Coexistence of generalized periodic solutions of a boundary value problem for a symmetric hyperbolic system of partial differential equations

Tyshchuk Tetyana Volodymyrivna; Fedorenko Yulia Volodymyrivna

Tyshchuk Tetyana Volodymyrivna ¹ , Fedorenko Yulia Volodymyrivna ¹

¹ Department of Integral and Differential Equations, Taras Shevchenko National University of Kyiv, Kyiv, 01001, Ukraine

Keywords: generalized periodic solutions, a boundary value problem, ssymmetric hyperbolic system of partial differential equations

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Abstract

The paper deals with a generalized periodic solutions of boundary value problem for a system of first-order linear partial differential equations with nonlinear boundary conditions. Using a classification of such solutions as well as partial order on a set of their types, the problem of coexistence of generalized periodic solutions to the boundary problem is studied.

References

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ACS Style: Tyshchuk, T.V.; Fedorenko, Y.V. Coexistence of generalized periodic solutions of a boundary value problem for a symmetric hyperbolic system of partial differential equations. Bukovinian Mathematical Journal. 2016, 3
AMA Style: Tyshchuk TV, Fedorenko YV. Coexistence of generalized periodic solutions of a boundary value problem for a symmetric hyperbolic system of partial differential equations. Bukovinian Mathematical Journal. 2016; 3(1).
Chicago/Turabian Style: Tetyana Volodymyrivna Tyshchuk, Yulia Volodymyrivna Fedorenko. 2016. "Coexistence of generalized periodic solutions of a boundary value problem for a symmetric hyperbolic system of partial differential equations". Bukovinian Mathematical Journal. 3 no. 1.

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