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<top_article>
 <mrnumber>MR0210997</mrnumber>
 <author>Kato, Junji</author>
 <author_utf8>Junji KATO</author_utf8>
 <title>Asymptotic equivalences between systems of differential               equations and their perturbed systems</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>8</volume>
 <year>1966</year>
 <page>45--78</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol08/fe08-4.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE01-10-en_KML/fe08-045-078/fe08-045-078.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0210997</mathsci_link>
<fesi_info>
  <FILE>fe08-045-078</FILE>
  <YEAR>1966</YEAR>
  <TITLE>Asymptotic Equivalences between Systems of Differential Equations and their Perturbed Systems</TITLE>
  <AUTHOR>KATO, Junji</AUTHOR>
  <AUTHOR_utf8>KATO, Junji</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Brauer, F.</author>
    <title>Global behavior of solutions of ordinary differential equations</title>
    <journal>Journal of Mathematical Analysis and Applications</journal>
    <vol>2</vol>
    <year>1961</year>
    <page>145-158</page>
    <mr>MR0130423</mr>
    <score>100</score>
    <query_string>Cache/Br/Brauer,solutions,Journal*,1961,1962</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Brauer, F.</author>
    <title>Asymptotic equivalence and asymptotic behaviour of linear systems</title>
    <journal>Michigan Mathematical journal</journal>
    <vol>9</vol>
    <year>1962</year>
    <page>33-43</page>
    <mr>MR0133498</mr>
    <score>100</score>
    <query_string>Cache/Br/Brauer,equivalence,Michigan*,1962,1963</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Brauer, F.</author>
    <title>Nonlinear differential equations with forcing terms</title>
    <journal>Proceedings of the American Mathematical Society</journal>
    <vol>15</vol>
    <year>1964</year>
    <page>758-765</page>
    <mr>MR0166452</mr>
    <score>100</score>
    <query_string>Cache/Br/Brauer,Nonlinear,Proceedings*,1964,1965</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Bridgland, T. F. Jr.</author>
    <title>Asymptotic behavior of the solutions of nonhomogeneous differential equations</title>
    <journal>Proceedings of the American Mathematical Society</journal>
    <vol>12</vol>
    <year>1961</year>
    <page>546-552</page>
    <mr>MR0126018</mr>
    <score>100</score>
    <query_string>Cache/Br/Bridgland,nonhomogeneous,Proceedings*,1961,1962</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Conti, R.</author>
    <title>Sulla "equivalenza asintotica" dei sistemi di equazioni differenziali ordinarie</title>
    <journal>Annali di Matematica pura ed applicata</journal>
    <ser>4</ser>
    <vol>41</vol>
    <year>1956</year>
    <page>95-104</page>
    <mr>MR0082004</mr>
    <score>100</score>
    <query_string>Cache/Co/Conti,``equivalenza,Annali*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Hale, J. K.; Stokes, A. P.</author>
    <title>Behavior of solutions near integral manifolds</title>
    <journal>Archive for Rational Mechanics and Analysis</journal>
    <vol>6</vol>
    <year>1960</year>
    <page>133-170</page>
    <mr>MR0118901</mr>
    <score>100</score>
    <query_string>Cache/Ha/Hale,solutions,Archive*,1960,1961</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Kato, J.</author>
    <title>The asymptotic behavior of the solutions of differential equations on the product space</title>
    <journal>The Japanese Journal of Mathematics</journal>
    <vol>32</vol>
    <year>1962</year>
    <page>51-85</page>
    <mr>MR0162019</mr>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Kato, J.</author>
    <title>The asymptotic relations of two systems of ordinary differential equations</title>
    <journal>Contributions to Differential Equations</journal>
    <vol>3</vol>
    <year>1964</year>
    <page>141-161</page>
    <mr>MR0163006</mr>
    <score>100</score>
    <query_string>Cache/Ka/Kato,asymptotic,Contributions*,1964,1965</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Levinson, N.</author>
    <title>The asymptotic behavior of a system of linear differential equations</title>
    <journal>American Journal of Mathematics</journal>
    <vol>68</vol>
    <year>1946</year>
    <page>1-6</page>
    <mr>MR0015181</mr>
    <score>100</score>
    <query_string>Cache/Le/Levinson,asymptotic,American*,1946,1947</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Massera, J. L.</author>
    <title>Contributions to stability theory</title>
    <journal>Annals of Mathematics</journal>
    <vol>64</vol>
    <year>1956</year>
    <page>182-206</page>
    <mr>MR0079179</mr>
    <score>100</score>
    <query_string>Cache/Ma/Massera,Contributions,Annals*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Olech, C.</author>
    <title>On the asymptotic behaviour of the solutions of a system of ordinary non-linear differential equations</title>
    <journal>Bulletin de l'Acad&#234;mie Polonaise des sciences, Cl. 3</journal>
    <ser>3</ser>
    <vol>4</vol>
    <year>1956</year>
    <page>555-561</page>
    <mr>MR0083069</mr>
    <query_string>Cache/Ol/Olech,asymptotic,Bulletin*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Onuchic, N.</author>
    <title>Relationships among the solutions of two systems of ofdinary differential equations</title>
    <journal>Michigan Mathematical Journal</journal>
    <vol>10</vol>
    <year>1963</year>
    <page>129-139</page>
    <mr>MR0165192</mr>
    <score>90</score>
    <query_string>Cache/On/Onuchic,Relationships,Michigan*,1963,1964</query_string>
  </article>

