Volterra second-order integro-differential equations unresolved for the higher derivative. The case of semibounded operator coefficients

Verfasser / Beitragende:
[Ekaterina Syomkina]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/1(2015-05-01), 98-106
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2357-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2357-x 
100 1 |a Syomkina  |D Ekaterina  |u Faculty of Mathematics and Informatics, V. I. Vernadskii Tavdida National University, 4, Acad. Vernadskii Ave., 95007, Simferopol, Russia  |4 aut 
245 1 0 |a Volterra second-order integro-differential equations unresolved for the higher derivative. The case of semibounded operator coefficients  |h [Elektronische Daten]  |c [Ekaterina Syomkina] 
520 3 |a The theorems of existence and uniqueness of strong solutions to Volterra second-order integrodifferential equations in a Hilbert space are proved in the case where the energy pumping to a system occurs (the energy dissipation operator is bounded from below), and the system can be unstable (the potential energy operator is bounded from below as well). 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Volterra integro-differential equation  |2 nationallicence 
690 7 |a self-adjoint operator  |2 nationallicence 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/1(2015-05-01), 98-106  |x 1072-3374  |q 207:1<98  |1 2015  |2 207  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2357-x  |q text/html  |z Onlinezugriff via DOI 
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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/s10958-015-2357-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Syomkina  |D Ekaterina  |u Faculty of Mathematics and Informatics, V. I. Vernadskii Tavdida National University, 4, Acad. Vernadskii Ave., 95007, Simferopol, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/1(2015-05-01), 98-106  |x 1072-3374  |q 207:1<98  |1 2015  |2 207  |o 10958