Method of comparison for differential equations with the Hukuhara derivative in the space conv(ℝ2)

Verfasser / Beitragende:
[Evgenii Ocheretnyuk, Vitalii Slyn'ko]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 206/1(2015-04-01), 69-83
Format:
Artikel (online)
ID: 605524076
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024 7 0 |a 10.1007/s10958-015-2294-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2294-8 
245 0 0 |a Method of comparison for differential equations with the Hukuhara derivative in the space conv(ℝ2)  |h [Elektronische Daten]  |c [Evgenii Ocheretnyuk, Vitalii Slyn'ko] 
520 3 |a A new approach based on the ideas of the geometry of convex bodies and on the Matrosov-Vasil'ev method of comparison to the analysis of the solutions of differential equations with the Hukuhara derivative is proposed. The estimates of the area of solutions for a class of pseudolinear differential equations with the Hukuhara derivative are obtained. The obtained results are demonstrated by examples. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Hukuhara derivative  |2 nationallicence 
690 7 |a mixed area  |2 nationallicence 
690 7 |a Matrosov-Vasil'ev method of comparison  |2 nationallicence 
700 1 |a Ocheretnyuk  |D Evgenii  |u Cherkassy State Technological University, 460, Shevchenko Blvd., 18006, Cherkassy, Ukraine  |4 aut 
700 1 |a Slyn'ko  |D Vitalii  |u S. P. Timoshenko Institute of Mechanics of the NASU, 3, Nesterov Str., 03057, Kiev, Ukraine  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/1(2015-04-01), 69-83  |x 1072-3374  |q 206:1<69  |1 2015  |2 206  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2294-8  |q text/html  |z Onlinezugriff via DOI 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ocheretnyuk  |D Evgenii  |u Cherkassy State Technological University, 460, Shevchenko Blvd., 18006, Cherkassy, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Slyn'ko  |D Vitalii  |u S. P. Timoshenko Institute of Mechanics of the NASU, 3, Nesterov Str., 03057, Kiev, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/1(2015-04-01), 69-83  |x 1072-3374  |q 206:1<69  |1 2015  |2 206  |o 10958