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<top_article>
 <mrnumber>MR0102634</mrnumber>
 <author>Sibuya, Yasutaka</author>
 <author_utf8>Yasutaka SIBUYA</author_utf8>
 <title>Non-linear ordinary differential equations with periodic               coefficients. </title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>1</volume>
 <year>1958</year>
 <page>121--204</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol01/fe01-3.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE01-10-en_KML/fe01-077-132/fe01-077-132.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0102634</mathsci_link>
<fesi_info>
  <FILE>fe01-077-132</FILE>
  <YEAR>1958</YEAR>
  <TITLE>Non-linear Ordinary Differential Equations with Periodic Coefficients</TITLE>
  <AUTHOR>SIBUYA, Yasutaka</AUTHOR>
  <AUTHOR_utf8>SIBUYA, Yasutaka</AUTHOR_utf8>
</fesi_info>

<references>
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    <title>Perturbations of linear systems with constant coefficients possessing periodic solutions</title>
    <journal>Contributions to the theory of non-linear oscillations, Vol. 2, Princeton</journal>
    <year>1952</year>
    <page>19-35</page>
    <mr>MR0054803</mr>
    <query_string>Cache/Co/Coddington,Perturbations,*,1952,1953</query_string>
  </article>

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    <author>Dulac, H.</author>
    <title>Points singuliers des &#233;quations differentielles</title>
    <journal>Mem. Sci. Math., Fasc.</journal>
    <vol>61</vol>
    <year>1934</year>
    <not_found>Data is not found in MathSci.</not_found>
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  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Dulac, H.</author>
    <title>Solutions d'un syst&#232;me d'&#233;quations diff&#233;rentielles dans le voisinage de valeurs singuli&#232;res</title>
    <journal>Bull. Soc. Math., France</journal>
    <vol>40</vol>
    <year>1912</year>
    <page>324-382</page>
    <mr>MR1504694</mr>
    <score>100</score>
    <query_string>Cache/Du/Dulac,Solutions,Bull*,1912,1913</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Floquet, G.</author>
    <title>Sur les &#233;quations diff&#233;rentielles lin&#233;aires &#224; coefficients p&#233;riodiques</title>
    <journal>Ann. Sci. Ec. Norm. Sup. II</journal>
    <ser>II</ser>
    <vol>12</vol>
    <year>1883</year>
    <page>47-88</page>
    <mr>MR1508722</mr>
    <score>100</score>
    <query_string>Cache/Fl/Floquet,Sur,Ann*,1883,1884</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Hukuhara, M.</author>
    <title>Sur la solution born&#233;e des &#233;quations diff&#233;rentielles ordinaires p&#233;riodiques</title>
    <journal>Rend. Sem. Math., Univ. Politec. di Torino</journal>
    <vol>15</vol>
    <year>1955-56</year>
    <page>49-57</page>
    <mr>MR0096856</mr>
    <score>100</score>
    <query_string>Cache/Hu/Hukuhara,solution,Rend*,1955,1956</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Hukuhara, M.</author>
    <title>Sur les &#233;quations diff&#233;rentielles p&#233;riodiques non lin&#233;aires</title>
    <journal>Jour. Fac. Sci., Univ. Tokyo I</journal>
    <ser>I</ser>
    <vol>7</vol>
    <year>1957</year>
    <page>437-447</page>
    <mr>MR0085410</mr>
    <score>100</score>
    <query_string>Cache/Hu/Hukuhara,Sur,Jour*,1957,1958</query_string>
  </article>

  <book>
    <bibitem>1</bibitem>
    <author>Kryloff, N.; Bogoliuboff, N.</author>
    <booktitle>Introduction to non-linear mechanics</booktitle>
    <publisher>Princeton</publisher>
    <year>1949</year>
    <mr>MR0007461</mr>
    <query_string>Cache/Kr/Kryloff,Introduction,*,1949,1950</query_string>
  </book>

  <book>
    <bibitem>1</bibitem>
    <author>Minorsky, N.</author>
    <booktitle>Introduction to non linear mechanics</booktitle>
    <publisher>Ann Arbor</publisher>
    <year>1947</year>
    <mr>MR0020689</mr>
  </book>

  <article>
    <bibitem>1</bibitem>
    <author>Sibuya, Y.</author>
    <title>Sur un syst&#232;me des &#233;quations diff&#233;rentielles ordinaires non lin&#233;aires &#224; coefficients constants ou p&#233;riodiques</title>
    <journal>Jour. Fac. Sci., Univ. Tokyo I</journal>
    <ser>I</ser>
    <vol>7</vol>
    <year>1954</year>
    <page>19-32</page>
    <mr>MR0061725</mr>
    <score>100</score>
    <query_string>Cache/Si/Sibuya,Sur,Jour*,1954,1955</query_string>
  </article>

