MULTIPOINT INITIAL-FINAL VALUE PROBLEM FOR HOFF EQUATION IN QUASI-SOBOLEV SPACES

N. N. Solovyova, S. A. Zagrebina

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.

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