Fundamental Solution of the Simplest Implicit Linear Differential Equation in a Vector Space

Verfasser / Beitragende:
[S. Gefter, T. Stulova]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/2(2015-05-01), 166-175
Format:
Artikel (online)
ID: 605522928
LEADER caa a22 4500
001 605522928
003 CHVBK
005 20210128100747.0
007 cr unu---uuuuu
008 210128e20150501xx s 000 0 eng
024 7 0 |a 10.1007/s10958-015-2363-z  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2363-z 
245 0 0 |a Fundamental Solution of the Simplest Implicit Linear Differential Equation in a Vector Space  |h [Elektronische Daten]  |c [S. Gefter, T. Stulova] 
520 3 |a We study the simplest implicit linear inhomogeneous differential equation in an arbitrary vector space. We find the fundamental solution in the space of formal generalized functions and obtain a representation of a unique solution as the convolution of the fundamental solution and a given generalized function. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Gefter  |D S.  |u Karazin Kharkiv National University, 4, pl. Svobody, 61000, Kharkiv, Ukraine  |4 aut 
700 1 |a Stulova  |D T.  |u Karazin Kharkiv National University, 4, pl. Svobody, 61000, Kharkiv, Ukraine  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/2(2015-05-01), 166-175  |x 1072-3374  |q 207:2<166  |1 2015  |2 207  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2363-z  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2363-z  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Gefter  |D S.  |u Karazin Kharkiv National University, 4, pl. Svobody, 61000, Kharkiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Stulova  |D T.  |u Karazin Kharkiv National University, 4, pl. Svobody, 61000, Kharkiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/2(2015-05-01), 166-175  |x 1072-3374  |q 207:2<166  |1 2015  |2 207  |o 10958