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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">8825</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Analytical and Computational Investigations of Solutions of Boundary-Value Problems for the Quasipotential Equation</article-title><trans-title-group xml:lang="ru"><trans-title>Аналитическое и численное исследования решений краевых задач для квазипотенциального уравнения</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Amirkhanov</surname><given-names>I V</given-names></name><name xml:lang="ru"><surname>Амирханов</surname><given-names>Илькизар Валиевич</given-names></name></name-alternatives><bio xml:lang="ru">Laboratory of Information Technologies</bio><email>camir@jinr.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Sarker</surname><given-names>N R</given-names></name><name xml:lang="ru"><surname>Саркар</surname><given-names>Нил Ратан</given-names></name></name-alternatives><bio xml:lang="ru">Laboratory of Information Technologies</bio><email>sarker@jinr.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Sarhadov</surname><given-names>I</given-names></name><name xml:lang="ru"><surname>Сархадов</surname><given-names>Иброхим</given-names></name></name-alternatives><bio xml:lang="ru">Laboratory of Information Technologies</bio><email>ibrohim@jinr.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Tukhliev</surname><given-names>Z K</given-names></name><name xml:lang="ru"><surname>Тухлиев</surname><given-names>Зафар Камаридинович</given-names></name></name-alternatives><bio xml:lang="ru">Laboratory of Information Technologies</bio><email>zafar@jinr.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Sharipov</surname><given-names>Z A</given-names></name><name xml:lang="ru"><surname>Шарипов</surname><given-names>Зариф Алимжонович</given-names></name></name-alternatives><bio xml:lang="ru">Laboratory of Information Technologies</bio><email>zarif@jinr.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Joint Institute for Nuclear Research</institution></aff><aff><institution xml:lang="ru">Объединённый институт ядерных исследований</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2012-04-15" publication-format="electronic"><day>15</day><month>04</month><year>2012</year></pub-date><issue>4</issue><issue-title xml:lang="en">NO4 (2012)</issue-title><issue-title xml:lang="ru">№4 (2012)</issue-title><fpage>44</fpage><lpage>52</lpage><history><date date-type="received" iso-8601-date="2016-09-08"><day>08</day><month>09</month><year>2016</year></date></history><permissions><copyright-statement xml:lang="ru">Copyright ©; 2012, Амирханов И.В., Саркар Н.Р., Сархадов И., Тухлиев З.К., Шарипов З.А.</copyright-statement><copyright-year>2012</copyright-year><copyright-holder xml:lang="ru">Амирханов И.В., Саркар Н.Р., Сархадов И., Тухлиев З.К., Шарипов З.А.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/8825">https://journals.rudn.ru/miph/article/view/8825</self-uri><abstract xml:lang="en">Investigation of solutions of a boundary-value problem is carried out for the quasipotential equation with piecewise-constant potentials at various values of the parameters of the problem. The comparative analysis of the solutions of the quasipotential equation with the solutions of Schr̈odinger equation is performed.</abstract><trans-abstract xml:lang="ru">В работе проведено исследование решений краевых задач для квазипотенциального уравнения с кусочно-постоянными потенциалами при различных значениях параметров задачи. Проведён сравнительный анализ решений квазипотенциального уравнения c решениями уравнения Шрёдингера.</trans-abstract><kwd-group xml:lang="en"><kwd>quasipotential equation</kwd><kwd>boundary problem</kwd><kwd>shift operator</kwd><kwd>symbolic computing</kwd><kwd>piecewise constant potentials</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>квазипотенциальное уравнение</kwd><kwd>краевая задача</kwd><kwd>оператор сдвига</kwd><kwd>символьные вычисления</kwd><kwd>кусочно-постоянные потенциалы</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Кадышевский В. Г., Мир-Касымов Р. М., Скачков Н. 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