Article ID Journal Published Year Pages File Type
4625546 Applied Mathematics and Computation 2016 19 Pages PDF
Abstract

We consider Volterra and Fredholm integral equations for functions with values in L-spaces. This includes corresponding problems for set-valued functions, fuzzy-valued functions and many others. We prove theorems of existence and uniqueness of the solution for such equations and suggest some algorithms for finding approximate solutions. We get initial results in the approximation of functions with values in L-spaces by piecewise linear functions and we also get the error estimates of trapezoidal quadrature formulas. We apply these results for analysis of convergence of suggested algorithms.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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