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<top_article>
 <mrnumber>MR0586272</mrnumber>
 <author>Borzymowski, Andrzej</author>
 <author_utf8>Andrzej BORZYMOWSKI</author_utf8>
 <title>A Goursat problem for a polyvibrating equation of D.               Mangeron</title>
 <journal>Fako de l'Funkcialaj Ekvacioj Japana Matematika Societo.               Funkcialaj Ekvaciog. Serio Internacia</journal>
 <volume>23</volume>
 <year>1980</year>
 <page>1--16</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol23/fe23-1-1.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe23-001-016/fe23-001-016.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0586272</mathsci_link>
<fesi_info>
  <FILE>fe23-001-016</FILE>
  <YEAR>1980</YEAR>
  <TITLE>A Goursat Problem for a Polyvibrating Equation of D. Mangeron</TITLE>
  <AUTHOR>BORZYMOWSKI, Andrzej</AUTHOR>
  <AUTHOR_utf8>BORZYMOWSKI, Andrzej</AUTHOR_utf8>
</fesi_info>

<references>
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    <author>Bielecki, A.; Kisynski, J.</author>
    <title>Sur le probl&#232;me de E. Goursat relatif &#224; l'&#233;quation $\frac{\partial^2 z}{\partial x\partial y}=f(x,y)$</title>
    <journal>Ann. Univ. Mariae Curie-Sklodowska, Sect. A</journal>
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    <score>84</score>
    <query_string>Cache/Bi/Bielecki,Sur,Ann*,1956,1957</query_string>
  </article>

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    <title>Studio di problemi ai limiti sull'equazione $\frac{\partial^3 z}{\partial x^2 \partial y}+\frac{\partial^3 z}{\partial x\partial y^2}=f(x,y,z,p,q,r,s,t)e$ sull'equazione $(\frac{\partial}{\partial x}+\lambda_n\frac{\partial}{\partial y})\cdot(\frac{\partial z}{\partial x}+\lambda_1\frac{\partial z}{\partial y})=F(x,y)$</title>
    <journal>Rend. Accad. Lincei.</journal>
    <vol>33</vol>
    <year>1924</year>
    <page>156-160</page>
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    <query_string>Cache/Co/Colombo,problemi,Rend*,1924,1925</query_string>
  </article>

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  </article>

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    <score>84</score>
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  </article>

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    <bibitem>5</bibitem>
    <author>Kuczma, M.</author>
    <booktitle>Functional equations in a single variable</booktitle>
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    <score>100</score>
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    <page>383 pp. (errata insert)</page>
  </book>

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    <author>Kwapisz, M.; Palczewski, B.; Pawelski, W.</author>
    <title>Sur l'existenoe et l'unicit&#233; des solutions de certaines &#233;quations differentielles du type $u_{xyz}=f(x,y,z,u,u_x,u_y,u_z,u_{xy},u_{xz},u_{yz})$</title>
    <journal>Ann. Polon. Math.</journal>
    <vol>11</vol>
    <year>1961</year>
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    <query_string>Cache/Kw/Kwapisz,u_z,u_xy,u_xz,u_yz),Ann*,1961,1962</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Kwapisz, M.; Turo, J.</author>
    <title>On the existence and uniqueness of solutions of the Darboux problem for partial differential-functional equations in a Banach space</title>
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    <vol>29</vol>
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    <score>100</score>
    <query_string>Cache/Kw/Kwapisz,differential-functional,Ann*,1974,1975</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Majcher, G.</author>
    <title>On a new problem for partial differential equations of hyperbolic type</title>
    <journal>Zeszyty Nauk. Politech. Krak.</journal>
    <vol>11</vol>
    <year>1965</year>
    <page>3-61</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ma/Majcher,problem,Zeszyty*,1965,1966</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Mangeron, D.</author>
    <title>Th&#233;orie et applications du calcul symbolique &#224; $m$ variables de Laplace et de Laplace-Picone à l'&#233;tude des mod&#232;les math&#233;matiques</title>
    <journal>C. R. Acad. Sci. Paris S&#233;r. A-B</journal>
    <ser>A-B</ser>
    <vol>266</vol>
    <year>1968</year>
    <page>870-873</page>
    <mr>MR0230062</mr>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Mangeron, D.</author>
    <title>Nouvelles classes de fonctions relatives aux équations polyvibrantes et l'extension de la conjecture de Lorch concernant les propri&#233;t&#233;s de monotonie d'ordre sup&#233;rieur de certaines fonctions de Sturm-Liouville</title>
    <journal>C. R. Acad. Sci. Paris S&#233;r. A-B</journal>
    <ser>A-B</ser>
    <vol>266</vol>
    <year>1968</year>
    <page>976-978</page>
    <mr>MR0231070</mr>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Mangeron, D.</author>
    <title>Sur la formation des fonctions de Green pour certaines classes d'&#233;quations polyvibrantes</title>
    <journal>C. R. Acad. Sci. Paris S&#233;r. A-B</journal>
    <ser>A-B</ser>
    <vol>266</vol>
    <year>1968</year>
    <page>1050-1052</page>
    <mr>MR0233090</mr>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Mangeron, D.</author>
    <title>Sur le rapport des valeurs moyennes des carr&#233;s de deux d&#233;riv&#233;es totales d'ordre cons&#233;cutif</title>
    <journal>C. R. Acad. Sci. Paris S&#233;r. A-B</journal>
    <ser>A-B</ser>
    <vol>266</vol>
    <year>1968</year>
    <page>1103-1106</page>
    <mr>MR0231255</mr>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Mangeron, D.</author>
    <title>Sur une classe d'&#233;quations fonctionnelles attach&#233;es aux probl&#232;mes extr&#233;maux correspondant aux syst&#232;mes polyvibrants</title>
    <journal>C. R. Acad. Sci. Paris S&#233;r. A-B</journal>
    <ser>A-B</ser>
    <vol>266</vol>
    <year>1968</year>
    <page>1121-1124</page>
    <mr>MR0231256</mr>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Matkowski, J.</author>
    <title>Integrable solutions of functional equations</title>
    <journal>Dissertationes Math. (Rozprawy Mat.)</journal>
    <vol>CXXVI</vol>
    <year>1975</year>
    <mr>MR0412650</mr>
    <score>100</score>
    <query_string>Cache/Ma/Matkowski,Integrable,Dissertationes*,1975,1976</query_string>
    <page>68pp</page>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Nappi, L.</author>
    <title>Un teorema di esistenza edi unicit&#224; per il problema di Darboux in n variabili</title>
    <journal>Matematiche</journal>
    <vol>23</vol>
    <year>1968</year>
    <page>224-241</page>
    <mr>MR0244619</mr>
    <score>100</score>
    <query_string>Cache/Na/Nappi,esistenza,Matematiche*,1968,1969</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Oguzt&#246;reli, M. N.; Easwaran, S.</author>
    <title>A Goursat problem for a high order Mangeron equation</title>
    <journal>Atti Accad. Naz. Lincei Rend.</journal>
    <vol>50</vol>
    <year>1971</year>
    <page>650-653</page>
    <mr>MR0304842</mr>
    <score>100</score>
    <query_string>Cache/Og/Oguzt\&quot;oreli,Mangeron,Atti*,1971,1972</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Oguzt&#246;reli, M. N.</author>
    <title>Sur le probl&#232;me de Goursat pour une &#233;quation de Mangeron d'ordre sup&#233;rieur, I, II</title>
    <journal>Acad. Roy. Belg. Cl. Sci. (5)</journal>
    <ser>5</ser>
    <vol>58</vol>
    <year>1972</year>
    <page>464-471, 577-582</page>
    <mr>MR0316920</mr>
    <query_string>Cache/Qg/Qguzt\&quot;oreli,Sur,Acad*,1972,1973</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Oguzt&#246;reli, M. N.</author>
    <title>Sur un probl&#232;me mixte concernant une &#233;quation polyvibrante d'ordre superieur de Mangeron</title>
    <journal>Acad. Roy. Belg. Cl. Sci. (5)</journal>
    <ser>5</ser>
    <vol>58</vol>
    <year>1972</year>
    <page>740-746</page>
    <mr>MR0316921</mr>
    <score>100</score>
    <query_string>Cache/Og/Oguzt\&quot;oreli,polyvibrante,Acad*,1972,1973</query_string>
  </article>

