THE CAUCHY PROBLEM FOR A REGULAR CONTINUOUS DIFFERENTIAL EQUATION OF SECOND ORDER WITH REGULARIZED DERIVATIVES OF SEGMENT ORDER
In this work we build a fundamental solution to a regular continuous differential equation of second order with regularized derivatives of segment order and find an explicit solution to Cauchy problem in terms of fundamental solution.
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| Format: | Article |
| Language: | English |
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KamGU by Vitus Bering
2016-11-01
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| Series: | Vestnik KRAUNC: Fiziko-Matematičeskie Nauki |
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| Online Access: | http://krasec.ru/efendiev-4116/ |
| _version_ | 1818058809904463872 |
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| author | Efendiev B. I. |
| author_facet | Efendiev B. I. |
| author_sort | Efendiev B. I. |
| collection | DOAJ |
| description | In this work we build a fundamental solution to a regular continuous differential equation of second order with regularized derivatives of segment order and find an explicit solution to Cauchy problem in terms of fundamental solution. |
| first_indexed | 2024-12-10T13:06:32Z |
| format | Article |
| id | doaj.art-c382eea0ef434bf5ac2cd7638efa409f |
| institution | Directory Open Access Journal |
| issn | 2079-6641 2079-665X |
| language | English |
| last_indexed | 2024-12-10T13:06:32Z |
| publishDate | 2016-11-01 |
| publisher | KamGU by Vitus Bering |
| record_format | Article |
| series | Vestnik KRAUNC: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-c382eea0ef434bf5ac2cd7638efa409f2022-12-22T01:47:50ZengKamGU by Vitus BeringVestnik KRAUNC: Fiziko-Matematičeskie Nauki2079-66412079-665X2016-11-01164-1727910.18454/2079-6641-2016-16-4-1-72-79THE CAUCHY PROBLEM FOR A REGULAR CONTINUOUS DIFFERENTIAL EQUATION OF SECOND ORDER WITH REGULARIZED DERIVATIVES OF SEGMENT ORDEREfendiev B. I.0Institute of Applied Mathematics and Automation, 360000, Nalchik, Shortanova st., 89A, RussiaIn this work we build a fundamental solution to a regular continuous differential equation of second order with regularized derivatives of segment order and find an explicit solution to Cauchy problem in terms of fundamental solution.http://krasec.ru/efendiev-4116/Cauchy problemthe continuous differential equation regularized derivative segment of the orderthe fundamental solution |
| spellingShingle | Efendiev B. I. THE CAUCHY PROBLEM FOR A REGULAR CONTINUOUS DIFFERENTIAL EQUATION OF SECOND ORDER WITH REGULARIZED DERIVATIVES OF SEGMENT ORDER Vestnik KRAUNC: Fiziko-Matematičeskie Nauki Cauchy problem the continuous differential equation regularized derivative segment of the order the fundamental solution |
| title | THE CAUCHY PROBLEM FOR A REGULAR CONTINUOUS DIFFERENTIAL EQUATION OF SECOND ORDER WITH REGULARIZED DERIVATIVES OF SEGMENT ORDER |
| title_full | THE CAUCHY PROBLEM FOR A REGULAR CONTINUOUS DIFFERENTIAL EQUATION OF SECOND ORDER WITH REGULARIZED DERIVATIVES OF SEGMENT ORDER |
| title_fullStr | THE CAUCHY PROBLEM FOR A REGULAR CONTINUOUS DIFFERENTIAL EQUATION OF SECOND ORDER WITH REGULARIZED DERIVATIVES OF SEGMENT ORDER |
| title_full_unstemmed | THE CAUCHY PROBLEM FOR A REGULAR CONTINUOUS DIFFERENTIAL EQUATION OF SECOND ORDER WITH REGULARIZED DERIVATIVES OF SEGMENT ORDER |
| title_short | THE CAUCHY PROBLEM FOR A REGULAR CONTINUOUS DIFFERENTIAL EQUATION OF SECOND ORDER WITH REGULARIZED DERIVATIVES OF SEGMENT ORDER |
| title_sort | cauchy problem for a regular continuous differential equation of second order with regularized derivatives of segment order |
| topic | Cauchy problem the continuous differential equation regularized derivative segment of the order the fundamental solution |
| url | http://krasec.ru/efendiev-4116/ |
| work_keys_str_mv | AT efendievbi thecauchyproblemforaregularcontinuousdifferentialequationofsecondorderwithregularizedderivativesofsegmentorder AT efendievbi cauchyproblemforaregularcontinuousdifferentialequationofsecondorderwithregularizedderivativesofsegmentorder |