An existence theorem for an implicit integral equation with discontinuous right-hand side

被引:2
作者
Anello, Giovanni [1 ]
机构
[1] Univ Messina, Dept Math, I-98166 Messina, Italy
关键词
Integral Equation; Existence Theorem; Implicit Integral Equation;
D O I
10.1155/JIA/2006/71396
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish a result concerning the existence of solutions for the following implicit integral equation: g(u(t)) = phi(t, x(0) + integral(t)(0)integral(tau, u(tau))d tau), where phi is not supposed continuous with respect to the second variable. Copyright (C) 2006 Giovanni Anello. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
引用
收藏
页数:8
相关论文
共 10 条
  • [1] Agarwal R.P., 2001, Nonlinear Integral Equations and Inclusions, V141
  • [2] Anello G, 2004, ANN POL MATH, V83, P179
  • [3] Bonanno G., 1996, RENDICONTI ACCADEMIA, V20, P193
  • [4] Castaing C, 1977, LECT NOTES MATH, V580, DOI DOI 10.1007/BFB0087686
  • [5] Cubiotti P., 2001, COMMENT MATH U CAROL, V42, P319
  • [6] Himmelberg CJ., 1975, FUND MATH, V87, P53, DOI DOI 10.4064/FM-87-1-53-72
  • [7] Naselli Ricceri O., 1990, APPL ANAL, V38, P259
  • [8] RICCERI B, 1982, CR ACAD SCI I-MATH, V294, P265
  • [9] Villani A., 1984, REND CIRC MAT PALERM, V33, P331
  • [10] [No title captured]