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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 5, Pages 1163–1178 (Mi smj1029)  
On counting the number of eigenvalues in the right half-plane for spectral problems connected with hyperbolic systems. II. Differential equations

V. V. Skazka

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: This article is an immediate continuation of [1]. Solution of the Lyapunov equation leads to a boundary value problem for the first-order hyperbolic equations in two variables with data on the boundary of the unit square. In general, the problems of this kind are not normally solvable. We prove that the boundary value problems in question possess the Fredholm property under some conditions.
Keywords: systems of hyperbolic equations, boundary value problems, solvability.
Received: 08.10.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 5, Pages 935–947
DOI: https://doi.org/10.1007/s11202-005-0090-2
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: V. V. Skazka, “On counting the number of eigenvalues in the right half-plane for spectral problems connected with hyperbolic systems. II. Differential equations”, Sibirsk. Mat. Zh., 46:5 (2005), 1163–1178; Siberian Math. J., 46:5 (2005), 935–947
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\pages 935--947
\crossref{https://doi.org/10.1007/s11202-005-0090-2}
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