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http://hdl.handle.net/10553/46755
| Title: | Monotonicity properties of the superposition operator and their applications | Authors: | Banaś, Józef Sadarangani, Kishin |
UNESCO Clasification: | 12 Matemáticas | Keywords: | Degree of decrease Fixed point theorem Measure of noncompactness Quadratic integral equation Superposition operator |
Issue Date: | 2008 | Journal: | Journal of Mathematical Analysis and Applications | Abstract: | We establish some properties of the superposition operator which are associated with monotonicity. Those properties are expressed in terms of the notion of degree of decrease or degree of increase. An application of the obtained results to the study of solvability of a quadratic Volterra integral equation is also derived. | URI: | http://hdl.handle.net/10553/46755 | ISSN: | 0022-247X | DOI: | 10.1016/j.jmaa.2007.10.002 | Source: | Journal of Mathematical Analysis and Applications [ISSN 0022-247X], v. 340 (2), p. 1385-1394 |
| Appears in Collections: | Artículos |
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