  <book>
    <bibitem>13</bibitem>
    <author>Sansone, G.; Conti, R.</author>
    <booktitle>Non-linear Differential Equations</booktitle>
    <publisher>Pargamon Press, Oxford</publisher>
    <year>1964</year>
    <mr>MR0177153</mr>
    <query_string>Cache/Sa/Sansone,Nonlinear,Pargamon*,1964,1965</query_string>
  </book>

  <article>
    <bibitem>14</bibitem>
    <author>Taam, C.-T.</author>
    <title>Asymptotic relations between systems of differential equations</title>
    <journal>Pacific Journal of Mathematics</journal>
    <vol>6</vol>
    <year>1956</year>
    <page>373-388</page>
    <mr>MR0080214</mr>
    <score>100</score>
    <query_string>Cache/Ta/Taam,Asymptotic,Pacific*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>15</bibitem>
    <author>Weyl, H.</author>
    <title>Comment on the preceding paper</title>
    <journal>American Journal of Mathematics</journal>
    <vol>68</vol>
    <year>1946</year>
    <page>7-12</page>
    <mr>MR0015182</mr>
    <score>100</score>
    <query_string>Cache/We/Weyl,preceding,American*,1946,1947</query_string>
  </article>

  <article>
    <bibitem>16</bibitem>
    <author>Wintner, A.</author>
    <title>Asymptotic equilibria</title>
    <journal>American Journal of Mathematics</journal>
    <vol>68</vol>
    <year>1946</year>
    <page>125-132</page>
    <mr>MR0014529</mr>
    <score>100</score>
    <query_string>Cache/Wi/Wintner,Asymptotic,American*,1946,1947</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Wintner, A.</author>
    <title>Asymptotic integration constants</title>
    <journal>American Journal of Mathematics</journal>
    <vol>68</vol>
    <year>1946</year>
    <page>553-559</page>
    <mr>MR0018310</mr>
    <query_string>Cache/Wi/Wintner,integration,ibid*,1946,1947</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Wintner, A.</author>
    <title>On linear asymptotic equilibria</title>
    <journal>American Journal of Mathematics</journal>
    <vol>71</vol>
    <year>1949</year>
    <page>853-858</page>
    <mr>MR0033413</mr>
    <query_string>Cache/Wi/Wintner,asymptotic,ibid*,1949,1950</query_string>
  </article>

  <fearticle>
    <bibitem>19</bibitem>
    <author>Yoshizawa, T.</author>
    <title>Liapunov's function and boundedness of solutions</title>
    <journal>Funkcialaj Ekvacioj</journal>
    <vol>2</vol>
    <year>1959</year>
    <page>95-142</page>
    <mr>MR0114981</mr>
<feart>0114981</feart>
    <query_string>Cache/Yo/Yoshizawa,boundedness,FunkcA|alaj*,1959,1960</query_string>
  </fearticle>

  <article>
    <bibitem>20</bibitem>
    <author>Yoshizawa, T.</author>
    <title>Asymptotic behavior of solutions of non-autonomous system near sets</title>
    <journal>Journal of Mathematics of Kyoto University</journal>
    <vol>1</vol>
    <year>1962</year>
    <page>303-323</page>
    <mr>MR0144029</mr>
    <score>100</score>
    <query_string>Cache/Yo/Yoshizawa,non-autonomous,Journal*,1962,1963</query_string>
  </article>

  <article>
    <bibitem>21</bibitem>
    <author>Yoshizawa, T.</author>
    <title>Stability and boundedness of systems</title>
    <journal>Archive for Rational Mechanics and Analysis</journal>
    <vol>6</vol>
    <year>1960</year>
    <page>409-421</page>
    <mr>MR0120431</mr>
    <score>100</score>
    <query_string>Cache/Yo/Yoshizawa,boundedness,Archive*,1960,1961</query_string>
  </article>

  <book>
    <bibitem>22</bibitem>
    <author>Zubov, V. I.</author>
    <booktitle>Methods of A.M. Liapunov and their applications</booktitle>
    <publisher>Leningrad University Press, Leningrad</publisher>
    <year>1957 (in Russian)</year>
    <mr>MR0086966</mr>
    <query_string>Cache/Zu/Zubov,applications,Leningrad*,1957,1958</query_string>
  </book>

</references>
</top_article>
