Boundary-value problems with integral conditions for a system of Lame equations in the space of almost periodic functions
We study a problem with integral boundary conditions in the time coordinate for a system of Lame equations of dynamic elasticity theory of an arbitrary dimension. We find necessary and sufficient conditions for the existence and uniqueness of solution in the class of almost periodic functions...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2016-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/304/abstr.html |
| _version_ | 1818564917370814464 |
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| author | Volodymyr S. Il'kiv Zinovii M. Nytrebych Petro Ya. Pukach |
| author_facet | Volodymyr S. Il'kiv Zinovii M. Nytrebych Petro Ya. Pukach |
| author_sort | Volodymyr S. Il'kiv |
| collection | DOAJ |
| description | We study a problem with integral boundary conditions in the time
coordinate for a system of Lame equations of dynamic elasticity theory
of an arbitrary dimension. We find necessary and sufficient conditions
for the existence and uniqueness of solution in the class of almost
periodic functions in the spatial variables.
To solve the problem of small denominators arising while constructing
solutions, we use the metric approach. |
| first_indexed | 2024-12-14T01:34:41Z |
| format | Article |
| id | doaj.art-71dfb320414f464cb0b4e3fc99b99770 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-14T01:34:41Z |
| publishDate | 2016-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-71dfb320414f464cb0b4e3fc99b997702022-12-21T23:21:55ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-11-012016304,112Boundary-value problems with integral conditions for a system of Lame equations in the space of almost periodic functionsVolodymyr S. Il'kiv0Zinovii M. Nytrebych1Petro Ya. Pukach2 Lviv Polytechnic National Univ., Ukraine Lviv Polytechnic National Univ., Ukraine Lviv Polytechnic National Univ., Ukraine We study a problem with integral boundary conditions in the time coordinate for a system of Lame equations of dynamic elasticity theory of an arbitrary dimension. We find necessary and sufficient conditions for the existence and uniqueness of solution in the class of almost periodic functions in the spatial variables. To solve the problem of small denominators arising while constructing solutions, we use the metric approach.http://ejde.math.txstate.edu/Volumes/2016/304/abstr.htmlLame equationintegral boundary conditionssmall denominators |
| spellingShingle | Volodymyr S. Il'kiv Zinovii M. Nytrebych Petro Ya. Pukach Boundary-value problems with integral conditions for a system of Lame equations in the space of almost periodic functions Electronic Journal of Differential Equations Lame equation integral boundary conditions small denominators |
| title | Boundary-value problems with integral conditions for a system of Lame equations in the space of almost periodic functions |
| title_full | Boundary-value problems with integral conditions for a system of Lame equations in the space of almost periodic functions |
| title_fullStr | Boundary-value problems with integral conditions for a system of Lame equations in the space of almost periodic functions |
| title_full_unstemmed | Boundary-value problems with integral conditions for a system of Lame equations in the space of almost periodic functions |
| title_short | Boundary-value problems with integral conditions for a system of Lame equations in the space of almost periodic functions |
| title_sort | boundary value problems with integral conditions for a system of lame equations in the space of almost periodic functions |
| topic | Lame equation integral boundary conditions small denominators |
| url | http://ejde.math.txstate.edu/Volumes/2016/304/abstr.html |
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