Abstract:
We consider an analog of the linear Hoff equation in quasi-Sobolev spaces with multipoint initial-final value condition. The research is based on the abstract results obtained for the Sobolev type equation with multipoint initial-final value condition in the quasi-Banach spaces of sequences. The unique solvability of the studied problem is obtained.
Keywords:multipoint initial-final value problem, quasi-Banach space of sequences, splitting theorem, Hoff equation.