Properties of a Solution of an Inhomogeneous Hyperbolic Equation with Random Right-Hand Side

• Datum: 2005
• Hauptverfasser: Dovhai, B. V., Довгай, Б. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3614
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider an inhomogeneous hyperbolic equation with zero initial and boundary conditions and a random centered sample-continuous Gaussian right-hand side. We establish conditions for the existence of a solution of the first boundary-value problem of mathematical physics in the form of a series uni...