Convexity properties of images under nonlinear integral operators
Journal Article
·
· Sbornik. Mathematics
- Mari State Technical University, Ioshkar-Ola (Russian Federation)
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.
- OSTI ID:
- 22364158
- Journal Information:
- Sbornik. Mathematics, Vol. 205, Issue 12; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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