On a non-local boundary value problem for loaded differential equation with characteristic form of variable sign

Abstract

Non-local boundary value problem for loaded equation of parabolic type with the sign- variable characteristic form is solved. Common representation of solution is constructed. The theorems of common representation, existence and uniqueness of solution for boundary value problems set in rectangular domain are proved.

Keywords

• loaded differential equation
• regular solution
• non-local boundary value problem
• uniqueness
• occurence