Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625546 | Applied Mathematics and Computation | 2016 | 19 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Vira Babenko,