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Title: | Solvability of Volterra-Stieltjes operator-integral equations and their applications | Authors: | Banaś, J. Sadarangani, K. |
UNESCO Clasification: | 12 Matemáticas | Keywords: | Darbo condition Functions of bounded variation Integral equation Measure of noncompactness Stieltjes integral |
Issue Date: | 2001 | Journal: | Computers and Mathematics with Applications | Abstract: | We investigate a class of operator-integral equations of Volterra-Stieltjes type and we study the solvability of those equations in the space of continuous functions. Equations in question create a generalization of numerous integral equations considered in nonlinear analysis. The main tool used in our considerations is the technique associated with measures of noncompactness. We show the applicability of our existence result in the study of a few integral equations of Volterra type. | URI: | http://hdl.handle.net/10553/46766 | ISSN: | 0898-1221 | DOI: | 10.1016/S0898-1221(01)00118-3 | Source: | Computers and Mathematics with Applications [ISSN 0898-1221], v. 41 (12), p. 1535-1544 |
Appears in Collections: | Artículos |
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