Conditions for the solvability of the Cauchy problem for linear first-order functional differential equations
Conditions for the unique solvability of the Cauchy problem for a family of scalar functional differential equations are obtained. These conditions are sufficient for the solvability of the Cauchy problem for every equation from the family and are necessary for the solvability of the Cauchy problem...
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| Format: | Article |
| Language: | English |
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University of Szeged
2013-11-01
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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=2572 |
| _version_ | 1827951320733057024 |
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| author | Eugene Bravyi |
| author_facet | Eugene Bravyi |
| author_sort | Eugene Bravyi |
| collection | DOAJ |
| description | Conditions for the unique solvability of the Cauchy problem for a family of scalar functional differential equations are obtained. These conditions are sufficient for the solvability of the Cauchy problem for every equation from the family and are necessary for the solvability of the Cauchy problem for all equations from the family. In contrast to many known articles, we consider equations with functional operators acting into the space of essentially bounded functions. |
| first_indexed | 2024-04-09T13:39:56Z |
| format | Article |
| id | doaj.art-e160bac32c884f06a0619ae2c84a8def |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:56Z |
| publishDate | 2013-11-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-e160bac32c884f06a0619ae2c84a8def2023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752013-11-012013661810.14232/ejqtde.2013.1.662572Conditions for the solvability of the Cauchy problem for linear first-order functional differential equationsEugene Bravyi0State National Research Polytechnic University of PermConditions for the unique solvability of the Cauchy problem for a family of scalar functional differential equations are obtained. These conditions are sufficient for the solvability of the Cauchy problem for every equation from the family and are necessary for the solvability of the Cauchy problem for all equations from the family. In contrast to many known articles, we consider equations with functional operators acting into the space of essentially bounded functions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2572linear functional differential equationscauchy problemconditions for the solvability |
| spellingShingle | Eugene Bravyi Conditions for the solvability of the Cauchy problem for linear first-order functional differential equations Electronic Journal of Qualitative Theory of Differential Equations linear functional differential equations cauchy problem conditions for the solvability |
| title | Conditions for the solvability of the Cauchy problem for linear first-order functional differential equations |
| title_full | Conditions for the solvability of the Cauchy problem for linear first-order functional differential equations |
| title_fullStr | Conditions for the solvability of the Cauchy problem for linear first-order functional differential equations |
| title_full_unstemmed | Conditions for the solvability of the Cauchy problem for linear first-order functional differential equations |
| title_short | Conditions for the solvability of the Cauchy problem for linear first-order functional differential equations |
| title_sort | conditions for the solvability of the cauchy problem for linear first order functional differential equations |
| topic | linear functional differential equations cauchy problem conditions for the solvability |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2572 |
| work_keys_str_mv | AT eugenebravyi conditionsforthesolvabilityofthecauchyproblemforlinearfirstorderfunctionaldifferentialequations |