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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">donstu</journal-id><journal-title-group><journal-title xml:lang="en">Advanced Engineering Research (Rostov-on-Don)</journal-title><trans-title-group xml:lang="ru"><trans-title>Advanced Engineering Research (Rostov-on-Don)</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2687-1653</issn><publisher><publisher-name>Don State Technical University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">donstu-1286</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATHEMATICAL AND NATURAL SCIENCES</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>МАТЕМАТИЧЕСКИЕ И ЕСТЕСТВЕННЫЕ НАУКИ</subject></subj-group></article-categories><title-group><article-title>ON THE CHARACTERIZATION AND SOLVABILITY OF INFINITE ORDER LINEAR DISCRETE DIFFERENCE EQUATIONS</article-title><trans-title-group xml:lang="ru"><trans-title>О ХАРАКТЕРИЗАЦИИ И РАЗРЕШИМОСТИ ЛИНЕЙНЫХ ДИСКРЕТНЫХ РАЗНОСТНЫХ УРАВНЕНИЙ БЕСКОНЕЧНОГО ПОРЯДКА</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>БРАТИЩЕВ</surname><given-names>АЛЕКСАНДР ВАСИЛЬЕВИЧ</given-names></name><name name-style="western" xml:lang="en"><surname>BRATISHCHEV</surname><given-names>A.V.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>КАЛИНИЧЕНКО</surname><given-names>ЛЮБОВЬ ИВАНОВНА</given-names></name><name name-style="western" xml:lang="en"><surname>KALINICHENKO</surname><given-names>L.I.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Донской государственный технический университет.</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Don State Technical University.</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Южный федеральный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Southern Federal University.</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2007</year></pub-date><pub-date pub-type="epub"><day>30</day><month>06</month><year>2007</year></pub-date><volume>7</volume><issue>2</issue><fpage>161</fpage><lpage>168</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; BRATISHCHEV A., KALINICHENKO L., 2007</copyright-statement><copyright-year>2007</copyright-year><copyright-holder xml:lang="ru">БРАТИЩЕВ А., КАЛИНИЧЕНКО Л.</copyright-holder><copyright-holder xml:lang="en">BRATISHCHEV A., KALINICHENKO L.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.vestnik-donstu.ru/jour/article/view/1286">https://www.vestnik-donstu.ru/jour/article/view/1286</self-uri><abstract/><trans-abstract xml:lang="ru"/></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Гудвин Г.К., Грабе С.Ф., Сальгадо М.Р. 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