Open AccessON SOME PROBLEMS FOR A LOADED PARABOLIC-HYPERBOLIC EQUATION
Author(s) -
A. V. Tarasenko
Publication year - 2013
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2013-19-6-201-204
Subject(s) - uniqueness , mathematics , eigenfunction , mathematical analysis , boundary value problem , fourier series , hyperbolic partial differential equation , series (stratigraphy) , type (biology) , fourier transform , partial differential equation , eigenvalues and eigenvectors , physics , paleontology , quantum mechanics , ecology , biology
Some problems with various boundary conditions for the loaded mixed type equation in rectangular area are studied. The criterion of uniqueness is established and theorems of an existence of solutions to the problems are proved. The solutions are constructed as Fourier series with respect to eigenfunctions of a corresponding one-dimensional problem.