Email this article On Implicit Differential Inclusions Generated by Orderly Covering Mappings
- Authors: Zhukovskiy S.E.1
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Affiliations:
- Peoples’ Friendship University of Russia
- Issue: Vol 55, No 1 (2019)
- Pages: 1-7
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154910
- DOI: https://doi.org/10.1134/S0012266119010014
- ID: 154910
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Abstract
We study a differential inclusion unsolved for the derivative of the unknown function and prove a theorem on the solvability of an abstract inclusion generated by a multivalued orderly covering mapping. We use this result to obtain sufficient solvability conditions and estimate the solutions of the Cauchy problem for the implicit differential inclusion.
About the authors
S. E. Zhukovskiy
Peoples’ Friendship University of Russia
Author for correspondence.
Email: s-e-zhuk@yandex.ru
Russian Federation, Moscow, 117198
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