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<top_article>
 <mrnumber>MR0865215</mrnumber>
 <author>Cooke, Kenneth L. and van den Driessche, Pauline</author>
 <author_utf8>Kenneth L. COOKE and Pauline van den DRIESSCHE</author_utf8>
 <title>On zeroes of some transcendental equations</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>29</volume>
 <year>1986</year>
 <page>77--90</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol29/fe29-1-6.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe29-077-090/fe29-077-090.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0865215</mathsci_link>
<fesi_info>
  <FILE>fe29-077-090</FILE>
  <YEAR>1986</YEAR>
  <TITLE>On Zeroes of Some Transcendental Equations</TITLE>
  <AUTHOR>COOKE, Kenneth L.; van den DRIESSCHE, Pauline</AUTHOR>
  <AUTHOR_utf8>COOKE, Kenneth L.; van den DRIESSCHE, Pauline</AUTHOR_utf8>
</fesi_info>

<references>
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    <bibitem>1</bibitem>
    <author>Bellman, R.; Cooke, K. L.</author>
    <booktitle>Differential-Difference Equations</booktitle>
    <publisher>Academic Press, New York</publisher>
    <year>1963</year>
    <mr>MR0147745</mr>
    <score>100</score>
    <query_string>Cache/Be/Bellman,Differential-Difference,*,1963,1964</query_string>
    <page>xvi+462</page>
  </book>

  <article>
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    <author>Braddock, R. D.; van den Driessche, P.</author>
    <title>On a two lag differential delay equation</title>
    <journal>J. Austral. Math. Soc., B</journal>
    <ser>B</ser>
    <vol>24</vol>
    <year>1983</year>
    <page>292-317</page>
    <mr>MR0680841</mr>
    <score>83</score>
    <query_string>Cache/Br/Braddock,two,J*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Busenberg, S.; Cooke, K. L.</author>
    <title>The effect of integral conditions in certain equations modelling epidemics and population growth</title>
    <journal>J. Math. Biology</journal>
    <vol>10</vol>
    <year>1980</year>
    <page>13-32</page>
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    <score>100</score>
    <query_string>Cache/Bu/Busenberg,conditions,J*,1980,1981</query_string>
  </article>

  <article>
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    <author>Chuma, J.; van den Driessche, P.</author>
    <title>A general second-order transcendental equation</title>
    <journal>App. Math. Notes</journal>
    <vol>5</vol>
    <year>1980</year>
    <page>85-96</page>
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    <score>100</score>
    <query_string>Cache/Ch/Chuma,transcendental,App*,1980,1981</query_string>
  </article>

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    <author>Cooke, K. L.; Grossman, Z.</author>
    <title>Discrete delay, distributed delay and stability switches</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>86</vol>
    <year>1982</year>
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    <score>100</score>
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  </article>

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    <author>Datko, R.</author>
    <title>A procedure for determination of the exponential stability of certain differential-difference equations</title>
    <journal>Quart. Appl. Math.</journal>
    <vol>36</vol>
    <year>1978</year>
    <page>279-292</page>
    <mr>MR0508772</mr>
    <score>100</score>
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  </article>

