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<top_article>
 <mrnumber>MR0162021</mrnumber>
 <author>Yoshizawa, Taro</author>
 <author_utf8>Taro YOSHIZAWA</author_utf8>
 <title>Stability of sets and perturbed system</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>5</volume>
 <year>1963</year>
 <page>31--69</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol05/fe05-2.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE01-10-en_KML/fe05-031-069/fe05-031-069.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0162021</mathsci_link>
<fesi_info>
  <FILE>fe05-031-069</FILE>
  <YEAR>1962</YEAR>
  <TITLE>Stability of Sets and Perturbed System</TITLE>
  <AUTHOR>YOSHIZAWA, Taro</AUTHOR>
  <AUTHOR_utf8>YOSHIZAWA, Taro</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Antosiewicz, H. A.</author>
    <title>Stable systems of differential equations with integrable perturbation term</title>
    <journal>J. London Math. Soc.</journal>
    <vol>31</vol>
    <year>1956</year>
    <page>208-212</page>
    <mr>MR0079178</mr>
    <score>100</score>
    <query_string>Cache/An/Antosiewicz,systems,J*,1956,1957</query_string>
  </article>

  <book>
    <bibitem>2</bibitem>
    <author>Cesari, L.</author>
    <booktitle>Asymptotic behavior and stability problems in ordinary differential equations</booktitle>
    <publisher>Ergebn. d. Math., N. F. H. 16, Springer</publisher>
    <year>1959</year>
    <mr>MR0118904</mr>
    <score>100</score>
    <query_string>Cache/Ce/Cesari,Asymptotic,*,1959,1960</query_string>
    <page>vii+271</page>
  </book>

  <book>
    <bibitem>3</bibitem>
    <author>Coddington, E. A.; Levinson, N.</author>
    <booktitle>Theory of ordinary differential equations</booktitle>
    <publisher>New York, McGraw-Hill</publisher>
    <year>1955</year>
    <mr>MR0069338</mr>
    <score>100</score>
    <query_string>Cache/Co/Coddington,ordinary,*,1955,1956</query_string>
    <page>xii+429</page>
  </book>

  <book>
    <bibitem>4</bibitem>
    <author>Hahn, W.</author>
    <booktitle>Theorie und Anwendung der direkten Methoden von Liapunov</booktitle>
    <publisher>Ergebn d. Math., N. F. H. 23, Springer</publisher>
    <year>1959</year>
    <mr>MR0106314</mr>
    <score>87</score>
    <query_string>Cache/Ha/Hahn,Anwendung,*,1959,1960</query_string>
    <page>vii+142</page>
  </book>

  <other>
    <bibitem>5</bibitem>
    <raw_data>Hale, J. K., Asymptotic behavior of the solutions of differential-difference equations, Proc. of International Symposium on Nonlinear Vibrations in Kiev (to appear)</raw_data>
    <page>000</page>
    <mr>MR0160015</mr>
    <query_string>Cache/Ha/Hale,differential-difference,Proc*,1957,1967</query_string>
  </other>

  <article>
    <bibitem>6</bibitem>
    <author>Hale, J. K.; Stokes, A. P.</author>
    <title>Behavior of solutions near integral manifolds</title>
    <journal>Arch. Rat. Mech. Anal.</journal>
    <vol>6</vol>
    <year>1960</year>
    <page>133-170</page>
    <mr>MR0118901</mr>
    <query_string>Cache/Ha/Hale,manifold,s,,Rat*,1960,1961</query_string>
  </article>

  <book>
    <bibitem>7</bibitem>
    <author>Krasovskii, N. N.</author>
    <booktitle>Some problems in the theory of stability of motion</booktitle>
    <publisher>Moscow</publisher>
    <year>1959</year>
    <mr>MR0106313</mr>
  </book>

  <article>
    <bibitem>8</bibitem>
    <author>LaSalle, J. P.</author>
    <title>The extent of asymptotic stability</title>
    <journal>Proc. Nat. Acad. Sci.</journal>
    <vol>46</vol>
    <year>1960</year>
    <page>363-365</page>
    <mr>MR0113014</mr>
    <score>100</score>
    <query_string>Cache/La/LaSalle,asymptotic,Proc*,1960,1961</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>LaSalle, J. P.</author>
    <title>Some extensions of Liapunov's second method</title>
    <journal>IRE Transactions on Circuit Theory</journal>
    <vol>CT-7</vol>
    <year>1960</year>
    <page>520-527</page>
    <mr>MR0118902</mr>
    <query_string>Cache/La/LaSalle,extensions,IRE*,1961,1962</query_string>
  </article>

  <book>
    <bibitem>10</bibitem>
    <author>LaSalle, J. P.; Lefschetz, S.</author>
    <booktitle>Stability by Liapunov's direct method with applications</booktitle>
    <publisher>Academic Press, New York</publisher>
    <year>1961</year>
    <mr>MR0132876</mr>
    <score>85</score>
    <query_string>Cache/La/LaSalle,applications,*,1961,1962</query_string>
    <page>vi+134</page>
  </book>

