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Integral operators of Urysohn-Stieltjes type |
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| Authors: | J. Banaś D. O'Regan |
| Affiliation: | (1) Department of Mathematics Rzeszów University of Technology, 35-959 Rzeszów, W. Pola 2 Poland;(2) Department of Mathematics National University of Ireland, Galway Ireland |
| Abstract: | Summary We investigate some properties of nonlinear integral operators of Urysohn--Stieltjes type with kernels depending on two variables. Results concerning the continuity and compactness of these operators are obtained. The solvability of nonlinear Urysohn--Stieltjes integral equations is also studied. |
| Keywords: | Bounded variation nondecreasing function Stieltjes integral compact operator integral equation of Urysohn--Stieltjes type |
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