On the solvability of the periodic problem for systems of linear functional differential equations with regular operators
Systems of two linear functional differential equations of the first order with regular operators are considered. General necessary and sufficient conditions for the unique solvability of the periodic problem are obtained. For one system with monotone operators we get effective necessary and suffi...
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University of Szeged
2011-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=867 |
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doaj-44bdddff5e324cb88708fd5eeee7bb032021-07-14T07:21:23ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752011-08-0120115911710.14232/ejqtde.2011.1.59867On the solvability of the periodic problem for systems of linear functional differential equations with regular operatorsEugene Bravyi0State National Research Polytechnic University of PermSystems of two linear functional differential equations of the first order with regular operators are considered. General necessary and sufficient conditions for the unique solvability of the periodic problem are obtained. For one system with monotone operators we get effective necessary and sufficient conditions for the unique solvability of the periodic problem.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=867periodic problemsfunctional differential equationsunique solvability |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Eugene Bravyi |
| spellingShingle |
Eugene Bravyi On the solvability of the periodic problem for systems of linear functional differential equations with regular operators Electronic Journal of Qualitative Theory of Differential Equations periodic problems functional differential equations unique solvability |
| author_facet |
Eugene Bravyi |
| author_sort |
Eugene Bravyi |
| title |
On the solvability of the periodic problem for systems of linear functional differential equations with regular operators |
| title_short |
On the solvability of the periodic problem for systems of linear functional differential equations with regular operators |
| title_full |
On the solvability of the periodic problem for systems of linear functional differential equations with regular operators |
| title_fullStr |
On the solvability of the periodic problem for systems of linear functional differential equations with regular operators |
| title_full_unstemmed |
On the solvability of the periodic problem for systems of linear functional differential equations with regular operators |
| title_sort |
on the solvability of the periodic problem for systems of linear functional differential equations with regular operators |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2011-08-01 |
| description |
Systems of two linear functional differential equations of the first order with regular operators are considered. General necessary and sufficient conditions for the unique solvability of the periodic problem are obtained. For one system with monotone operators we get effective necessary and sufficient conditions for the unique solvability of the periodic problem. |
| topic |
periodic problems functional differential equations unique solvability |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=867 |
| work_keys_str_mv |
AT eugenebravyi onthesolvabilityoftheperiodicproblemforsystemsoflinearfunctionaldifferentialequationswithregularoperators |
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1721303688594587648 |