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Tambov University Reports. Series: Natural and Technical Sciences, 2017, Volume 22, Issue 6, Pages 1298–1303
DOI: https://doi.org/10.20310/1810-0198-2017-22-6-1298-1303 (Mi vtamu132) 		 
MATHEMATICS

On minima of functionals and implicit differential equations

S. E. Zhukovskiy

RUDN University
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DOI: https://doi.org/10.20310/1810-0198-2017-22-6-1298-1303
Abstract: The stability of Caristi-like conditions under small Lipschitz perturbations is proved for functionals on metric spaces. The result obtained is used for the investigation of implicit differential equation. Sufficient conditions for solvability of Cauchy problem for implicit ordinary differential equations are obtained.
Keywords: Caristi-like conditions, minimum, implicit ODE.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-2085.2017.1
Russian Science Foundation 17-11-01168
The results of Section 1 were obtained with the support of the grant of the President of Russian Federation (project № MK-2085.2017.1). The results of Section 2 were obtained with the support of the grant of the Russian Science Foundation (project № 17-11-01168).
Received: 13.08.2017
Document Type: Article
UDC: 517.922
Language: Russian
Citation: S. E. Zhukovskiy, “On minima of functionals and implicit differential equations”, Tambov University Reports. Series: Natural and Technical Sciences, 22:6 (2017), 1298–1303
Citation in format AMSBIB
\Bibitem{Zhu17}
\by S.~E.~Zhukovskiy
\paper On minima of functionals and implicit differential equations
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2017
\vol 22
\issue 6
\pages 1298--1303
\mathnet{http://mi.mathnet.ru/vtamu132}
\crossref{https://doi.org/10.20310/1810-0198-2017-22-6-1298-1303}
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