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<top_article>
 <mrnumber>MR1245340</mrnumber>
 <author>Aizicovici, Sergiu and Papageorgiou, Nikolaos S.</author>
 <author_utf8>Sergiu AIZICOVICI and Nikolaos S. PAPAGEORGIOU</author_utf8>
 <title>Multivalued Volterra integral equations in Banach spaces</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>36</volume>
 <year>1993</year>
 <page>275--301</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol36/fe36-2-4.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe36-275-301/fe36-275-301.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1245340</mathsci_link>
<fesi_info>
  <FILE>fe36-275-301</FILE>
  <YEAR>1993</YEAR>
  <TITLE>Multivalued Volterra Integral Equations in Banach Spaces</TITLE>
  <AUTHOR>AIZICOVICI, Sergiu; PAPAGEORGIOU, Nikolaos S.</AUTHOR>
  <AUTHOR_utf8>AIZICOVICI, Sergiu; PAPAGEORGIOU, Nikolaos S.</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Ahmed, N.</author>
    <title>Existence of optimal controls for a class of systems governed by differential inclusions in Banach spaces</title>
    <journal>J. Optim. Theory Appl.</journal>
    <vol>50</vol>
    <year>1986</year>
    <page>213-237</page>
    <mr>MR0857234</mr>
    <score>100</score>
    <query_string>Cache/Ah/Ahmed,Existence,J*,1986,1987</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Aizicovici, S.</author>
    <title>An integro-differential equation with a discontinuous nonlinearity</title>
    <journal>Ann. St. Univ. "Al. I. Cuza", Iasi</journal>
    <vol>26</vol>
    <year>1980</year>
    <page>353-360</page>
    <mr>MR0610125</mr>
    <query_string>Cache/Ai/Aizicovici,integrodifferential,Ann*,1980,1981</query_string>
  </article>

  <other>
    <bibitem>3</bibitem>
    <raw_data>Aizicovici, S.; Papageorgiou, N. S., Optimal control and relaxation of systems governed by Volterra integral equations, (to appear)</raw_data>
<mr>MR1389285</mr>
  </other>

  <book>
    <bibitem>4</bibitem>
    <author>Attouch, H.</author>
    <booktitle>Variational Convergence for Functions and Operators</booktitle>
    <publisher>Appl. Math. ser. Pitman, Boston</publisher>
    <year>1984</year>
    <mr>MR0773850</mr>
    <score>100</score>
    <query_string>Cache/At/Attouch,Variational,*,1984,1985</query_string>
    <page>xiv+423</page>
  </book>

  <article>
    <bibitem>5</bibitem>
    <author>Attouch, H.; Damlamian, A.</author>
    <title>On multivalued evolution equations in Hilbert spaces</title>
    <journal>Israel J. Math.</journal>
    <vol>12</vol>
    <year>1972</year>
    <page>373-390</page>
    <mr>MR0346609</mr>
    <score>100</score>
    <query_string>Cache/At/Attouch,multivalued,Israel*,1972,1973</query_string>
  </article>

  <book>
    <bibitem>6</bibitem>
    <author>Aubin, J. P.; Cellina, A.</author>
    <booktitle>Differential Inclusions</booktitle>
    <publisher>Springer, Berlin</publisher>
    <year>1984</year>
    <mr>MR0755330</mr>
    <score>100</score>
    <query_string>Cache/Au/Aubin,*,*,1984,1985</query_string>
    <page>xiii+342</page>
  </book>

  <article>
    <bibitem>7</bibitem>
    <author>Avgerinos, E. P.; Papageorgiou, N. S.</author>
    <title>Non-convex perturbations of evolution equations with $m$-dissipative operators in Banach spaces</title>
    <journal>Comment. Math. Univ. Carolinae</journal>
    <vol>30</vol>
    <year>1989</year>
    <page>657-664</page>
    <mr>MR1045894</mr>
    <score>90</score>
    <query_string>Cache/Av/Avgerinos,perturbations,Comment*,1989,1990</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Baras, P.</author>
    <title>Compacit&#233; de l'operateur $f\to u$ solution d'une &#233;quation non-lineaire $\frac{du}{dt}+Au \ni f$</title>
    <journal>C.R. Acad. Sci. Paris</journal>
    <vol>286</vol>
    <year>1978</year>
    <page>1113-1116</page>
    <mr>MR0493554</mr>
    <score>83</score>
    <query_string>Cache/Ba/Baras,*,C*,1978,1979</query_string>
  </article>

