Abstract
In the two previous chapters, we have developed a method of investigation of boundary-value problems for hyperbolic systems with one spatial variable which is based on the reduction of the original problem to a difference (differential-difference) equation or to an equation of another type (with one independent variable). This method can be also applied to many-dimensional hyperbolic systems, the investigation of which is of particular importance for applications. Here, we consider the case of two spatial dimensions (Vereikina et al., 1985). The case for which the spatial dimensionality is greater than 2 can be investigated similarly without serious modifications.
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© 1993 Springer Science+Business Media Dordrecht
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Sharkovsky, A.N., Maistrenko, Y.L., Romanenko, E.Y. (1993). Boundary-Value Problem for Systems with Two Spatial Variables. In: Difference Equations and Their Applications. Mathematics and Its Applications, vol 250. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1763-0_13
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DOI: https://doi.org/10.1007/978-94-011-1763-0_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4774-6
Online ISBN: 978-94-011-1763-0
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