Geodesic
About existence and estimates of solutions of the implicit differential equation with autoadjustable deviation argument
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 566-574

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Conditions of a solubility and assessment of solutions of an implicit differential equation with autoadjustable (that is depending on required function) argument deviation are received. Results about the covering displays of partially ordered spaces are used.
Keywords: the implicit differential equation with autoadjustable deviation argument, Cauchy’s task, the covering display is ordered, differential inequality. 
@article{VTAMU_2018_23_123_a27,
     author = {I. D. Serova and A. A. Repin},
     title = {About existence and estimates of solutions of the implicit differential equation with autoadjustable deviation argument},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {566--574},
     publisher = {mathdoc},
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     number = {123},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a27/}
}
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I. D. Serova; A. A. Repin. About existence and estimates of solutions of the implicit differential equation with autoadjustable deviation argument. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 566-574. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a27/