On the existence and uniqueness of solutions of fuzzy Volterra-Fredholm integral equations
Fuzzy integral equations were introduced by \textit{H. Y. Chen} [J. Math. Anal. Appl. 80, 19-30 (1981; Zbl 0506.45014)] as the method of solution of fuzzy differential equations [cf. also \textit{D. Dubois} and \textit{H. Prade}, Fuzzy Sets Syst. 8, 105-116 (1982; Zbl 0493.28003); \textit{R. Goetschel jun.} and \textit{W. Voxman}, ibid. 18, 31-43 (1986; Zbl 0626.26014); \textit{O. Kaleva}, ibid. 24, 301-317 (1987; Zbl 0646.34019)]. This paper contains the existence and uniqueness theorem for the fuzzy version of Volterra-Fredholm integral equation in \(\mathbb{R}^n\) [cf. \textit{P. V. Subrahmanyam} and \textit{S. K. Sudarsanam}, ibid. 81, No. 2, 237-240 (1996; Zbl 0884.45002); \textit{M. Friedman, M. Ming} and \textit{A. Kandel}, Fundam. Inform. 37, No. 1-2, 89-99 (1999; Zbl 0934.45011)]. A verification of its assumptions is difficult (two pages of assumptions without examples).
scientific article; zbMATH DE number 1545761