  <other>
    <bibitem>9</bibitem>
    <raw_data>Benilan, Ph., Equations d'Evolution dans un Espace de Banach Quelconque et Applications, Th&#232;se, Universit&#233; de Paris XI, Orsay, 1972</raw_data>
  </other>

  <book>
    <bibitem>10</bibitem>
    <author>Brezis, H.</author>
    <booktitle>Operateurs Maximaux Monotones et Semigroupes de Contractions dans les Espaces de Hilberr</booktitle>
    <publisher>North Holland, Amsterdam</publisher>
    <year>1973</year>
    <mr>MR0348562</mr>
    <score>83</score>
    <query_string>Cache/Br/Brezis,Contractions,*,1973,1974</query_string>
    <page>vi+183</page>
  </book>

  <article>
    <bibitem>11</bibitem>
    <author>Chang, K. C.</author>
    <title>The obstacle problem and partial differential equations with discontinuous nonlinearities</title>
    <journal>Commun. Pure and Appl. Math.</journal>
    <vol>33</vol>
    <year>1980</year>
    <page>117-146</page>
    <mr>MR0562547</mr>
    <score>100</score>
    <query_string>Cache/Ch/Chang,nonlinearities,Commun*,1980,1981</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Chuong, P. V.</author>
    <title>Existence of solutions for random multivalued integral equations</title>
    <journal>J. Integral Equations</journal>
    <vol>7</vol>
    <year>1984</year>
    <page>143-173</page>
    <mr>MR0756552</mr>
    <query_string>Cache/Ch/Chuong,multivalued,J*,1984,1985</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Crandall, M.; Nohel, J.</author>
    <title>An abstract functional differential equation and a related Volterra equation</title>
    <journal>Israel J. Math.</journal>
    <vol>29</vol>
    <year>1978</year>
    <page>313-328</page>
    <mr>MR0477910</mr>
    <score>90</score>
    <query_string>Cache/Cr/Crandall,functional,Israel*,1978,1979</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Delahaye, J. P.; Denel, J.</author>
    <title>The continuities of the point-to-set maps, definitions and equivalences</title>
    <journal>Math. Programming Study</journal>
    <vol>10</vol>
    <year>1979</year>
    <page>8-12</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/De/Delahaye,continuities,Math*,1979,1980</query_string>
  </article>

  <book>
    <bibitem>15</bibitem>
    <author>Diestel, J.; Uhl, J. J.</author>
    <booktitle>Vector Measures</booktitle>
    <publisher>Math. Surveys Vol. 15, A.M.S., Providence, R.I.</publisher>
    <year>1977</year>
    <mr>MR0453964</mr>
    <score>100</score>
    <query_string>Cache/Di/Diestel,Measures,*,1977,1978</query_string>
    <page>xiii+322</page>
  </book>

  <book>
    <bibitem>16</bibitem>
    <author>Dunford, N.; Schwartz, J.</author>
    <booktitle>Linear Operators I</booktitle>
    <publisher>Wiley, New York</publisher>
    <year>1958</year>
    <mr>MR0117523</mr>
    <page>xiv+858</page>
  </book>

  <article>
    <bibitem>17</bibitem>
    <author>Fryszkowski, A.</author>
    <title>Continuous selections for a class of non-convex multivalued maps</title>
    <journal>Studia Math.</journal>
    <vol>78</vol>
    <year>1983</year>
    <page>163-174</page>
    <mr>MR0730018</mr>
    <score>88</score>
    <query_string>Cache/Fr/Fryszkowski,multivalued,Studia*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Glashoff, K.; Sprekels, J.</author>
    <title>The regulation of temperature by thermostats and set valued integral equations</title>
    <journal>J. Integral Equations</journal>
    <vol>4</vol>
    <year>1981</year>
    <page>95-112</page>
    <mr>MR0654076</mr>
    <score>90</score>
    <query_string>Cache/Gl/Glashoff,temperature,J*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>19</bibitem>
    <author>Gutman, S.</author>
    <title>Evolutions governed by $m$-accretive plus compact operators</title>
<journal>Nonlinear Analysis-TMA</journal>
    <vol>7</vol>
    <year>1983</year>
    <page>707-715</page>
    <mr>MR0707079</mr>
    <query_string>Cache/Gu/Gutman,Analysis-TMA,*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>20</bibitem>
    <author>Hiai, F.; Umegaki, H.</author>
    <title>Integrals, conditional expectations and martingales of multivalued functions</title>
    <journal>J. Multiv. Anal.</journal>
    <vol>7</vol>
    <year>1977</year>
    <page>149-182</page>
    <mr>MR0507504</mr>
    <score>87</score>
    <query_string>Cache/Hi/Hiai,expectations,J*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>21</bibitem>
    <author>Kenmochi, N.</author>
    <title>Some nonlinear parabolic variational inequalities</title>
    <journal>Israel J. Math.</journal>
    <vol>22</vol>
    <year>1975</year>
    <page>304-331</page>
    <mr>MR0399662</mr>
    <score>100</score>
    <query_string>Cache/Ke/Kenmochi,inequalities,Israel*,1975,1976</query_string>
  </article>