  <book>
    <bibitem>7</bibitem>
    <author>Hale, J.</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>8</bibitem>
    <author>Hale, J.</author>
    <title>Nonlinear oscillations in equations with delays</title>
    <journal>in Nonlinear Oscillations in Biology, F. C. Hoppensteadt (ed.), Amer. Math. Society, Providence</journal>
    <year>1979</year>
    <page>157-185</page>
    <mr>MR0564916</mr>
    <query_string>Cache/Ha/Hale,oscillations,*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Hastings, A.</author>
    <title>Age dependent predation is not a simple process. I. Continuous time models</title>
    <journal>Theor. Pop. Biol.</journal>
    <vol>23</vol>
    <year>1983</year>
    <page>347-362</page>
    <mr>MR0711912</mr>
    <score>90</score>
    <query_string>Cache/Ha/Hastings,Continuous,Theor*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Hethcote, H. W.; Stech, H. W.; van den Driessche, P.</author>
    <title>Stability analysis for models of diseases without immunity</title>
    <journal>J. Math. Biology</journal>
    <vol>13</vol>
    <year>1981</year>
    <page>185-198</page>
    <mr>MR0661676</mr>
    <score>100</score>
    <query_string>Cache/He/Hethcote,Stability,J*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Lee, M. S.; Hsu, C. S.</author>
    <title>On the $\tau$-decomposition method of stability analysis for retarded dynamical systems</title>
    <journal>SIAM J. Control</journal>
    <vol>7</vol>
    <year>1969</year>
    <page>242-259</page>
    <mr>MR0437884</mr>
    <score>100</score>
    <query_string>Cache/Le/Lee,the,SIAM*,1969,1970</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Mahaffy, J. M.</author>
    <title>A test for stability of linear differential delay equations</title>
    <journal>Quart. Appl. Math.</journal>
    <vol>40</vol>
    <year>1982</year>
    <page>193-202</page>
    <mr>MR0666674</mr>
    <score>100</score>
    <query_string>Cache/Ma/Mahaffy,stability,Quart*,1982,1983</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>May, R. M.</author>
    <title>Time delay versus stability in population models with two and three trophic levels</title>
    <journal>Ecology</journal>
    <vol>54</vol>
    <year>1973</year>
    <page>315-325</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ma/May,population,Ecology*,1973,1974</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Mufti, I. H.</author>
    <title>A note on the stability of an equation of third order with time lag</title>
    <journal>IEEE Trans. Automatic Control</journal>
    <vol>AC-9</vol>
    <year>1964</year>
    <page>190-191</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Mu/Mufti,stability,IEEE*,1964,1965</query_string>
  </article>

  <article>
    <bibitem>15</bibitem>
    <author>Nussbaum, R. D.; Potter, A. J. B.</author>
    <title>Cyclic differential equations and period three solutions of differential delay equations</title>
    <journal>J. Differential Equations</journal>
    <vol>46</vol>
    <year>1982</year>
    <page>379-409</page>
    <mr>MR0681230</mr>
    <score>90</score>
    <query_string>Cache/Nu/Nussbaum,Cyclic,J*,1982,1983</query_string>
  </article>

  <article>
    <bibitem>16</bibitem>
    <author>Ruiz-Claeyssen, J.</author>
    <title>Effect of delays on functional differential equations</title>
    <journal>J. Differential Equations</journal>
    <vol>20</vol>
    <year>1976</year>
    <page>404-440</page>
    <mr>MR0435553</mr>
    <score>100</score>
    <query_string>Cache/Ru/Ruiz-Claeyssen,functional,J*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Stech, H. W.</author>
    <title>The Hopf bifurcation: a stability result and application</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>71</vol>
    <year>1979</year>
    <page>525-546</page>
    <mr>MR0548781</mr>
    <score>100</score>
    <query_string>Cache/St/Stech,bifurcation:,J*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>St&#233;p&#225;n, B.</author>
    <title>Stability investigation of retarded differential equations</title>
    <journal>Acta Tech. Acad. Sci. Hungar.</journal>
    <vol>90</vol>
    <year>1980</year>
    <page>109-132</page>
    <mr>MR0643536</mr>
    <score>100</score>
    <query_string>Cache/St/St\'ep\'an,investigation,Acta*,1980,1981</query_string>
  </article>

  <article>
    <bibitem>19</bibitem>
    <author>Thowsen, A.</author>
    <title>An analytic stability test for a class of time-delay systems</title>
    <journal>IEEE Trans. Automatic Control</journal>
    <vol>AC-26</vol>
    <year>1981</year>
    <page>735-736</page>
    <mr>MR0630809</mr>
    <score>100</score>
    <query_string>Cache/Th/Thowsen,time-delay,IEEE*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>20</bibitem>
    <author>van den Driessche, P.</author>
    <title>A cyclic epidemic model with temporary immunity and vital dynamics</title>
    <journal>Proceedings of the International Conference on Population Biology, ed. H. I. Freedman and C. Strobeck, Springer-Verlag</journal>
    <year>1983</year>
    <page>433-440</page>
  </article>

</references>
</top_article>
