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  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-15413</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/15413</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Статьи</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Articles</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">On the integration of first order partial differential equations</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Об интегрировании дифференциальных уравнений с частными производными первого порядка</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Dolbnya</surname>
            <given-names>I. P.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Долбня</surname>
              <given-names>И. П.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Dolbnya</surname>
              <given-names>I. P.</given-names>
            </name>
          </name-alternatives>
          <email>pmi@spmi.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru"> (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en"> (Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="1912-01-01">
        <day>01</day>
        <month>01</month>
        <year>1912</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>1912</year>
      </pub-date>
      <volume>4</volume>
      <issue>1</issue>
      <fpage>1</fpage>
      <lpage>3</lpage>
      <history>
        <date date-type="received" iso-8601-date="1911-07-19">
          <day>19</day>
          <month>07</month>
          <year>1911</year>
        </date>
        <date date-type="accepted" iso-8601-date="1911-09-10">
          <day>10</day>
          <month>09</month>
          <year>1911</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="1912-01-01">
          <day>01</day>
          <month>01</month>
          <year>1912</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 1912 И. П. Долбня</copyright-statement>
        <copyright-statement xml:lang="en">© 1912 I. P. Dolbnya</copyright-statement>
        <copyright-year>1912</copyright-year>
        <copyright-holder xml:lang="ru">И. П. Долбня</copyright-holder>
        <copyright-holder xml:lang="en">I. P. Dolbnya</copyright-holder>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="ru">
          <license-p>Эта статья доступна по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p>
        </license>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="en">
          <license-p>This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/15413">https://pmi.spmi.ru/pmi/article/view/15413</self-uri>
      <abstract xml:lang="ru">
        <p>Получили однородное линейное дифференциальное уравнений первого порядка с частными производными относительно q. Уравнение это равносильно системе обыкновенных совокупных дифференциальных уравнений первого порядка. Настоящая заметка найдена в посмертных бумагах И.П. Долбни. Оставались неоконченными только вычисления примера.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>We have obtained a homogeneous linear differential equation of the first order with partial derivatives with respect to q. This equation is equivalent to a system of ordinary cumulative differential equations of the first order (see article). This note was found in the postmortem papers of I. P. Dolbnya. Only the calculations of the example remained unfinished.</p>
      </abstract>
    </article-meta>
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      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">-</mixed-citation>
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