Representation and investigation of solutions of a nonlocal boundary-value problem for a system of partial differential equations |
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| Authors: | V S H’kiv B I Ptashnyk |
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| Institution: | 1. Lvov Scientific Research Institute of Radioengineering, Lvov
2. Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lvov
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| Abstract: | We study the boundary-value problem for a system of partial differential equations with constant coefficients with conditions nonlocal in time. By using a metric approach, we prove the well-posedness of the problem in the scale of Sobolev spaces of functions periodic in space variables. By using matrix calculus, we construct an explicit representation of a solution. |
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