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<top_article>
 <mrnumber>MR0193356</mrnumber>
 <author>Yosida, Setuz{\^o}</author>
 <author_utf8>Setuz&#244; YOSIDA</author_utf8>
 <title>Hukuhara's problem for partial differential equations</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>8</volume>
 <year>1965</year>
 <page>5--37</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol08/fe08-2.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE01-10-en_KML/fe08-005-037/fe08-005-037.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0193356</mathsci_link>
<fesi_info>
  <FILE>fe08-005-037</FILE>
  <YEAR>1965</YEAR>
  <TITLE>Hukuhara's Problem for Partial Differential Equations</TITLE>
  <AUTHOR>YOSIDA, Setuz\^o</AUTHOR>
  <AUTHOR_utf8>YOSIDA, Setuz\^o</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Bielecki, A.; Kisynski, J.</author>
    <title>Sur un probl&#232;me du Mlle Z. Szmydt relatif &#224; l'&#233;quation $\partial^2z/\partial x\partial y=f(x,y,z,\partial z/\partial x,\partial z/\partial y)$</title>
    <journal>Bull. Acad. Polon. Sci.</journal>
    <vol>6</vol>
    <year>1958</year>
    <page>321-325</page>
    <mr>MR0098232</mr>
    <query_string>Cache/Bi/Bieleky,Sur,Bull*,1958,1959</query_string>
  </article>

  <book>
    <bibitem>1</bibitem>
    <author>Bonsall, F. F.</author>
    <booktitle>Lectures on some fixed point theorems of functional analysis</booktitle>
    <publisher>Bombay</publisher>
    <year>1962</year>
    <mr>MR0198173</mr>
    <score>100</score>
    <query_string>Cache/Bo/Bonsall,functional,*,1962,1963</query_string>
    <page>iii+176</page>
  </book>

  <article>
    <bibitem>1</bibitem>
    <author>Cinquini, S.</author>
    <title>Sopra una forma pi&#251; ampia del problema di Cauchy per i sistemi di equazioni a derivate parziali del primo ordine</title>
    <journal>Proc. Internatio. Congr., Amsterdam, vol. 1</journal>
    <year>1954</year>
    <page>447-449</page>
    <score>86</score>
  </article>

  <book>
    <bibitem>1</bibitem>
    <author>Cinquini-Cibrario, M.; Cinquini, S.</author>
    <booktitle>Equazioni a derivate parziali di tipo iperbolico</booktitle>
    <publisher>Roma</publisher>
    <year>1964</year>
    <mr>MR0203199</mr>
    <score>100</score>
    <query_string>Cache/Ci/Cinquini-Cibrario,iperbolico,*,1964,1965</query_string>
    <page>viii+552</page>
  </book>

  <book>
    <bibitem>1</bibitem>
    <author>Hadamard, J.</author>
    <booktitle>Lectures on Cauchy's problem</booktitle>
    <publisher>Yale Univ. Press.</publisher>
    <year>1923</year>
    <page>000</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ha/Hadamard,Lectures,*,1923,1924</query_string>
  </book>

  <article>
    <bibitem>1</bibitem>
    <author>Hukuhara, M.</author>
    <title>Sur les singularit&#233;s des fonctions d&#233;finies par des &#233;quations diff&#233;rentielles, I</title>
    <journal>Japan. J. Math.</journal>
    <vol>8</vol>
    <year>1931</year>
    <page>17-30</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Hu/Hukuhara,Sur,Japan*,1931,1932</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Hukuhara, M.</author>
    <title>Sur les singularit&#233;s des fonctions d&#233;finies par des &#233;quations diff&#233;rentielles, II</title>
    <journal>Japan. J. Math.</journal>
    <vol>8</vol>
    <year>1931</year>
    <page>143-158</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Hu/Hukuhara,Sur,Japan*,1931,1932</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Hukuhara, M.</author>
    <title>Sur les points singulies des &#233;quations diff&#233;rentielles lin&#233;aires; domaine r&#233;el</title>
    <journal>J. Fac. Sci. Hokkaido Imp. Univ. S. I, Math.</journal>
    <vol>2</vol>
    <year>1934/1935</year>
    <page>13-88</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Hu/Hukuhara,singulies,J*,1934,1935</query_string>
  </article>

  <book>
    <bibitem>3</bibitem>
    <author>Hukuhara, M.</author>
    <booktitle>Ordinary differential equations</booktitle>
    <publisher>Tokyo</publisher>
    <year>1950 (in Japanese)</year>
    <page>000</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Hu/Hukuhara,Ordinary,*,1950,1951</query_string>
  </book>

  <article>
    <bibitem>1</bibitem>
    <author>Kisy&#324;ski, J.</author>
    <title>Sur l'existence des solutions de l'&#233;quation $\partial^2z/\partial x\partial y=f(x,y,z,\partial z/\partial x,\partial z/\partial y)$</title>
    <journal>Ann. Univ. Mariae Curie-Sklodowska, Sectio A</journal>
    <ser>Sectio A</ser>
    <vol>15</vol>
    <year>1961</year>
    <page>85-95</page>
    <mr>MR0149122</mr>
    <query_string>Cache/Ky/Kysi\',l'existence,Ann*,1961,1962</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Lasota, A.</author>
    <title>Sur une g&#233;n&#233;ralisation d'un probl&#232;m de Z. Szmydt concernant l'&#233;quation $u_{xy}=f(x,y,u,u_x,u_y)$</title>
    <journal>Bull. Acad. Polon. Sci.</journal>
    <vol>5</vol>
    <year>1957</year>
    <page>15-18</page>
    <mr>MR0087006</mr>
    <query_string>Cache/La/Lasota,u_xy=f(x,y,u,u_x,u_y),Bull*,1957,1958</query_string>
  </article>