  <article>
    <bibitem>1b</bibitem>
    <author>Sibuya, Y.</author>
    <title>Sur un syst&#232;me des &#233;quations diff&#233;rentielles ordinaires non lin&#233;aires &#224; coefficients constants ou p&#233;riodiques, II</title>
    <journal>Jour. Fac. Sci., Univ. Tokyo I</journal>
    <ser>I</ser>
    <vol>7</vol>
    <year>1954</year>
    <page>107-127</page>
    <mr>MR0061726</mr>
    <score>100</score>
    <query_string>Cache/Si/Sibuya,Sur,Jour*,1954,1955</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Sibuya, Y.</author>
    <title>Sur un syst&#232;me des &#233;quations differentielles ordinaires lin&#233;aires &#224; coefficients p&#233;riodiques et contenant des param&#232;tres</title>
    <journal>Jour. Fac. Sci., Univ. Tokyo I</journal>
    <ser>I</ser>
    <vol>7</vol>
    <year>1954</year>
    <page>229-241</page>
    <mr>MR0069357</mr>
    <score>100</score>
    <query_string>Cache/Si/Sibuya,differentielles,Jour*,1954,1955</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Sibuya, Y.</author>
    <title>Sur les solutions p&#233;riodiques d'un syst&#232;me des &#233;quations diff&#233;rentielles ordinaires non lin&#233;aires &#224; coefficients p&#233;riodiques</title>
    <journal>Jour. Fac. Sci., Univ. Tokyo I</journal>
    <ser>I</ser>
    <vol>7</vol>
    <year>1954</year>
    <page>243-254</page>
    <mr>MR0069358</mr>
    <score>100</score>
    <query_string>Cache/Si/Sibuya,solutions,Jour*,1954,1955</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Sibuya, Y.</author>
    <title>Sur les solutions p&#233;riodiques d'un syst&#232;me des &#233;quations diff&#233;rentielles ordinaires non lin&#233;aires &#224; coefficients p&#233;riodiques</title>
    <journal>Jour. Fac. Sci., Univ. Tokyo I</journal>
    <ser>I</ser>
    <vol>7</vol>
    <year>1954</year>
    <page>243-254</page>
    <mr>MR0069358</mr>
    <query_string>Cache/Si/Sibuya,solutions,Jour*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Sibuya, Y.</author>
    <title>Remarques sur la th&#233;orie des centres aux dimensions sup&#233;rieures</title>
    <journal>Jour. Math. Soc. Japan</journal>
    <vol>8</vol>
    <year>1956</year>
    <page>1-6</page>
    <mr>MR0100137</mr>
    <query_string>Cache/Si/Sibuya,dimensions,Jour*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Sibuya, Y.</author>
    <title>Sur un syst&#232;me d'&#233;quations diff&#233;rentielles ordinaires &#224; coefficients presque-p&#233;riodiques et contenant des param&#232;tres</title>
    <journal>Jour. Fac. Sci., Univ. Tokyo I</journal>
    <ser>I</ser>
    <vol>7</vol>
    <year>1957</year>
    <page>407-417</page>
    <mr>MR0086195</mr>
    <score>100</score>
    <query_string>Cache/Si/Sibuya,Sur,Jour*,1957,1958</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Siegel, C. L.</author>
    <title>Ueber der Normalform analytischer Differentialgleichungen in der N&#228;he einer Gleichgewichtsl&#246;sung</title>
    <journal>Nachr. Akad. Wiss. G&#246;ttingen, Math.-Phys. Kl.</journal>
    <vol>II</vol>
    <year>1952</year>
    <page>21-30</page>
    <mr>MR0057407</mr>
    <score>80</score>
    <query_string>Cache/Si/Siegel,Differentialgleichungen,Nachr*,1952,1953</query_string>
  </article>

  <book>
    <bibitem>1</bibitem>
    <author>Stoker, J. J.</author>
    <booktitle>Non linear vibrations in mechanical and electrical systems</booktitle>
    <publisher>New York</publisher>
    <year>1950</year>
    <mr>MR0034932</mr>
    <score>85</score>
    <query_string>Cache/St/Stoker,vibrations,*,1950,1951</query_string>
    <page>xix+273</page>
  </book>

  <article>
    <bibitem>1</bibitem>
    <author>Urabe, M.</author>
    <title>On solutions of the linear homogeneous partial differential equations in the vicinity of the singularity, I</title>
    <journal>Jour. Sci., Hiroshima Univ., A</journal>
    <ser>A</ser>
    <vol>14</vol>
    <year>1950</year>
    <page>115-126</page>
    <mr>MR0046522</mr>
    <query_string>Cache/Ur/Urabe,homogeneous,Jour*,1950,1951</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Urabe, M.</author>
    <title>On solutions of the linear homogeneous partial differential equations in the vicinity of the singularity, II</title>
    <journal>Jour. Sci., Hiroshima Univ., A</journal>
    <ser>A</ser>
    <vol>14</vol>
    <year>1950</year>
    <page>195-207</page>
    <mr>MR0046523</mr>
    <query_string>Cache/Ur/Urabe,homogeneous,Jour*,1950,1951</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Urabe, M.</author>
    <title>On solutions of the linear homogeneous partial differential equations in the vicinity of the singularity, III</title>
    <journal>Jour. Sci., Hiroshima Univ., A</journal>
    <ser>A</ser>
    <vol>15</vol>
    <year>1951</year>
    <page>25-37</page>
    <mr>MR0046524</mr>
    <query_string>Cache/Ur/Urabe,homogeneous,Jour*,1951,1952</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Urabe, M.</author>
    <title>On integrals of the certain ordinary differential equations in the vicinity of the singularity, I</title>
    <journal>Jour. Sci., Hiroshima Univ., A</journal>
    <ser>A</ser>
    <vol>14</vol>
    <year>1950</year>
    <page>209-215</page>
    <mr>MR0046525</mr>
    <query_string>Cache/Ur/Urabe,integrals,Jour*,1951,1952</query_string>
  </article>

