Dirichlet-Neumann Problem in a Strip for Hyperbolic Equations with Constant Coefficients

Verfasser / Beitragende:
[B. Ptashnyk, S. Repetylo]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/4(2015-03-01), 501-517
Format:
Artikel (online)
ID: 605522057
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024 7 0 |a 10.1007/s10958-015-2263-2  |2 doi 
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245 0 0 |a Dirichlet-Neumann Problem in a Strip for Hyperbolic Equations with Constant Coefficients  |h [Elektronische Daten]  |c [B. Ptashnyk, S. Repetylo] 
520 3 |a We study the conditions of unique solvability of the problem with Dirichlet-Neumann conditions with respect to the time variable in a strip and the conditions of periodicity or almost periodicity with respect to a spatial coordinate for linear hyperbolic equations of higher order with constant coefficients. The solutions of the considered problems in the form of series in systems of orthogonal functions are constructed. To obtain the lower bound for small denominators appearing in the construction of solutions of the problems, we use the metric approach. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Ptashnyk  |D B.  |u Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine  |4 aut 
700 1 |a Repetylo  |D S.  |u National University "L'vivs'ka Politekhnika”, Lviv, Ukraine  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/4(2015-03-01), 501-517  |x 1072-3374  |q 205:4<501  |1 2015  |2 205  |o 10958 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2263-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ptashnyk  |D B.  |u Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Repetylo  |D S.  |u National University "L'vivs'ka Politekhnika”, Lviv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/4(2015-03-01), 501-517  |x 1072-3374  |q 205:4<501  |1 2015  |2 205  |o 10958