<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f3.xsl"?>
<top_article>
 <mrnumber>MR1774366</mrnumber>
 <author>Gil{\cprime}, Michael I.</author>
 <author_utf8>Michael I. GIL'</author_utf8>
 <title>Stability of linear time-variant functional differential               equations in a Hilbert space</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>43</volume>
 <year>2000</year>
 <page>31--38</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol43/fe43-1-2.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=MR1774366</mathsci_link>
<fesi_info>
  <FILE>43-31</FILE>
  <YEAR>2000</YEAR>
  <TITLE>Stability of Linear Time-Variant Functional Differential Equations in a Hilbert Space</TITLE>
  <AUTHOR>Michael I. GIL'</AUTHOR>
  <AUTHOR_utf8>Michael I. GIL'</AUTHOR_utf8>
</fesi_info>

<references>

<book>
<bibitem>1</bibitem>
<author>Boodwin, B. G.</author>
<booktitle>Temporary Organization in Cells</booktitle>
<publisher>Ac. Press, New York</publisher>
<year>1963</year>
</book>

<article>
<bibitem>2</bibitem>
<author>Burton, T. A.; Bo Zhang</author>
<title>A priory bounds and stability in the retarded nonlinear wave equation</title>
<journal>J. of Math. Anal. Appl.</journal>
<vol>166</vol>
<year>1992</year>
<page>456-485</page>
<mr>MR1160939</mr>
</article>

<article>
<bibitem>3</bibitem>
<author>Chen, G.; Grimmer, R.</author>
<title>Integral equations as evolution equations</title>
<journal>J. Diff. Eqs.</journal>
<vol>45</vol>
<year>1982</year>
<page>53-74</page>
<mr>MR0662486</mr>
</article>

<book>
<bibitem>4</bibitem>
<author>Cushing, J. M.</author>
<booktitle>Integrodilerential Equations and Delay Models in Population Dynamics</booktitle>
<publisher>Lecture Notes in Biomathematics, No 20, Springer-Verlag, Berlin/New York</publisher>
<year>1977</year>
<mr>MR0496838</mr>
</book>

<article>
<bibitem>5</bibitem>
<author>Da Prato, G.; Iannelli, M.</author>
<title>On a method for studying abstract evolution equations</title>
<journal>Comm. PDE</journal>
<vol>1</vol>
<year>1976</year>
<page>585-608</page>
<mr>MR0442750</mr>
</article>

<book>
<bibitem>6</bibitem>
<author>Daleckii, Yu L.; Krein, M. G.</author>
<booktitle>Stability of Solutions of Differential Equations in Banach space</booktitle>
<publisher>Amer. Math. Soc., Providence, R. I.</publisher>
<year>1974</year>
<mr>MR0352639</mr>
</book>

<article>
<bibitem>7</bibitem>
<author>Friecskue, G.</author>
<title>Convergence to equilibrium for delay-diffusion equations with small delay</title>
<journal>J. Dynamic Differential Equations</journal>
<vol>5</vol>
<year>1993</year>
<page>89-103</page>
<mr>MR1205455</mr>
</article>

<article>
<bibitem>8</bibitem>
<author>Friedman, A.; Shinbrot, M.</author>
<title>Volterra integral equations in Banach space</title>
<journal>Trans. Amer. Math. Soc.</journal>
<vol>126</vol>
<year>1967</year>
<page>131-179</page>
<mr>MR0206754</mr>
</article>

<book>
<bibitem>9</bibitem>
<author>Gil', M. I.</author>
<booktitle>Norm Estimations for Operator-valued Functions and Applications</booktitle>
<publisher>Marcel Dekker, Inc. New York</publisher>
<year>1995</year>
<mr>MR1352684</mr>
</book>

<article>
<bibitem>10</bibitem>
<author>Gil', M. I.</author>
<title>Stability of linear evolution equations in lattice normed spaces</title>
<journal>Zeitschrift fur Analysis</journal>
<vol>15</vol>
<year>1996</year>
<page>949-959</page>
<mr>MR1422650</mr>
</article>

<article>
<bibitem>11</bibitem>
<author>Gil', M. I.</author>
<title>On global stability of parabolic systems with delay</title>
<journal>Applicable Analysis</journal>
<vol>69</vol>
<year>1998</year>
<page>57-71</page>
<mr>MR1708187</mr>
</article>

<article>
<bibitem>12</bibitem>
<author>Gil', M. I.</author>
<title>On the generalized wazewski and Lozinskii inequalities for semilinear abstract differential-delay equations</title>
<journal>J. of Inequal. and Appl.</journal>
<vol>2</vol>
<year>1998</year>
<page>255-267</page>
<mr>MR1671667</mr>
</article>

<book>
<bibitem>13</bibitem>
<author>Gil', M. I.</author>
<booktitle>Stability of Finite and Infinite Dimensional Systems</booktitle>
<publisher>Kluwer Academic Publishers, Boston-Dordrecht-London</publisher>
<year>1998</year>
<mr>MR1666431</mr>
</book>

