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<top_article>
 <mrnumber>MR1401650</mrnumber>
 <author>So, Joseph W.-H. and Yu, J. S. and Chen, Ming-Po</author>
 <author_utf8>Joseph W.-H. SO, J. S. YU and Ming-Po CHEN</author_utf8>
 <title>Asymptotic stability for scalar delay differential equations</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>39</volume>
 <year>1996</year>
 <page>1--17</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol39/fe39-1-1.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe39-001-017/fe39-001-017.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1401650</mathsci_link>
<fesi_info>
  <FILE>fe39-001-017</FILE>
  <YEAR>1996</YEAR>
  <TITLE>Asymptotic Stability for Scalar Delay Differential Equations</TITLE>
  <AUTHOR>SO, Joseph W.-H.; YU, J. S.; CHEN, Ming-Po</AUTHOR>
  <AUTHOR_utf8>SO, Joseph W.-H.; YU, J. S.; CHEN, Ming-Po</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Atkinson, F. V.; Haddock, J. R.</author>
    <title>Criteria for asymptotic constancy of solutions of functional differential equations</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>91</vol>
    <year>1983</year>
    <page>410-423</page>
    <mr>MR0690880</mr>
    <score>88</score>
    <query_string>Cache/At/Atkinson,asymptotic,J*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Bellman, R.</author>
    <title>Research problem: Functional differential equation</title>
    <journal>Bull. Amer. Math. Soc.</journal>
    <vol>71</vol>
    <year>1965</year>
    <page>495</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Be/Bellman,Functional,Bull*,1965,1966</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Burton, T. A.; Haddock, J. R.</author>
    <title>On the delay-differential equations $x'(t)+a(t)f(x(t-r(t)))=0$ and $x''(t)+a(t)f(x(t-r(t)))=0$</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>54</vol>
    <year>1976</year>
    <page>37-48</page>
    <mr>MR0399621</mr>
    <score>100</score>
    <query_string>Cache/Bu/Burton,x''(t)+a(t)f(x(t-r(t)))=0,J*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Cooke, K. L.</author>
    <title>Functional differential equations close to differential equations</title>
    <journal>Bull. Amer. Math. Soc.</journal>
    <vol>72</vol>
    <year>1966</year>
    <page>285-288</page>
    <mr>MR0221047</mr>
    <score>100</score>
    <query_string>Cache/Co/Cooke,Functional,Bull*,1966,1967</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Cooke, K. L.</author>
    <title>Asymptotic theory for the delay-differential equation $u'(t)=-au(t-r(u(t)))$</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>19</vol>
    <year>1967</year>
    <page>160-173</page>
    <mr>MR0213681</mr>
    <query_string>Cache/Co/Cooke,u'(t)=-au(t-r(u(t))),J*,1967,1968</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Cooke, K. L.</author>
    <title>Linear functional differential equations of asymptotic autonomous type</title>
    <journal>J. Differential Equations</journal>
    <vol>7</vol>
    <year>1970</year>
    <page>154-174</page>
    <mr>MR0255944</mr>
    <score>87</score>
    <query_string>Cache/Co/Cooke,functional,J*,1970,1971</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Cooke, K. L.; Yorke, J. A.</author>
    <title>Some equations modelling growth processes and gonorrhea epidemics</title>
    <journal>Math. Biosci.</journal>
    <vol>16</vol>
    <year>1973</year>
    <page>75-101</page>
    <mr>MR0312923</mr>
    <query_string>Cache/Co/Cooke,questions,Math*,1973,1974</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Gao, G.</author>
    <title>On the $\frac{3}{2}$ asymptotic stability of one-dimensional functional differential equations with unbounded delay</title>
    <journal>Kexue Tongbao</journal>
    <vol>38</vol>
    <year>1993</year>
    <page>683-686</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ga/Gao,one-dimensional,Kexue*,1993,1994</query_string>
  </article>

  <book>
    <bibitem>9</bibitem>
    <author>Gopalsamy, K.</author>
    <booktitle>Stability and Oscillations in Delay Differential Equations of Population Dynamics</booktitle>
    <publisher>Kluwer Academic Publishers, Boston</publisher>
    <year>1992</year>
    <mr>MR1163190</mr>
    <score>100</score>
    <query_string>Cache/Go/Gopalsamy,Oscillations,*,1992,1993</query_string>
    <page>xii+501</page>
  </book>

  <article>
    <bibitem>10</bibitem>
    <author>Haddock, J. R.</author>
    <title>On the asymptotic behavior of solutions of $x'(t)=-a(t)f(x(t-r(t)))$</title>
    <journal>SIAM J. Math. Anal.</journal>
    <vol>5</vol>
    <year>1974</year>
    <page>569-573</page>
    <mr>MR0348234</mr>
    <query_string>Cache/Ha/Haddock,x'(t)=-a(t)f(x(t-r(t))),SIAM*,1974,1975</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Haddock, J. R.; Kuang, Y.</author>
    <title>Asymptotic theory for a class of nonautonomous delay differential equations</title>
    <journal>J. Math. Anal. Appl</journal>
    <vol>168</vol>
    <year>1992</year>
    <page>147-162</page>
    <mr>MR1169854</mr>
    <score>100</score>
    <query_string>Cache/Ha/Haddock,nonautonomous,J*,1992,1993</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Haddock, J. R.; Terjeki, J.</author>
    <title>Liapunov-Razumikhin functions and invariance principle for functional differential equations</title>
    <journal>J. Differential Equations</journal>
    <vol>48</vol>
    <year>1983</year>
    <page>95-122</page>
    <mr>MR0692846</mr>
    <score>88</score>
    <query_string>Cache/Ha/Haddock,Liapunov-Razumikhin,J*,1983,1984</query_string>
  </article>

