Convexity properties of images under nonlinear integral operators
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.
- Authors:
-
- Mari State Technical University, Ioshkar-Ola (Russian Federation)
- Publication Date:
- OSTI Identifier:
- 22364158
- Resource Type:
- Journal Article
- Journal Name:
- Sbornik. Mathematics
- Additional Journal Information:
- Journal Volume: 205; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; CALCULATION METHODS; IMAGES; INTEGRAL EQUATIONS; INTEGRALS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS
Citation Formats
Kokurin, M Yu. Convexity properties of images under nonlinear integral operators. United States: N. p., 2014.
Web. doi:10.1070/SM2014V205N12ABEH004439.
Kokurin, M Yu. Convexity properties of images under nonlinear integral operators. United States. https://doi.org/10.1070/SM2014V205N12ABEH004439
Kokurin, M Yu. 2014.
"Convexity properties of images under nonlinear integral operators". United States. https://doi.org/10.1070/SM2014V205N12ABEH004439.
@article{osti_22364158,
title = {Convexity properties of images under nonlinear integral operators},
author = {Kokurin, M Yu},
abstractNote = {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.},
doi = {10.1070/SM2014V205N12ABEH004439},
url = {https://www.osti.gov/biblio/22364158},
journal = {Sbornik. Mathematics},
issn = {1064-5616},
number = 12,
volume = 205,
place = {United States},
year = {Wed Dec 31 00:00:00 EST 2014},
month = {Wed Dec 31 00:00:00 EST 2014}
}
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