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This article is cited in 3 scientific papers (total in 3 papers)
Convexity properties of images under nonlinear integral operators
M. Yu. Kokurin Mari State University, Ioshkar-Ola
Abstract:
Conditions are obtained for the image of a given set under a general completely continuous nonlinear integral operator to have convex closure. These results are used to establish the uniqueness of quasi-solutions of nonlinear integral equations of the first kind and to prove the solvability of equations of the first kind on a dense subset of the right-hand sides.
Bibliography: 11 titles.
Keywords:
nonlinear integral operator, image of a set, closure, convexity, equation of the first kind.
Received: 19.05.2014 and 07.09.2014
Citation:
M. Yu. Kokurin, “Convexity properties of images under nonlinear integral operators”, Mat. Sb., 205:12 (2014), 99–110; Sb. Math., 205:12 (2014), 1775–1786
Linking options:
https://www.mathnet.ru/eng/sm8386https://doi.org/10.1070/SM2014v205n12ABEH004439 https://www.mathnet.ru/eng/sm/v205/i12/p99
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Abstract page: | 461 | Russian version PDF: | 170 | English version PDF: | 14 | References: | 54 | First page: | 31 |
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