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 <mrnumber>MR1065470</mrnumber>
 <author>Haraoka, Yoshishige</author>
 <author_utf8>Yoshishige HARAOKA</author_utf8>
 <title>The Galois theory for linear homogeneous partial               differential equations of the first order</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>33</volume>
 <year>1990</year>
 <page>79--126</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol33/fe33-1-6.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE31-34-en_KML/fe33-079-126/fe33-079-126.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1065470</mathsci_link>
<fesi_info>
  <FILE>fe33-079-126</FILE>
  <YEAR>1990</YEAR>
  <TITLE>The Galois Theory for Linear Homogeneous Partial Differential Equations of the First Order</TITLE>
  <AUTHOR>HARAOKA, Yoshishige</AUTHOR>
  <AUTHOR_utf8>HARAOKA, Yoshishige</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Cartan, E.</author>
    <title>Sur la structure des groupes infinis de transformations</title>
    <journal>Ann. Sci. Ecole Norm. Sup. (3)</journal>
    <ser>(3)</ser>
    <vol>21</vol>
    <year>1904</year>
    <page>153-206</page>
    <mr>MR1509040</mr>
    <score>88</score>
    <query_string>Cache/Ca/Cartan,transformations,Ann*,1905,1906</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Cartan, E.</author>
    <title>Sur la structure des groupes infinis de transformations</title>
    <journal>Ann. Sci. Ecole Norm. Sup. (3)</journal>
    <ser>(3)</ser>
    <vol>22</vol>
    <year>1905</year>
    <page>219-308</page>
    <mr>MR1509054</mr>
    <score>88</score>
    <query_string>Cache/Ca/Cartan,transformations,Ann*,1905,1906</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Drach, J.</author>
    <title>Essai sur une th&#233;orie g&#233;n&#233;rale de l'int&#233;gration et sur la classification des transcenantes</title>
    <journal>Ann. Sci. Ecole Norm. Sup.</journal>
    <ser>(3)</ser>
    <vol>15</vol>
    <year>1898</year>
    <page>243-384</page>
    <mr>MR1508959</mr>
    <score>84</score>
    <query_string>Cache/Dr/Drach,Essai,Ann*,1898,1899</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Drach, J.</author>
    <title>Sur l'int&#233;gration logique des &#233;quations diff&#233;rentielles ordinaires</title>
    <journal>Proceedings 5th International Congress of Mathematicians, vol. II, Cambridge University Press</journal>
    <year>1913</year>
    <page>438-497</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Dr/Drach,Sur,*,1913,1914</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Drach, J.</author>
    <title>Sur le groupe de rationalit&#233; des &#233;quations du second ordre de M. Painlev&#233;</title>
    <journal>Bull. Sci. Math. 2</journal>
    <ser>2</ser>
    <vol>39</vol>
    <year>1915</year>
    <page>149-166</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Dr/Drach,groupe,Bull*,1915,1916</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Kolchin, E. R.</author>
    <title>Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations</title>
    <journal>Ann. of Math.</journal>
    <vol>49</vol>
    <year>1948</year>
    <page>1-42</page>
    <mr>MR0024884</mr>
    <score>100</score>
    <query_string>Cache/Ko/Kolchin,Picard-Vessiot,Ann*,1948,1949</query_string>
  </article>

  <book>
    <bibitem>6</bibitem>
    <author>Kolchin, E. R.</author>
    <booktitle>Differential Algebra and Algebraic Groups</booktitle>
    <publisher>Academic Press</publisher>
    <year>1973</year>
    <mr>MR0568864</mr>
    <score>100</score>
    <query_string>Cache/Ko/Kolchin,*,*,1973,1974</query_string>
    <page>xviii+446</page>
  </book>

  <article>
    <bibitem>7</bibitem>
    <author>Kuranishi, M.</author>
    <title>On the local theory of continuous infinite pseudo groups I</title>
    <journal>Nagoya Math. J.</journal>
    <vol>15</vol>
    <year>1959</year>
    <page>225-260</page>
    <mr>MR0116071</mr>
    <score>100</score>
    <query_string>Cache/Ku/Kuranishi,continuous,Nagoya*,null,null</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Kuranishi, M.</author>
    <title>On the local theory of continuous infinite pseudo groups II</title>
    <journal>Nagoya Math. J.</journal>
    <vol>19</vol>
    <year>1961</year>
    <page>55-91</page>
    <mr>MR0142694</mr>
    <score>100</score>
    <query_string>Cache/Ku/Kuranishi,continuous,Nagoya*,null,null</query_string>
  </article>