  <article>
    <bibitem>15</bibitem>
    <author>Oguzt&#246;reli, M. N.; Leung, K. V.</author>
    <title>Numerical solution of a mixed problem for a polyvibrating equation of D. Mangeron</title>
    <journal>Acad. Roy. Belg. Cl. Sci. (5)</journal>
    <ser>5</ser>
    <vol>59</vol>
    <year>1973</year>
    <page>441-447</page>
    <mr>MR0327061</mr>
    <score>100</score>
    <query_string>Cache/Og/Oguzt\&quot;oreli,polyvibrating,Acad*,1973,1974</query_string>
  </article>

  <article>
    <bibitem>16</bibitem>
    <author>Palczewski, B.</author>
    <title>On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem under the conditions of the Krasnosielski and Krein type</title>
    <journal>Ann. Polon. Math.</journal>
    <vol>14</vol>
    <year>1964</year>
    <page>183-190</page>
    <mr>MR0161014</mr>
    <score>100</score>
    <query_string>Cache/Pa/Palczewski,approximations,Ann*,1964,1965</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Persson, J.</author>
    <title>Theorems for continuous solutions of generalized Goursat problems</title>
    <journal>Matematische</journal>
    <vol>24</vol>
    <year>1969</year>
    <page>108-136</page>
    <mr>MR0268549</mr>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Persson, J.</author>
    <title>Global linear Goursat problems for functions of Gevrey-Lednev type</title>
    <journal>Ann. Scuola Norm. Sup. Pisa (3)</journal>
    <ser>3</ser>
    <vol>23</vol>
    <year>1969</year>
    <page>387-412</page>
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    <score>100</score>
    <query_string>Cache/Pe/Persson,Gevrey-Lednev,Ann*,1969,1970</query_string>
  </article>

  <article>
    <bibitem>19</bibitem>
    <author>Persson, J.</author>
    <title>Non-characteristic Cauchy problems and generalized Goursat problems in $R^n$</title>
    <journal>J. Math. Mech.</journal>
    <vol>18</vol>
    <year>1969</year>
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    <score>88</score>
    <query_string>Cache/Pe/Persson,Non-characteristic,J*,1969,1970</query_string>
  </article>

  <book>
    <bibitem>20</bibitem>
    <author>Sj&#246;strand, O.</author>
    <booktitle>Sur le probl&#232;me de M. Goursat pour les &#233;quations aux d&#233;riv&#233;es partiellesdu seconde ordre ou de l'ordre sup&#233;rieure</booktitle>
    <publisher>G&#246;teborg</publisher>
    <year>1929</year>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Sj/Sj\&quot;o strand,Sur,*,1929,1930</query_string>
  </book>

</references>
</top_article>
