Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/46766
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
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