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<top_article>
 <mrnumber>MR1006085</mrnumber>
 <author>Burton, T. A. and Casal, A. and Somolinos, A.</author>
 <author_utf8>T. A. BURTON, A. CASAL and A. SOMOLINOS</author_utf8>
 <title>Upper and lower bounds for Liapunov functionals</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>32</volume>
 <year>1989</year>
 <page>23--55</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol32/fe32-1-2.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE31-34-en_KML/fe32-023-055/fe32-023-055.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1006085</mathsci_link>
<fesi_info>
  <FILE>fe32-023-055</FILE>
  <YEAR>1989</YEAR>
  <TITLE>Upper and Lower Bounds for Liapunov Functionals</TITLE>
  <AUTHOR>BURTON, T. A.; CASAL, A.; SOMOLINOS, A.</AUTHOR>
  <AUTHOR_utf8>BURTON, T. A.; CASAL, A.; SOMOLINOS, A.</AUTHOR_utf8>
</fesi_info>

<references>
  <other>
    <bibitem>1</bibitem>
    <raw_data>Becker, L.; Burton, T. A.; Zhang, S., Functional differential equations and Jensen's inequality, J. Math. Anal. Appl., in press</raw_data>
    <mr>MR0988325</mr>
  </other>

  <book>
    <bibitem>2</bibitem>
    <author>Br&#233;zis, Haim</author>
    <booktitle>Analyse fonctionnelle, Th&#233;orie et applications</booktitle>
    <publisher>Collection Mathematiques Appliqu&#233;es pour la Maitrise, Masson, Paris</publisher>
    <year>1983</year>
    <mr>MR0697382</mr>
    <score>100</score>
    <query_string>Cache/Br/Br&#233;zis,fonctionnelle,,*,1983,1984</query_string>
    <page>xiv+234</page>
  </book>

  <article>
    <bibitem>3</bibitem>
    <author>Burton, T. A.</author>
    <title>Uniform asymptotic stability in functional differential equations</title>
    <journal>Proc. Amer. Math. Soc.</journal>
    <vol>68</vol>
    <year>1978</year>
    <page>195-199</page>
    <mr>MR0481371</mr>
    <score>100</score>
    <query_string>Cache/Bu/Burton,asymptotic,Proc*,1978,1979</query_string>
  </article>

  <book>
    <bibitem>4</bibitem>
    <author>Burton, T. A.</author>
    <booktitle>Volterra Integral and Differential Equations</booktitle>
    <publisher>Academic Press, Orlando, Florida</publisher>
    <year>1983</year>
    <mr>MR0715428</mr>
    <score>100</score>
    <query_string>Cache/Bu/Burton,Volterra,*,1983,1984</query_string>
    <page>x+313</page>
  </book>

  <book>
    <bibitem>5</bibitem>
    <author>Burton, T. A.</author>
    <booktitle>Stability and Periodic Solutions of Ordinary and Functional-Differential Equations</booktitle>
    <publisher>Academic Press, Orlando, Florida</publisher>
    <year>1985</year>
    <mr>MR0837654</mr>
    <query_string>Cache/Bu/Burton,Dijfferential,*,1985,1986</query_string>
  </book>

  <other>
    <bibitem>6</bibitem>
    <raw_data>Burton, T. A.; Hatvani, L., Stability theorems for nonautonomous functional-differential equations by Liaponov functionals, Tohoku Math. J., in press</raw_data>
<mr>MR0985304</mr>
  </other>

  <article>
    <bibitem>7</bibitem>
    <author>Burton, T. A.; Zhang, S.</author>
    <title>Unified boundedness, periodicity, and stability in ordinary and functional-differential equations</title>
    <journal>Anal. Mat. Pur. Appl.</journal>
    <vol>CXLV</vol>
    <year>1986</year>
    <page>129-158</page>
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    <query_string>Cache/Bu/Burton,boundedness,,Anal*,1986,1987</query_string>
  </article>

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    <title>Stability conditions for linear non-autonomous delay differential equations</title>
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    <vol>42</vol>
    <year>1984</year>
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  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Cooke, K. L.</author>
    <title>Stability of nonautonomous delay differential equations by Liapunov functionals</title>
    <journal>In "Infinite Dimensional System" (F. Kappel and W. Schappacher, eds.), Springer Lecture Notes 1076, Springer, Berlin</journal>
<page>41-52</page>
<year>1984</year>
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    <query_string>Cache/Co/Cooke,nonautonomousdelay,*,1984,1994</query_string>
  </article>

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    <year>1962</year>
    <page>401-426</page>
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  </article>

  <book>
    <bibitem>11</bibitem>
    <author>El'sgol'ts, L. E.</author>
    <booktitle>Introduction to the Theory of Differential Equations with Deviating Arguments</booktitle>
    <publisher>Holden-Day, San Francisco</publisher>
    <year>1966</year>
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  </book>

  <book>
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    <author>Hale, J.</author>
    <booktitle>Functional Differential Equations</booktitle>
    <publisher>Springer, New York</publisher>
    <year>1971</year>
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    <score>100</score>
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    <page>viii+238</page>
  </book>

  <book>
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    <booktitle>Theory of Functional Differential Equations</booktitle>
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    <year>1977</year>
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  <book>
    <bibitem>15</bibitem>
    <author>Krasovskii, N. N.</author>
    <booktitle>Stability of Motion</booktitle>
    <publisher>Stanford University Press</publisher>
    <year>1963</year>
    <mr>MR0147744</mr>
    <page>vi+188</page>
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    <bibitem>16</bibitem>
    <author>Lakshmikantham, V.; Leela, S.</author>
    <booktitle>Differential and Integral Inequalities, Vol. I</booktitle>
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  <article>
    <bibitem>17</bibitem>
    <author>Murakami, S.</author>
    <title>Asymptotic behavior of solutions of some differential equations</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>109</vol>
    <year>1985</year>
    <page>534-545</page>
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  </article>

  <book>
    <bibitem>18</bibitem>
    <author>Natanson, I. P.</author>
    <booktitle>Theory of Functions of a Real Variable, Vol. II</booktitle>
    <vol>II</vol>
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  <book>
    <bibitem>19</bibitem>
    <author>Yoshizawa, T.</author>
    <booktitle>Stability Theory by Liapunov's Second Method</booktitle>
    <publisher>Math. Soc. Japan, Tokyo</publisher>
    <year>1966</year>
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    <page>viii+223</page>
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  <other>
    <bibitem>20</bibitem>
    <raw_data>Yoshizawa, T., Asymptotic behaviors of solutions of differential equations, preprint</raw_data>
<mr>MR0890596</mr>
  </other>

</references>
</top_article>