  <book>
    <bibitem>13</bibitem>
    <author>Hale, J. K.</author>
    <booktitle>Theory of Functional Differential Equations</booktitle>
    <publisher>Springer-Verlag, New York</publisher>
    <year>1977</year>
    <mr>MR0508721</mr>
    <score>100</score>
    <query_string>Cache/Ha/Hale,Functional,*,1977,1978</query_string>
    <page>x+365</page>
  </book>

  <article>
    <bibitem>14</bibitem>
    <author>Kaplan, J.; Sorg, M.; Yorke, J.</author>
    <title>Solutions of $x'(t)=f(x(t), x(t-L))$ have limits when f is an order relation</title>
    <journal>Nonlinear Anal.</journal>
    <vol>3</vol>
    <year>1979</year>
    <page>53-58</page>
    <mr>MR0520471</mr>
    <query_string>Cache/Ka/Kaplan,x'(t)=f(x(t),,Nonlinear*,1979,1980</query_string>
  </article>

  <book>
    <bibitem>15</bibitem>
    <author>Kuang, Y.</author>
    <booktitle>Delay Differential Equations with Applications in Population Dynamics</booktitle>
    <publisher>Academic Press, Boston</publisher>
    <year>1993</year>
    <mr>MR1218880</mr>
    <score>100</score>
    <query_string>Cache/Ku/Kuang,Delay,*,1993,1994</query_string>
    <page>xii+398</page>
  </book>

  <article>
    <bibitem>16</bibitem>
    <author>Ladas, G.; Sficas, Y. G.; Stavroulakis, I. P.</author>
    <title>Asymptotic behavior of solutions of retarded differential equations</title>
    <journal>Proc. Amer. Math. Soc.</journal>
    <vol>88</vol>
    <year>1983</year>
    <page>247-253</page>
    <mr>MR0695252</mr>
    <score>100</score>
    <query_string>Cache/La/Ladas,Asymptotic,Proc*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Slater, G. L.</author>
    <title>The differential-difference equation $w'(s)=g(s)[w(s-1)-w(s)]$</title>
    <journal>Proc. Roy. Soc. Edinburgh</journal>
    <ser>Sect. A</ser>
    <vol>78</vol>
    <year>1977</year>
    <page>41-55</page>
    <mr>MR0492749</mr>
    <score>75</score>
    <query_string>Cache/Sl/Slater,w'(s)=g(s)[w(s-1)-w(s)],Proc*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Yoneyama, T.</author>
    <title>On the stability for the delay-differential equation $x'(t)=-a(t)f(x(t-r(t)))$</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>120</vol>
    <year>1986</year>
    <page>271-275</page>
    <mr>MR0861919</mr>
    <score>77</score>
    <query_string>Cache/Yo/Yoneyama,x'(t)=-a(t)f(x(t-r(t))),J*,1986,1987</query_string>
  </article>

  <article>
    <bibitem>19</bibitem>
    <author>Yoneyama, T.</author>
    <title>On the $\frac{3}{2}$ stability theorem for one-dimensional delay-differential equations</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>125</vol>
    <year>1987</year>
    <page>161-173</page>
    <mr>MR0891356</mr>
    <score>90</score>
    <query_string>Cache/Yo/Yoneyama,delay-differential,J*,1987,1988</query_string>
  </article>

  <article>
    <bibitem>20</bibitem>
    <author>Yoneyama, T.; Sugie, J.</author>
    <title>Exponentially asymptotically stable dynamical systems</title>
    <journal>Appl. Anal.</journal>
    <vol>27</vol>
    <year>1988</year>
    <page>235-242</page>
    <mr>MR0922781</mr>
    <query_string>Cache/Yo/Yoneyama,asymptotically,Appl*,1988,1989</query_string>
  </article>

  <article>
    <bibitem>21</bibitem>
    <author>Yoneyama, T.</author>
    <title>The $\frac{3}{2}$ stability theorem for one-dimensional delay-differential equations with unbounded delay</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>165</vol>
    <year>1992</year>
    <page>133-143</page>
    <mr>MR1151064</mr>
    <score>90</score>
    <query_string>Cache/Yo/Yoneyama,delay-differential,J*,1992,1993</query_string>
  </article>

  <fearticle>
    <bibitem>22</bibitem>
    <author>Yoneyama, T.; Sugie, J.</author>
    <title>On the stability region of differential equations with two delays</title>
    <journal>Funkcial. Ekvac.</journal>
    <vol>31</vol>
    <year>1988</year>
    <page>233-240</page>
    <mr>MR0961751</mr>
<feart>0961751</feart>
    <score>100</score>
    <query_string>Cache/Yo/Yoneyama,stability,Funkcial*,1988,1989</query_string>
  </fearticle>

  <article>
    <bibitem>23</bibitem>
    <author>Yoneyama, T.; Sugie, J.</author>
    <title>Perturbing uniformly stable nonlinear scalar-delay differential equations</title>
    <journal>Nonlinear Anal.</journal>
    <vol>12</vol>
    <year>1988</year>
    <page>303-311</page>
    <mr>MR0928564</mr>
    <score>85</score>
    <query_string>Cache/Yo/Yoneyama,scalar-delay,Nonlinear*,1988,1989</query_string>
  </article>

  <article>
    <bibitem>24</bibitem>
    <author>Yorke, J. A.</author>
    <title>Asymptotic stability for one dimensional differential delay equations</title>
    <journal>J. Differential Equations</journal>
    <vol>7</vol>
    <year>1970</year>
    <page>189-202</page>
    <mr>MR0252799</mr>
    <score>85</score>
    <query_string>Cache/Yo/Yorke,dimensional,J*,1970,1971</query_string>
  </article>

</references>
</top_article>