<article>
<bibitem>14</bibitem>
<author>Henriquez, H. R.</author>
<title>Regulator problem for linear distributed control systems with delay in outputs</title>
<journal>In the book by F. Clement and G. Lumer (eds), Evolution Equations, Control theory and Biomathematics, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Inc. New York</journal>
<year>1995</year>
<page>259-273</page>
<mr>MR1254904</mr>
</article>

<article>
<bibitem>15</bibitem>
<author>Izobov, N. A.</author>
<title>Linear systems of ordinary differential equations</title>
<journal>Itogi Nauki i Tekhniki. Mat. Analis</journal>
<vol>12</vol>
<year>1974</year>
<page>71-146. (in Russian)</page>
<mr>MR0402152</mr>
</article>

<book>
<bibitem>16</bibitem>
<author>Kolmanovskii, V.; Myshkis, A.</author>
<booktitle>Applied Theory of Functional Differential Equations</booktitle>
<publisher>Kluwer Academic Publishers, London</publisher>
<year>1992</year>
<mr>MR1256486</mr>
</book>

<article>
<bibitem>17</bibitem>
<author>Kuang, Y.; Smith, H. L.</author>
<title>Global stability in diffusive delay Lotka-Volterra systems</title>
<journal>Differential Integral Equations</journal>
<vol>4</vol>
<year>1991</year>
<page>117-128</page>
<mr>MR1079614</mr>
</article>

<article>
<bibitem>18</bibitem>
<author>Lenhart, S. M.; Travis, C. C.</author>
<title>Global stability of a biological model with time delay</title>
<journal>Proc Amer Math. Soc.</journal>
<vol>96</vol>
<year>1986</year>
<page>75-78</page>
<mr>MR0813814</mr>
</article>

<article>
<bibitem>19</bibitem>
<author>Luckhaus, S.</author>
<title>Global boundedness for a delay-differential equation</title>
<journal>Trans. Amer. Math. Soc.</journal>
<vol>294</vol>
<year>1986</year>
<page>767-774</page>
<mr>MR0825736</mr>
</article>

<article>
<bibitem>20</bibitem>
<author>Murakami, S.</author>
<title>Stable equilibrium points of some diffusive functional differential equations</title>
<journal>Nonlinear Analysis. Theory, Methods and Applications</journal>
<vol>25</vol>
<year>1995</year>
<page>1037-1043</page>
<mr>MR1350725</mr>
</article>

<book>
<bibitem>21</bibitem>
<author>Pao, C. V.</author>
<booktitle>Nonlinear Parabolic and Elliptic Equations</booktitle>
<publisher>Plenum Press, New York</publisher>
<year>1992</year>
<mr>MR1212084</mr>
</book>

<article>
<bibitem>22</bibitem>
<author>Pao, C. V.; Mahaffy, J. M.</author>
<title>Qualitative analysis of a coupled reaction-diffusion model in biology with time delays</title>
<journal>J. Math. Anal. Appl.</journal>
<vol>109</vol>
<year>1985</year>
<page>355-371</page>
<mr>MR0802901</mr>
</article>

<book>
<bibitem>23</bibitem>
<author>Pr&#252;ss, J.</author>
<booktitle>Evolutionary Integral Equations and Applications</booktitle>
<publisher>Birkh&#228;user, Basel</publisher>
<year>1993</year>
<mr>MR1238939</mr>
</book>

<book>
<bibitem>24</bibitem>
<author>Tanabe, H.</author>
<booktitle>Equations of Evolution</booktitle>
<publisher>Pitman, London</publisher>
<year>1979</year>
<mr>MR0533824</mr>
</book>

<book>
<bibitem>25</bibitem>
<author>Tanabe, H.</author>
<booktitle>Functional Analytic Methods for Partial Differential Equations</booktitle>
<publisher>Marcel Dekker, Inc. New York</publisher>
<year>1997</year>
<mr>MR1413304</mr>
</book>

<book>
<bibitem>26</bibitem>
<author>Vrabie, I. I.</author>
<booktitle>Compactness Methods for Nonlinear Evolutions</booktitle>
<publisher>Pitman, New York</publisher>
<year>1987</year>
<mr>MR0932730</mr>
</book>

<article>
<bibitem>27</bibitem>
<author>Winter, A.</author>
<title>Asymptotic integration constant</title>
<journal>Amer. J. Math.</journal>
<vol>68</vol>
<year>1946</year>
<page>125-132</page>
<mr>MR0018310</mr>
</article>

<book>
<bibitem>28</bibitem>
<author>Wu, J.</author>
<booktitle>Theory and Applications of Partial Functional Differential Equations</booktitle>
<publisher>Springer-Verlag, New York</publisher>
<year>1996</year>
<mr>MR1415838</mr>
</book>


</references>
</top_article>