  <article>
    <bibitem>22</bibitem>
    <author>Kenmochi, N.</author>
    <title>Solvability of nonlinear equations with time dependent constraints and applications</title>
    <journal>Bull. Fac-Education Chiba Univ.</journal>
    <vol>30</vol>
    <year>1980</year>
    <page>1-87</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ke/Kenmochi,applications,Bull*,1980,1981</query_string>
  </article>

  <article>
    <bibitem>23</bibitem>
    <author>Kiffe, T.</author>
    <title>A discontinuous Volterra integral equation</title>
    <journal>J. Integral Equations</journal>
    <vol>1</vol>
    <year>1979</year>
    <page>193-200</page>
    <mr>MR0540826</mr>
    <score>100</score>
    <query_string>Cache/Ki/Kiffe,discontinuous,J*,1979,1980</query_string>
  </article>

  <fearticle>
    <bibitem>24</bibitem>
    <author>Kubo, M.</author>
    <title>Characterization of a class of evolution operators by time dependent subdifferentials</title>
    <journal>Funkcial. Ekvac.</journal>
    <vol>32</vol>
    <year>1989</year>
    <page>301-321</page>
    <mr>MR1019436</mr>
<feart>1019436</feart>
    <score>81</score>
    <query_string>Cache/Ku/Kubo,Characterization,Funkcial*,1989,1990</query_string>
  </fearticle>

  <article>
    <bibitem>25</bibitem>
    <author>Lyapin, L.</author>
    <title>Hammerstein inclusions</title>
    <journal>Differential Equations</journal>
    <vol>12</vol>
    <year>1976</year>
    <page>638-643</page>
    <mr>MR0428140</mr>
    <query_string>Cache/Ly/Lyapin,Hammerstein,Differential*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>26</bibitem>
    <author>Mitidieri, E.; Vrabie, I.</author>
    <title>Differential inclusions governed by non-convex perturbations of $m$-accretive operators</title>
    <journal>Differential and Integral Equations</journal>
    <vol>2</vol>
    <year>1989</year>
    <page>525-531</page>
    <mr>MR0996758</mr>
    <score>88</score>
    <query_string>Cache/Mi/Mitidieri,perturbations,Differential*,1989,1990</query_string>
  </article>

  <article>
    <bibitem>27</bibitem>
    <author>Moreau, J. J.</author>
    <title>Evolution problem associated with a moving convex set in a Hilbert space</title>
    <journal>J. Differential Equations</journal>
    <vol>26</vol>
    <year>1977</year>
    <page>347-374</page>
    <mr>MR0508661</mr>
    <score>100</score>
    <query_string>Cache/Mo/Moreau,associated,J*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>28</bibitem>
    <author>Mosco, U.</author>
    <title>Convergence of convex sets and solutions of variational inequalities</title>
    <journal>Advances in Math.</journal>
    <vol>3</vol>
    <year>1969</year>
    <page>510-585</page>
    <mr>MR0298508</mr>
    <score>100</score>
    <query_string>Cache/Mo/Mosco,inequalities,Advances*,1969,1970</query_string>
  </article>

  <article>
    <bibitem>29</bibitem>
    <author>Otani, M.</author>
    <title>Nonmonotone perturbations of nonlinear parabolic equations associated with subdifferential operators; Cauchy problems</title>
    <journal>J. Differential Equations</journal>
    <vol>46</vol>
    <year>1982</year>
    <page>268-299</page>
    <mr>MR0675911</mr>
    <score>83</score>
    <query_string>Cache/Ot/Otani,subdifferential,J*,1982,1983</query_string>
  </article>