  <book>
    <bibitem>8</bibitem>
    <author>Lie, S.</author>
    <booktitle>Theorie der Transformationsgruppen</booktitle>
    <publisher>Dritter Abschnitt, Teubner</publisher>
    <year>1893</year>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Li/Lie,Transformationsgruppen,*,1893,1894</query_string>
  </book>

  <book>
    <bibitem>9</bibitem>
    <author>Nagata, M.</author>
    <booktitle>Local Rings</booktitle>
    <publisher>John Wiley</publisher>
    <year>1962</year>
    <mr>MR0155856</mr>
    <score>100</score>
    <query_string>Cache/Na/Nagata,Local,*,1962,1963</query_string>
    <page>xiii+234</page>
  </book>

  <article>
    <bibitem>10</bibitem>
    <author>Nishioka, K.</author>
    <title>A note on the transcendency of Painlev&#233;'s first transcendent</title>
    <journal>Nagoya Math. J.</journal>
    <vol>109</vol>
    <year>1988</year>
    <page>63-67</page>
    <mr>MR0931951</mr>
    <score>100</score>
    <query_string>Cache/Ni/Nishioka,transcendency,Nagoya*,1988,1989</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Painlev&#233;, P.</author>
    <title>D&#233;monstration de l'irr&#233;ducibilit&#233; absolue de l'&#233;quation $y''=6y^2+x$</title>
    <journal>&#338;uvre t.III</journal>
    <page>89-95</page>
    <not_found>Title does not match.</not_found>
    <nearest_title>Les axiomes de la m&#233;canique</nearest_title>
    <query_string>Cache/Pa/Painlev&#233;,*,*,1985,1995</query_string>
    <mr_guess>MR1398420</mr_guess>
    <year>1995</year>
  </article>

  <book>
    <bibitem>12</bibitem>
    <author>Picard, E.</author>
    <booktitle>Trait&#233; d'Analyse, t. III, chap. 17</booktitle>
    <publisher>Gauthier-Villars</publisher>
    <year>1898, 1908, 1928</year>
    <mr>MR1188644</mr>
    <query_string>Cache/Pi/Picard,d'Analyse,,*,1928,1929</query_string>
  </book>

  <book>
    <bibitem>13</bibitem>
    <author>Pommaret, J. F.</author>
    <booktitle>Differential Galois Theory</booktitle>
    <publisher>Gordon and Breach</publisher>
    <year>1983</year>
    <mr>MR0720863</mr>
    <score>100</score>
    <query_string>Cache/Po/Pommaret,*,*,1983,1984</query_string>
    <page>viii+759</page>
  </book>

  <book>
    <bibitem>14</bibitem>
    <author>Ritt, J. F.</author>
    <booktitle>Differential Equations from the Algebraic Standpoint</booktitle>
    <publisher>Amer. Math. Soc. Colloq. Publ., vol. 14, Amer. Math. Soc.</publisher>
    <year>1932</year>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ri/Ritt,*,*,1932,1933</query_string>
  </book>

  <book>
    <bibitem>15</bibitem>
    <author>Ritt, J. F.</author>
    <booktitle>Differential Algebra</booktitle>
    <publisher>Amer. Math. Soc. Colloq. Publ. vol. 33, Amer. Math. Soc.</publisher>
    <year>1950</year>
    <mr>MR0035763</mr>
    <query_string>Cache/Ri/Ritt,Amer,*,1950,1951</query_string>
  </book>

  <article>
    <bibitem>16</bibitem>
    <author>Umemura, H.</author>
    <title>On the irreducibility of the first differential equation of Painlev&#233;</title>
    <journal>Algebraic Geometry and Commutative algebra in Honor of Masayoshi Nagata, Kinokuniya</journal>
    <year>1987</year>
    <page>771-789</page>
    <mr>MR0977782</mr>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Vessiot, E.</author>
    <title>Sur la th&#233;orie des groupes continus</title>
    <journal>Ann. Sci. Ecole Norm. Sup. (3)</journal>
    <ser>(3)</ser>
    <vol>20</vol>
    <year>1903</year>
    <page>411-451</page>
    <mr>MR1509031</mr>
    <score>100</score>
    <query_string>Cache/Ve/Vessiot,Sur,Ann*,1903,1904</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Vessiot, E.</author>
    <title>Sur la th&#233;orie de Galois et ses diverses g&#233;n&#233;ralisations</title>
    <journal>Ann. Sci. Ecole Norm. Sup. (3)</journal>
    <ser>(3)</ser>
    <vol>21</vol>
    <year>1904</year>
    <page>9-85</page>
    <mr>MR1509036</mr>
    <score>100</score>
    <query_string>Cache/Ve/Vessiot,Sur,Ann*,1904,1905</query_string>
  </article>

</references>
</top_article>