  <book>
    <bibitem>1</bibitem>
    <author>Nagumo, M.</author>
    <booktitle>Degree of mapping and existence theorems</booktitle>
    <publisher>Tokyo</publisher>
    <year>1948 (in Japanese)</year>
    <page>000</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Na/Nagumo,existence,*,1948,1949</query_string>
  </book>

  <article>
    <bibitem>1</bibitem>
    <author>Pli&#347;, A.</author>
    <title>Generalisation of the Cauchy problem to a system of partial differential equations</title>
    <journal>Bull. Acad. Polon. Sci.</journal>
    <vol>4</vol>
    <year>1956</year>
    <page>741-744</page>
    <mr>MR0083671</mr>
    <query_string>Cache/Pl/Pli\',Generalization,Bull*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Szmydt, Z.</author>
    <title>Sur un nouveau type de probl&#232;mes pour un syst&#232;me d'&#233;quations diff&#232;rentielles hyperboliques du second ordre &#224; deux variables ind&#233;pendantes</title>
    <journal>Bull. Acad. Polon. Sci.</journal>
    <vol>4</vol>
    <year>1956</year>
    <page>67-72</page>
    <mr>MR0085434</mr>
    <score>100</score>
    <query_string>Cache/Sz/Szmydt,nouveau,Bull*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Szmydt, Z.</author>
    <title>Sur une g&#233;n&#233;ralisation des probl&#232;mes classiques concernant un systeme d'&#233;quations diff&#233;rentielles hyperboliques du second ordre &#224; deux variables ind&#233;pendantes</title>
    <journal>Bull. Acad. Polon. Sci.</journal>
    <vol>4</vol>
    <year>1956</year>
    <page>579-584</page>
    <score>91</score>
    <query_string>Cache/Sz/Szmydt,Sur,Bull*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Szmydt, Z.</author>
    <title>Sur l'existence de solutions de certains nouveau probl&#232;ms pour un syst&#232;me d'&#233;quations diff&#233;rentielles hyperboliques du second ordre &#224; deux variables ind&#233;pendantes</title>
    <journal>Ann. Polon. Math.</journal>
    <vol>4</vol>
    <year>1957</year>
    <page>40-60</page>
    <mr>MR0094568</mr>
    <query_string>Cache/Sz/Szmydt,l'existence,Ann*,1957,1958</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Szmydt, Z.</author>
    <title>Sur l'existence d'une solution unique de certains probl&#232;mes pour un syst&#232;me d'&#233;quations diff&#233;rentielles hyperboliques du second ordre &#224; deux variables ind&#233;pendantes</title>
    <journal>Ann. Polon. Math.</journal>
    <vol>4</vol>
    <year>1958</year>
    <page>165-182</page>
    <mr>MR0094569</mr>
    <query_string>Cache/Sz/Szmydt,l'existence,Ann*,1957,1958</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Szmydt, Z.</author>
    <title>Sur l'existence de solutions de certains probl&#232;mes aux limites relatifs &#224; un syst&#232;me d'&#233;quations diff&#233;rentielles hyperboliques</title>
    <journal>Bull. Acad. Polon. Sci.</journal>
    <vol>6</vol>
    <year>1958</year>
    <page>31-36</page>
    <mr>MR0098908</mr>
    <score>100</score>
    <query_string>Cache/Sz/Szmydt,l'existence,Bull*,1958,1959</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Wa&#380;ewski, T.</author>
    <title>&#220;ber die Bedingungen der Existenz der Integrale partieller Differentialgleichungen erster Ordnung</title>
    <journal>Math. Z.</journal>
    <vol>43</vol>
    <year>1938</year>
    <page>522-532</page>
    <mr>MR1545735</mr>
    <query_string>Cache/z/z,Differentialgleichungen,Math*,1938,1939</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Yosida, S.</author>
    <title>Hukuhara's problem for hyperbolic equations with two independent variables. I. Semi-linear case</title>
    <journal>Proc. Japan Acad.</journal>
    <vol>34</vol>
    <year>1958</year>
    <page>319-324</page>
    <mr>MR0097627</mr>
    <score>91</score>
    <query_string>Cache/Yo/Yosida,independent,Proc*,1958,1959</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Yosida, S.</author>
    <title>Hukuhara's problem for hyperbolic equations with two independent variables. II. Quasi-liner case</title>
    <journal>Proc. Japan Acad.</journal>
    <vol>34</vol>
    <year>1958</year>
    <page>466-470</page>
    <mr>MR0100719</mr>
    <score>91</score>
    <query_string>Cache/Yo/Yosida,independent,Proc*,1958,1959</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Yosida, S.</author>
    <title>Equations in hydrodynamics and Hukuhara's problem</title>
    <journal>Sugaku</journal>
    <vol>11</vol>
    <year>1959</year>
    <page>100-102 (in Japanese)</page>
    <mr>MR0156105</mr>
    <query_string>Cache/Yo/Yosida,hydrodynamics,S\^ugaku*,1959,1960</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Yosida, S.</author>
    <title>Mixed problem and Hukuhara's data</title>
    <journal>Sugaku</journal>
    <vol>11</vol>
    <year>1959</year>
    <page>102-105 (in Japanese)</page>
    <mr>MR0156106</mr>
    <query_string>Cache/Yo/Yosida,Hukuhara's,S\^ugaku*,1959,1960</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Yosida, S.</author>
    <title>Goursat's problem and Hukuhara's data</title>
    <journal>Sugaku</journal>
    <vol>12</vol>
    <year>1960</year>
    <page>161-164</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Yo/Yosida,Hukuhara's,S\^ugaku*,1960,1961</query_string>
  </article>

</references>
</top_article>
