Geodesic
On minima of functionals and implicit differential equations
Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1298-1303

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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
Mots-clés : implicit ODE. 
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     title = {On minima of functionals and implicit differential equations},
     journal = {Vestnik rossijskih universitetov. Matematika},
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     publisher = {mathdoc},
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     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a10/}
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S. E. Zhukovskiy. On minima of functionals and implicit differential equations. Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1298-1303. http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a10/