas Gran Canaria 35017, Spain
关键词
Functional integral equation; fixed-point; Nemytski operator; measure of weak noncompactness; Caratheodory conditions; WEAK NONCOMPACTNESS; ATTRACTIVITY; THEOREM;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space L-1[0, infinity). Then by using the concept of measure of weak noncompactness, we prove an existence result for a functional integral equation which includes several classes of nonlinear integral equations. Our results extend some previous works.
引用
收藏
页数:12
相关论文
共 27 条
[11]   On existence of integrable solutions of a functional integral equation under Caratheodory conditions [J].
Banas, Jozef ;
Chlebowicz, Agnieszka .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) :3172-3179
[12]  
Baras J., 2009, B LOND MATH SOC, V41, P1073
[13]  
Bihari I., 1967, STUD SCI MATH HUNG, V2, P1
[14]  
Burton T.A., 1983, Volterra Integral and Differential Equations
[15]  
CASTAING C, 1970, CR ACAD SCI A MATH, V271, P396
[16]  
Corduneanu C., 1968, REV ROUMAINE MATH PU, V13, P1279
[17]  
De Blasi FS., 1977, B MATH SOC SCI MATH, V21, P259
[18]  
Deimling K., 1979, LECT NOTES MATH
[19]  
Deimling K., 1977, Ordinary Differential Equations in Banach Spaces, DOI [DOI 10.1007/BFB0091636, 10.1007/BFb0091636]
[20]  
Dieudonne J., 1951, J. Analyse Math., V1, P81, DOI DOI 10.1007/BF02790084