ON A NONLINEAR VOLTERRA-HAMMERSTEIN INTEGRAL EQUATION IN TWO VARIABLES

被引：0
|
作者：
Le Thi Phuong Ngoc [1 ]
Nguyen Thanh Long [2 ]
机构：
[1] Nhatrang Educational College,01 Nguyen Chanh Str.,Nhatrang City,Vietnam
[2] Department of Mathematics and Computer Science,University of Natural Science,Vietnam National University Ho Chi Minh City,227 Nguyen Van Cu Str.,Dist. 5,Ho Chi Minh City,Vietnam
来源：
Acta Mathematica Scientia | 2013年 / 33卷 / 02期
关键词：
Volterra-Hammerstein integral equation in two variables; the fixed point theorem of Krasnosel’skii type; contraction mapping; completely continuous; asymptotically stable solution;
D O I：
暂无
中图分类号：
O175.5 [积分方程];
学科分类号：
摘要：
Using a fixed point theorem of Krasnosel’skii type, this article proves the existence of asymptotically stable solutions for a Volterra-Hammerstein integral equation in two variables.
引用
收藏
页码：484 / 494
页数：11
相关论文
共 50 条
  • [41] On a Class of Nonlinear Integral Equations of the Hammerstein–Volterra Type on a Semiaxis
    Kh. A. Khachatryan
    H. S. Petrosyan
    Russian Mathematics, 2023, 67 : 64 - 73
  • [42] NONLINEAR VOLTERRA INTEGRAL-EQUATION
    LONDEN, SO
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1973, 14 (01) : 106 - 120
  • [43] GENERALIZED NONLINEAR INTEGRAL EQUATION OF HAMMERSTEIN TYPE
    Bulatsyk, O. O.
    Topolyuk, Y. P.
    Voitovich, N. N.
    DIPED-2009: 2009 INTERNATIONAL SEMINAR WORKSHOP ON DIRECT AND INVERSE PROBLEMS OF ELECTROMAGNETIC AND ACOUSTIC WAVE THEORY, PROCEEDINGS, 2009, : 181 - 185
  • [44] NONLINEAR VOLTERRA INTEGRAL-EQUATION
    WONG, R
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (07): : A757 - A757
  • [45] EXISTENCE OF SOLUTIONS OF A NONLINEAR HAMMERSTEIN INTEGRAL EQUATION
    Jeribi, Aref
    Krichen, Bilel
    Mefteh, Bilel
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (10) : 1328 - 1339
  • [46] ON NONLINEAR VOLTERRA INTEGRAL EQUATIONS IN SEVERAL VARIABLES
    WALTER, W
    JOURNAL OF MATHEMATICS AND MECHANICS, 1967, 16 (09): : 967 - &
  • [47] Generalized Nonlinear Volterra-Fredholm Type Integral Inequality with Two Variables
    Lu, Yusong
    Wang, Wu-Sheng
    Zhou, Xiaoliang
    Huang, Yong
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [48] On a Class of Nonlinear Integral Equations of the Hammerstein-Volterra Type on a Semiaxis
    Khachatryan, Kh. A.
    Petrosyan, H. S.
    RUSSIAN MATHEMATICS, 2023, 67 (01) : 64 - 73
  • [49] EXISTENCE AND UNIQUENESS THEOREM FOR A HAMMERSTEIN NONLINEAR INTEGRAL EQUATION
    Khachatryan, A. Kh.
    Khachatryan, Kh. A.
    OPUSCULA MATHEMATICA, 2011, 31 (03) : 393 - 398
  • [50] A nonlinear integral equation of Hammerstein type with a noncompact operator
    Khachatryan, A. Kh.
    Khachatryan, Kh. A.
    SBORNIK MATHEMATICS, 2010, 201 (3-4) : 595 - 606
12345