  <article>
    <bibitem>2b</bibitem>
    <author>Urabe, M.</author>
    <title>On integrals of the certain ordinary differential equations in the vicinity of the singularity, II</title>
    <journal>Jour. Sci., Hiroshima Univ., A</journal>
    <ser>A</ser>
    <vol>15</vol>
    <year>1951</year>
    <page>39-43</page>
    <mr>MR0046526</mr>
    <query_string>Cache/Ur/Urabe,integrals,Jour*,1951,1952</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Urabe, M.</author>
    <title>Application of majorized group of transformations to functional equations</title>
    <journal>Jour. Sci., Hiroshima Univ., A</journal>
    <ser>A</ser>
    <vol>16</vol>
    <year>1952</year>
    <page>267-283</page>
    <mr>MR0063560</mr>
    <query_string>Cache/Ur/Urabe,transformations,Jour*,1952,1953</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Urabe, M.</author>
    <title>Application of majorized group of transformations to ordinary differential equa tions with periodic coefficients</title>
    <journal>Jour. Sci., Hiroshima Univ., A</journal>
    <ser>A</ser>
    <vol>19</vol>
    <year>1956</year>
    <page>469-478</page>
    <mr>MR0083629</mr>
    <query_string>Cache/Ur/Urabe,transformations,Jour*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Urabe, M.; Sibuya, Y.</author>
    <title>On center of higher dimensions</title>
    <journal>Jour. Sci., Hiroshima Univ., A</journal>
    <ser>A</ser>
    <vol>19</vol>
    <year>1955</year>
    <page>87-100</page>
    <mr>MR0079172</mr>
    <query_string>Cache/Ur/Urabe,dimensions,Jour*,1955,1956</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Sibuya, Y.</author>
    <title>On perturbations of periodic solutions</title>
    <journal>J. of Math, and Mech.</journal>
    <vol>9</vol>
    <year>1960</year>
    <page>771-782</page>
    <mr>MR0123069</mr>
    <score>100</score>
    <query_string>Cache/Si/Sibuya,perturbations,J*,1960,1961</query_string>
  </article>

  <article>
    <bibitem>1</bibitem>
    <author>Sibuya, Y.</author>
    <title>On bounded solutions of ordinary differential equations with almost periodic coefficients</title>
    <journal>Bol. Soc. Mat. Mexicana</journal>
    <year>1960</year>
    <page>290-293</page>
    <mr>MR0139799</mr>
    <score>100</score>
    <query_string>Cache/Si/Sibuya,solutions,Bol*,1960,1961</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Sibuya, Y.</author>
    <title>Almost periodic solutions of a system of ordinary differential equations with periodic coefficients</title>
    <journal>Nat. Sci. Rep., Ochanomizu Univ.</journal>
    <vol>13</vol>
    <year>1962</year>
    <page>21-30</page>
    <mr>MR0156036</mr>
    <score>100</score>
    <query_string>Cache/Si/Sibuya,solutions,Nat*,1962,1963</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Sibuya, Y.</author>
    <title>Sur r&#233;duction analytique d'un syst&#232;me d'&#233;quations diff&#233;rentielles ordinaires lin&#233;aires contenant un param&#232;tre</title>
    <journal>J. of Fac. Sci., Univ. of Tokyo I</journal>
    <ser>I</ser>
    <vol>7</vol>
    <year>1958</year>
    <page>527-540</page>
    <mr>MR0096016</mr>
    <score>91</score>
    <query_string>Cache/Si/Sibuya,Sur,J*,1958,1959</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Sibuya, Y.</author>
    <title>On nonlinear ordinary differential equations containing a parameter</title>
    <journal>J. of Math, and Mech.</journal>
    <vol>9</vol>
    <year>1960</year>
    <page>369-398</page>
    <mr>MR0123795</mr>
    <score>100</score>
    <query_string>Cache/Si/Sibuya,nonlinear,J*,1960,1961</query_string>
  </article>

  <fearticle>
    <bibitem>3</bibitem>
    <author>Sibuya, Y.</author>
    <title>Simplification of a system of linear ordinary differential equations about a singular point</title>
    <journal>Funkcialaj Ekvacioj</journal>
    <vol>4</vol>
    <year>1962</year>
    <page>29-56</page>
    <mr>MR0152719</mr>
<feart>0152719</feart>
    <score>100</score>
    <query_string>Cache/Si/Sibuya,Simplification,Funkcialaj*,1962,1963</query_string>
  </fearticle>

</references>
</top_article>
