Email this article Introduction to Sublinear Analysis
- Authors: Orlov I.V.1
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Affiliations:
- V. I. Vernadskii Tavria National University
- Issue: Vol 218, No 4 (2016)
- Pages: 430-502
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238247
- DOI: https://doi.org/10.1007/s10958-016-3039-z
- ID: 238247
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Abstract
Basing on the notion of compact subdifferentials, we develop a subdifferential calculus of the first and the second orders beyond the Taylor expansion and extremum theory. We introduce and investigate a comprehensive class of subsmooth maps such that the constructed theory is applicable to them. We develop a technique to investigate one-dimensional extremal variational problems with subsmooth Lagrangians (including sufficient conditions). A number of examples are considered.
About the authors
I. V. Orlov
V. I. Vernadskii Tavria National University
Author for correspondence.
Email: igor_v_orlov@mail.ru
Russian Federation, Simferopol’
