Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables
Nonlocal boundary value problems for arbitrary order hyperbolic systems with one spatial variable are considered. A priori estimates for general nonlocal mixed problems for systems with smooth and piecewise smooth coefficients are obtained. The correct solvability of such problems is proved. Example...
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| Format: | Article |
| Language: | deu |
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Ivan Franko National University of Lviv
2020-06-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/ojs/index.php/matstud/article/view/58 |
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| author | V. M. Kyrylych O. Z. Slyusarchuk |
| author_facet | V. M. Kyrylych O. Z. Slyusarchuk |
| author_sort | V. M. Kyrylych |
| collection | DOAJ |
| description | Nonlocal boundary value problems for arbitrary order hyperbolic systems with one spatial variable are considered. A priori estimates for general nonlocal mixed problems for systems with smooth and piecewise smooth coefficients are obtained. The correct solvability of such problems is proved.
Examples of additional conditions necessity are provided. |
| format | Article |
| id | doaj-art-9b4eae845eef490a825d62ba87fe34d5 |
| institution | DOAJ |
| issn | 1027-4634 2411-0620 |
| language | deu |
| publishDate | 2020-06-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-9b4eae845eef490a825d62ba87fe34d52025-08-20T02:41:33ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342411-06202020-06-0153215918010.30970/ms.53.2.159-18058Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variablesV. M. Kyrylych0O. Z. Slyusarchuk1Ivan Franko National University of Lviv, LvivLviv Polytechnic National University, Lviv, UkraineNonlocal boundary value problems for arbitrary order hyperbolic systems with one spatial variable are considered. A priori estimates for general nonlocal mixed problems for systems with smooth and piecewise smooth coefficients are obtained. The correct solvability of such problems is proved. Examples of additional conditions necessity are provided.http://matstud.org.ua/ojs/index.php/matstud/article/view/58nonlocal boundary value problem; hyperbolic system; method of characteristics; piecewise smooth coefficients; volterra-type integral equation; piecewise smooth solution |
| spellingShingle | V. M. Kyrylych O. Z. Slyusarchuk Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables Математичні Студії nonlocal boundary value problem; hyperbolic system; method of characteristics; piecewise smooth coefficients; volterra-type integral equation; piecewise smooth solution |
| title | Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables |
| title_full | Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables |
| title_fullStr | Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables |
| title_full_unstemmed | Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables |
| title_short | Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables |
| title_sort | boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables |
| topic | nonlocal boundary value problem; hyperbolic system; method of characteristics; piecewise smooth coefficients; volterra-type integral equation; piecewise smooth solution |
| url | http://matstud.org.ua/ojs/index.php/matstud/article/view/58 |
| work_keys_str_mv | AT vmkyrylych boundaryvalueproblemswithnonlocalconditionsforhyperbolicsystemsofequationswithtwoindependentvariables AT ozslyusarchuk boundaryvalueproblemswithnonlocalconditionsforhyperbolicsystemsofequationswithtwoindependentvariables |