Open AccessClassical solution of the mixed problem for a one-dimensional wave equation with second-order derivatives at boundary conditions
Author(s) -
V. I. Korzyuk,
S. N. Naumavets,
V. A. Sevastyuk
Publication year - 2020
Publication title -
vescì nacyânalʹnaj akadèmìì navuk belarusì. seryâ fìzìka-matèmatyčnyh navuk
Language(s) - English
Resource type - Journals
eISSN - 2524-2415
pISSN - 1561-2430
DOI - 10.29235/1561-24302019-55-4-406-412
Subject(s) - uniqueness , compatibility (geochemistry) , boundary value problem , mathematics , mathematical analysis , wave equation , free boundary problem , mixed boundary condition , order (exchange) , engineering , finance , economics , chemical engineering
This paper considers the mixed problem for a one-dimensional wave equation with second-order derivatives at boundary conditions. Using the method of characteristics, a classical solution to this problem is found in analytical form. Its uniqueness is proved under the relevant compatibility conditions.