Eigenfunctions of the Tricomi problem with an inclined type change line

Eigenfunctions of the Tricomi problem with an inclined type change line

We construct the eigenfunctions of the Tricomi problem for the case in which the type change line of the elliptic-hyperbolic equation is inclined and forms an arbitrary angle α with the x -axis. These eigenfunctions form a basis in the elliptic domain. In addition, we find an integral constraint on...

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Veröffentlicht in:Differential equations 2016-10, Vol.52 (10), p.1323-1330
Hauptverfasser: Moiseev, E. I., Likhomanenko, T. N.
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Differential equations
Eigenfunctions
Integrals
Laplace transforms
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Studies
Theorems
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Zusammenfassung:We construct the eigenfunctions of the Tricomi problem for the case in which the type change line of the elliptic-hyperbolic equation is inclined and forms an arbitrary angle α with the x -axis. These eigenfunctions form a basis in the elliptic domain. In addition, we find an integral constraint on the inclined type change line.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266116100086