Problem for hyperbolic system of equations having constant coefficients with integral conditions with respect to the time variable
| Autor: | B. Yo. Ptashnyk, A. M. Kuz |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Almost periodic function
Constant coefficients Class (set theory) Lebesgue measure lcsh:Mathematics General Mathematics small denominators Mathematical analysis almost periodic function Cartesian product lcsh:QA1-939 Space (mathematics) integral conditions symbols.namesake hyperbolic system Metric (mathematics) symbols lebesgue measure Time variable Mathematics |
| Zdroj: | Karpatsʹkì Matematičnì Publìkacìï, Vol 6, Iss 2, Pp 282-299 (2014) |
| ISSN: | 2313-0210 2075-9827 |
| DOI: | 10.15330/cmp.6.2.282-299 |
| Popis: | In a domain specified in the form of a Cartesian product of a segment $\left[0,T\right]$ and the space ${\mathbb R}^{p}$, we study a problem with integral conditions with respect to the time variable for hyperbolic system with constant coefficients in a class of almost periodic functions in the space variables. A criterion for the unique solvability of this problem and sufficient conditions for the existence of its solution are established. To solve the problem of small denominators arising in the construction of solutions of the posed problem, we use the metric approach. |
| Databáze: | OpenAIRE |
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