Abstract
The theory of Sobolev type equations experiences an epoch of blossoming. In this article the theory of higher order Sobolev type equations with relatively spectrally bounded operator pencils, previously developed in Banach spaces, is transferred to quasi-Banach spaces. We use already well proved for solving Sobolev type equations phase space method, consisting in reduction of singular equation to regular one de ned on some subspace of initial space. The propagators and the phase space of complete higher order Sobolev type equations are constructed. Abstract results are illustrated by speci c examples. The Boussinesq-Love equation in quasi-Banach space is considered as application.
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Schedule a callMore From: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software"
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