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The Duhamel-like technique makes it possible to translate the initial problem to an integral equation and then approximate it with exponential accuracy. The theoretical results are illustrated by examples associated with the heat transfer boundary value problems.<\/jats:p>","DOI":"10.1137\/06065252x","type":"journal-article","created":{"date-parts":[[2008,1,25]],"date-time":"2008-01-25T18:02:54Z","timestamp":1201284174000},"page":"365-396","source":"Crossref","is-referenced-by-count":2,"title":["Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space"],"prefix":"10.1137","volume":"46","author":[{"given":"T. Yu.","family":"Bohonova","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"I. P.","family":"Gavrilyuk","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"V. 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