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<top_article>
 <mrnumber>MR1774367</mrnumber>
 <author>Trofimchuk, Sergei I. and Ivanov, Anatoli F.</author>
 <author_utf8>Sergei I. TROFIMCHUK and Anatoli F. IVANOV</author_utf8>
 <title>Weak hyperbolicity of delay differential equations and the               3/2-type stability conditions</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>43</volume>
 <year>2000</year>
 <page>39--56</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol43/fe43-1-3.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/no-infty-pdf.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1774367</mathsci_link>
<fesi_info>
  <FILE>43-39</FILE>
  <YEAR>2000</YEAR>
  <TITLE>Weak Hyperbolicity of Delay Differential Equations and the 3/2-Type Stability Conditions</TITLE>
  <AUTHOR>Sergei I. TROFIMCHUK and Anatoli F. IVANOV</AUTHOR>
  <AUTHOR_utf8>Sergei I. TROFIMCHUK and Anatoli F. IVANOV</AUTHOR_utf8>
</fesi_info>

<references>

<article>
<bibitem>1</bibitem>
<author>Busenberg, S.; Cooke, K.</author>
<title>Stability conditions for linear nonautonomous delay differential equations</title>
<journal>Quart. Appl. Math.</journal>
<vol>42</vol>
<year>1984</year>
<page>295-306</page>
<mr>MR0757167</mr>
</article>

<book>
<bibitem>2</bibitem>
<author>Dunford, N.; Schwartz, J. T.</author>
<booktitle>Linear Operators, vol. 1</booktitle>
<publisher>Interscience Publishers, Inc., New York</publisher>
<year>1958</year>
<mr>MR0117523</mr>
</book>

<book>
<bibitem>3</bibitem>
<author>Gopalsamy, K.</author>
<booktitle>Stability and oscillations in delay differential equations of population dynamics</booktitle>
<publisher>Mathematics and its Applications, 74. Kluwer</publisher>
<year>1992</year>
<mr>MR1163190</mr>
</book>

<article>
<bibitem>4</bibitem>
<author>Gopalsamy, K.; Trofimchuk, S.</author>
<title>Almost periodic solution of Lasota-Wazewska type delay differential equation</title>
<journal>J. Math. Anal. Appl.</journal>
<vol>237</vol>
<year>1999</year>
<page>106-127</page>
<mr>MR1708165</mr>
</article>

<book>
<bibitem>5</bibitem>
<author>Hale, J. K.; Verdun Lunel, S. M.</author>
<booktitle>Introduction to Functional Differential Equations</booktitle>
<publisher>Springer-Verlag</publisher>
<year>1993</year>
<mr>MR1243878</mr>
</book>

<book>
<bibitem>6</bibitem>
<author>Kolmanovskii, V.; Myshkis, A.</author>
<booktitle>Applied theory of functional differential equations</booktitle>
<publisher>Mathematics and its Applications, 85, Kluwer</publisher>
<year>1992</year>
<mr>MR1256486</mr>
</book>

<fearticle>
<bibitem>7</bibitem>
<author>Krisztin., T.</author>
<title>On stability properties for one-dimensional functional differential equations</title>
<journal>Funkcial. Ekvac.</journal>
<vol>34</vol>
<year>1991</year>
<page>241-256</page>
<mr>MR1130462</mr>
<feart>1130462</feart>
</fearticle>

<article>
<bibitem>8</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>
</article>

<article>
<bibitem>9</bibitem>
<author>Latushkin, Y.; Montgomery-Smith, S.; Randolph, T.</author>
<title>Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with banach fibers</title>
<journal>J. Differential Equations</journal>
<vol>125</vol>
<year>1996</year>
<page>73-116</page>
<mr>MR1376061</mr>
</article>

<article>
<bibitem>10</bibitem>
<author>Malygina, V. V.</author>
<title>Some criteria for stability equations with a lagging argument</title>
<journal>Differents. Uravn.</journal>
<vol>28</vol>
<year>1992</year>
<page>1716-1723</page>
<mr>MR1208401</mr>
</article>

<article>
<bibitem>11</bibitem>
<author>Sacker, R. J.; Sell, R. A.</author>
<title>A spectral theory for linear differential systems</title>
<journal>J. Differential Equations</journal>
<vol>27</vol>
<year>1978</year>
<page>320-358</page>
<mr>MR0501182</mr>
</article>

<article>
<bibitem>12</bibitem>
<author>Sacker, R. J.; Sell, R. A.</author>
<title>Dichotomies for linear evolutionary equations in Banach spaces</title>
<journal>J. Differential Equations</journal>
<vol>113</vol>
<year>1994</year>
<page>17-67</page>
<mr>MR1296160</mr>
</article>

<book>
<bibitem>13</bibitem>
<author>Sell, G. R.</author>
<booktitle>Topological dynamics and ordinary differential equations</booktitle>
<publisher>Van Nostrand Reinhold Mathematical Studies, No. 33. Van Nostrand Reinhold Co., London</publisher>
<year>1971</year>
<mr>MR0442908</mr>
</book>

<fearticle>
<bibitem>14</bibitem>
<author>So, J. W.-H.; Yu J. S.; Chen, Ming-Po.</author>
<title>Asymptotic stability for scalar delay differential equations</title>
<journal>Funkcial. Ekvac.</journal>
<vol>39</vol>
<year>1996</year>
<page>l-17</page>
<mr>MR1401650</mr>
<feart>1401650</feart>
</fearticle>

<article>
<bibitem>15</bibitem>
<author>Yoneyama, T.</author>
<title>On the 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>
</article>

<article>
<bibitem>16</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>
</article>

<other>
<bibitem>17</bibitem>
<raw_data>Ivanov, A.; Liz, E.; Trofwchuk, S., Halanay inequality, Yorke 3/2 stability criterion and differential equations with maxima, SITMS Research Report No. 40/99, 1999, submitted</raw_data>
<mr>MR1904953</mr>
</other>


</references>
</top_article>
