Darboux–Protter Spectral Problems for One Class of Multidimensional Hyperbolic Equations

• Datum: 2003
• Hauptverfasser: Aldashev, S. A., Алдашев, С. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2003
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3891
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For a multidimensional hyperbolic equation with a wave operator in the principal part, we show that the Darboux–Protter spectral problem has the countable set of eigenfunctions, and its dual problem is the Volterra problem.