  <book>
    <bibitem>11</bibitem>
    <author>Lefschetz, S.</author>
    <booktitle>Differential equations, Geometric theory</booktitle>
    <publisher>New York, Interscience</publisher>
    <year>1957</year>
    <mr>MR0094488</mr>
    <score>75</score>
    <query_string>Cache/Le/Lefschetz,*,*,1957,1958</query_string>
    <page>x+364</page>
  </book>

  <article>
    <bibitem>12</bibitem>
    <author>Lefschetz, S.</author>
    <title>Liapunov and stability in dynamical systems</title>
    <journal>Boletin de la Sociedad Mat. Mexicana</journal>
    <vol>3</vol>
    <year>1958</year>
    <page>25-39</page>
    <mr>MR0098223</mr>
    <score>100</score>
    <query_string>Cache/Le/Lefschetz,stability,Mat*,1958,1959</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Levin, J. J.</author>
    <title>On the global asymptotic behavior of nonlinear systems of differential equations</title>
    <journal>Arch. Rat. Mech. Anal.</journal>
    <vol>6</vol>
    <year>1960</year>
    <page>65-74</page>
    <mr>MR0119525</mr>
    <score>100</score>
    <query_string>Cache/Le/Levin,asymptotic,Arch*,1960,1961</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Levin, J. J.; Nohel, J. A.</author>
    <title>Global asymptotic stability for nonlinear systems of differential equations and applications to reactor dynamics</title>
    <journal>Arch. Rat. Mech. Anal.</journal>
    <vol>5</vol>
    <year>1960</year>
    <page>194-211</page>
    <mr>MR0119524</mr>
    <score>100</score>
    <query_string>Cache/Le/Levin,asymptotic,Arch*,1960,1961</query_string>
  </article>

  <book>
    <bibitem>15</bibitem>
    <author>Liapounoff, A. A.</author>
    <booktitle>Probl&#232;me g&#233;n&#233;ral de la stabilit&#233; du mouvement</booktitle>
    <ser>Annals of Math. Studies</ser>
    <vol>17</vol>
    <publisher>Annals of Math. Studies No. 17, Princeton Univ. Press, Princeton</publisher>
    <year>1947</year>
    <mr>MR0021186</mr>
    <query_string>Cache/Li/Liapounoff,*,*,1949,1950</query_string>
  </book>

  <article>
    <bibitem>16</bibitem>
    <author>Markus, L.</author>
    <title>Asymptotically autonomous differential systems</title>
    <ser>Annals of Math. Studies</ser>
    <journal>Contributions to the theory of nonlinear oscillations III, Annals of Math. Studies No. 36, Princeton Univ. Press, Princeton</journal>
    <year>1956</year>
    <page>17-29</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ma/Markus,Asymptotically,*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Massera, J. L.</author>
    <title>Contributions to stability theory</title>
    <journal>Ann. of Math.</journal>
    <vol>64</vol>
    <year>1956</year>
    <page>182-206</page>
    <mr>MR0079179</mr>
    <score>100</score>
    <query_string>Cache/Ma/Massera,Contributions,Ann*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Opial, Z.</author>
    <title>Sur la d&#233;pendence des solutions d'un syst&#232;me d'&#233;quations diff&#233;rentielles de leurs seconds membres, Application aux syst&#232;mes presque autonomes</title>
    <journal>Annales Polonici Math.</journal>
    <vol>8</vol>
    <year>1960</year>
    <page>75-89</page>
    <mr>MR0113011</mr>
    <query_string>Cache/Op/Opial,Sur,Application*,1960,1961</query_string>
  </article>

  <book>
    <bibitem>19</bibitem>
    <author>Sansone G.; Conti, R.</author>
    <booktitle>Equazioni differenziali non lineari</booktitle>
    <ser>Monografie Mat</ser>
    <publisher>Monografie Mat. III, Rome</publisher>
    <year>1956</year>
    <mr>MR0088607</mr>
    <score>100</score>
    <query_string>Cache/Co/Conti,differenziali,*,1956,1957</query_string>
    <page>xix+647</page>
  </book>

  <other>
    <bibitem>20</bibitem>
    <raw_data>Seibert, P., Prolongations and generalized Liapunov functions, RIAS Technical Report 61-7, 1961</raw_data>
<mr>MR0162024</mr>
  </other>

  <fearticle>
    <bibitem>21</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>
    <score>100</score>
    <query_string>Cache/Yo/Yoshizawa,boundedness,Funkcialaj*,1959,1960</query_string>
  </fearticle>

  <article>
    <bibitem>22</bibitem>
    <author>Yoshizawa, T.</author>
    <title>Asymptotic behavior of solutions of non-autonomous system near sets</title>
    <journal>J. Math. Kyoto Univ.</journal>
    <vol>1</vol>
    <year>1962</year>
    <page>303-323</page>
    <mr>MR0144029</mr>
    <score>100</score>
    <query_string>Cache/Yo/Yoshizawa,non-autonomous,J*,1962,1963</query_string>
  </article>

  <other>
    <bibitem>23</bibitem>
    <raw_data>Yoshizawa, T., Asymptotic behavior of solutions of a system of differential equations, Contributions to Differential Equations, Vol. 1 (to appear)</raw_data>
    <mr>MR0148991</mr>
  </other>

</references>
</top_article>
