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<top_article>
 <mrnumber>MR0645990</mrnumber>
 <author>Yamanaka, Takesi</author>
 <author_utf8>Takesi YAMANAKA</author_utf8>
 <title>The Cauchy-Kovalevskaja theorem with a vector valued time               variable</title>
 <journal>Fako de l'Funkcialaj Ekvacioj Japana Matematika Societo.               Funkcialaj Ekvaciog. Serio Internacia</journal>
 <volume>24</volume>
 <year>1981</year>
 <page>211--246</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol24/fe24-2-7.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe24-211-246/fe24-211-246.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0645990</mathsci_link>
<fesi_info>
  <FILE>fe24-211-246</FILE>
  <YEAR>1981</YEAR>
  <TITLE>The Cauchy-Kovalevskaja Theorem with a Vector Valued Time Variable</TITLE>
  <AUTHOR>YAMANAKA, Takesi</AUTHOR>
  <AUTHOR_utf8>YAMANAKA, Takesi</AUTHOR_utf8>
</fesi_info>

<references>
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  </article>

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    <booktitle>Vari&#233;t&#233;s Diff&#233;rentielles et Analytiques, Fascicule de Resultas, Paragraphes 1 &#224; 7 (&#201;l&#233;ments de Math&#233;matique XXXIII)</booktitle>
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    <page>xiv+361</page>
  </book>

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    <booktitle>Real Analysis</booktitle>
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  <article>
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    <author>Lascar, B.</author>
    <title>Theor&#232;me de Cauchy-Kowalewsky et thor&#232;me d'unicit&#233; d'Holmgren pour des fonctions d'une infinit&#233; de variables</title>
    <journal>C. R. Acad. Sci. Paris Serie A</journal>
    <ser>A</ser>
    <vol>282</vol>
    <year>1976</year>
    <page>691-694</page>
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    <author>Michal, A. D.</author>
    <booktitle>Le calcul diff&#233;rentiel dans les espaces de Banach, Vol. II</booktitle>
    <publisher>Gauthier-Villars, Paris</publisher>
    <year>1964</year>
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    <page>v+122</page>
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  </article>

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    <author>Mogilevskaja, L. B.</author>
    <title>On the analyticity of solutions in Banach spaces</title>
    <journal>Soviet Math. Dokl.</journal>
    <vol>17</vol>
    <num>3</num>
    <year>1976</year>
    <page>643-646</page>
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    <query_string>Cache/Mo/Mogilevskaja,analyticity,Soviet*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Mogilevskaja, L. B.</author>
    <title>Correction to the above paper</title>
    <journal>Soviet Math. Dokl.</journal>
    <vol>17</vol>
    <num>4</num>
    <year>1976</year>
    <page>(the 5th page of the contents)</page>
    <mr>MR0422806</mr>
    <query_string>Cache/Mo/Mogilevskaja,Correction,Soviet*,1976,1986</query_string>
  </article>

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    <vol>18</vol>
    <year>1942</year>
    <page>41-47</page>
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  </article>

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    <bibitem>11</bibitem>
    <author>Nachbin, L.</author>
    <booktitle>Topology on spaces of holomorphic mappings</booktitle>
    <publisher>(Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 47), Springer, Berlin</publisher>
    <year>1969</year>
    <mr>MR0254579</mr>
    <query_string>Cache/Na/Nachbin,Grenzgebiete,,*,1969,1970</query_string>
  </book>

  <article>
    <bibitem>12</bibitem>
    <author>Nishida, T.</author>
    <title>A note on a theorem of Nirenberg</title>
    <journal>J. Differential Geometry</journal>
    <vol>12</vol>
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    <score>100</score>
    <query_string>Cache/Ni/Nishida,Nirenberg,J*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Nirenberg, L.</author>
    <title>An abstract form of the nonlinear Cauchy-Kowalewski theorem</title>
    <journal>J. Differential Geometry</journal>
    <vol>6</vol>
    <year>1972</year>
    <page>561-576</page>
    <mr>MR0322321</mr>
    <score>100</score>
    <query_string>Cache/Ni/Nirenberg,Cauchy-Kowalewski,J*,1972,1973</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Okamura, H.</author>
    <title>On the Cauchy-Kowalewski-Nagumo theorem</title>
<journal>Kansu-hoteisiki oyobi Oyo-kaiseki (Functional Equations and Applied Analysis), No. 29</journal>
    <year>1941</year>
    <page>20-34 (in Japanese)</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ok/Okamura,Cauchy-Kowalewski-Nagumo,*,1941,1942</query_string>
  </article>

  <article>
    <bibitem>15</bibitem>
    <author>Shinbrot, M.; Welland, R. R.</author>
    <title>The Cauchy-Kowalewskaya Theorem</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>55</vol>
    <year>1976</year>
    <page>757-772</page>
    <mr>MR0492756</mr>
  </article>

  <article>
    <bibitem>16</bibitem>
    <author>Yamanaka, T.; Tamaki, H.</author>
    <title>Cauchy-Kovalevskaja Theorem for Functional Partial Differential Equations</title>
    <journal>Comment. Math. Univ. St. Paul.</journal>
    <vol>29</vol>
    <year>1980</year>
    <page>55-64</page>
    <mr>MR0586248</mr>
    <score>100</score>
    <query_string>Cache/Ya/Yamanaka,Cauchy-Kovalevskaja,Comment*,1980,1981</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Yamanaka, T.; Persson, J.</author>
    <title>On an extension of Holmgren's uniqueness theorem</title>
    <journal>Comment. Math. Univ. St. Paul.</journal>
    <vol>22</vol>
    <year>1973</year>
    <page>19-30</page>
    <mr>MR0328281</mr>
    <score>100</score>
    <query_string>Cache/Ya/Yamanaka,Holmgren's,Comment*,1973,1974</query_string>
  </article>

</references>
</top_article>
