INITIAL BOUNDARY VALUE PROBLEM FOR SOME CLASS OF NON-LINEAR DEGENERATE PSEUDOPARABOLIC EQUATIONS

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Submitted: 2025-02-27; Published: 2025-02-27

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Abstract

The present paper studies existence and uniqueness of solution of initial boundary value problems for the non-linear degenerate pseudoparabolic equations. It is proved that if operators L and M satisfy certain conditions, the problem has a unique solution in corresponding functional spaces.