The boundary value problem for the loaded equation of mixed parabolic-hyperbolic type in rectangular area

Abstract

In work necessary and sufficient conditions of uniqueness of the decision of a regional problem for the loaded equation mixed parabolic hyperbolic type in rectangular area are established. The problem decision is constructed in the form of the number sum on own functions of a corresponding one-dimensional problem on own values.

Keywords

• loaded equation of mixed type
• spectral method
• uniqueness
• existence