Problem with Integral Conditions in the Time Variable for a Sobolev-Type System of Equations with Constant Coefficients
| Autor: | A. M. Kuz, B. I. Ptashnyk |
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| Rok vydání: | 2017 |
| Předmět: |
Constant coefficients
General Mathematics 010102 general mathematics Mathematical analysis Cartesian product Space (mathematics) System of linear equations 01 natural sciences 010101 applied mathematics Sobolev space symbols.namesake Time derivative Metric (mathematics) symbols Uniqueness 0101 mathematics Mathematics |
| Zdroj: | Ukrainian Mathematical Journal. 69:621-645 |
| ISSN: | 1573-9376 0041-5995 |
| DOI: | 10.1007/s11253-017-1385-8 |
| Popis: | In a domain obtained as a Cartesian product of an interval [0,T] and the space ℝ p , p ∈ ℕ, for a system of equations (with constant coefficients) unsolved with respect to the highest time derivative, we study the problem with integral conditions in the time variable for a class of functions almost periodic in the space variables. A criterion of uniqueness and sufficient conditions for the existence of solution of this problem in different functional spaces are established. We use the metric approach to solve the problem of small denominators encountered in the construction of the solution. |
| Databáze: | OpenAIRE |
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