Existence and uniqueness of solution to a parabolic-hyperbolic equation with multiplicative control and nonlocally boundary conditions

• Datum: 2024
• Hauptverfasser: Kapustyan, V., Pyshnograiev, I., Капустян, Володимир, Пишнограєв, Іван
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2024
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6829
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We consider a parabolic-hyperbolic equation with multiplicative control and nonlocal boundary conditions. By using the Riess biorthogonal basis, the problem is reduced to a sequence of one-dimensional problems with alternative representations of their solutions. C...