  <article>
    <bibitem>30</bibitem>
    <author>Papageorgiou, N. S.</author>
    <title>Volterra integral inclusions in Banach spaces</title>
    <journal>J. Integral Equations and Applic.</journal>
    <vol>1</vol>
    <year>1988</year>
    <page>65-81</page>
    <mr>MR0955163</mr>
    <score>100</score>
    <query_string>Cache/Pa/Papageorgiou,inclusions,J*,1988,1989</query_string>
  </article>

  <article>
    <bibitem>31</bibitem>
    <author>Papageorgiou, N. S.</author>
    <title>Existence and convergence results for integral inclusions in Banach spaces</title>
    <journal>J. Integral Equations and Applic.</journal>
    <vol>2</vol>
    <year>1988</year>
    <page>265-285</page>
    <mr>MR0978744</mr>
    <score>100</score>
    <query_string>Cache/Pa/Papageorgiou,convergence,J*,1988,1989</query_string>
  </article>

  <article>
    <bibitem>32</bibitem>
    <author>Papageorgiou, N. S.</author>
    <title>Convergence theorems for Banach space valued integrable multifunctions</title>
    <journal>Intern. J. Math. and Math. Sci.</journal>
    <vol>10</vol>
    <year>1987</year>
    <page>433-442</page>
    <mr>MR0896595</mr>
    <score>100</score>
    <query_string>Cache/Pa/Papageorgiou,multifunctions,Intern*,1987,1988</query_string>
  </article>

  <article>
    <bibitem>33</bibitem>
    <author>Papageorgiou, N. S.</author>
    <title>Nonconvex and nonmonotone perturbations of evolution inclusions of subdifferential type</title>
    <journal>Periodica Math. Hungarica</journal>
    <vol>21</vol>
    <year>1990</year>
    <page>167-177</page>
    <mr>MR1070954</mr>
    <score>100</score>
    <query_string>Cache/Pa/Papageorgiou,subdifferential,Periodica*,1990,1991</query_string>
  </article>

  <article>
    <bibitem>34</bibitem>
    <author>Papageorgiou, N. S.</author>
    <title>Optimal control of nonlinear evolution inclusions</title>
    <journal>J. Optim. Theory Appl.</journal>
    <vol>67</vol>
    <year>1990</year>
    <page>321-354</page>
    <mr>MR1080139</mr>
    <score>100</score>
    <query_string>Cache/Pa/Papageorgiou,inclusions,J*,1990,1991</query_string>
  </article>

  <article>
    <bibitem>35</bibitem>
    <author>Papageorgiou, N. S.</author>
    <title>Measurable multifunctions and their applications to convex integral functionals</title>
    <journal>Intern. J. Math and Math. Sci.</journal>
    <vol>12</vol>
    <year>1989</year>
    <page>175-192</page>
    <mr>MR0973087</mr>
    <score>100</score>
    <query_string>Cache/Pa/Papageorgiou,multifunctions,Intern*,1989,1990</query_string>
  </article>

  <article>
    <bibitem>36</bibitem>
    <author>Papageorgiou, N. S.</author>
    <title>On multivalued evolution equations in Hilbert spaces involving time varying subdifferentials</title>
    <journal>Math. Japonica</journal>
    <vol>34</vol>
    <year>1989</year>
    <page>287-296</page>
    <mr>MR0994590</mr>
    <score>100</score>
    <query_string>Cache/Pa/Papageorgiou,subdifferentials,Math*,1989,1990</query_string>
  </article>

  <article>
    <bibitem>37</bibitem>
    <author>Papageorgiou, N. S.</author>
    <title>On evolution inclusions associated with time dependent convex subdifferentials</title>
    <journal>Comment. Math. Univ. Carolinae</journal>
    <vol>31</vol>
    <year>1990</year>
    <page>517-527</page>
    <mr>MR1078486</mr>
    <score>100</score>
    <query_string>Cache/Pa/Papageorgiou,subdifferentials,Comment*,1990,1991</query_string>
  </article>

  <fearticle>
    <bibitem>38</bibitem>
    <author>Papageorgiou, N. S.</author>
    <title>Volterra integrodifferential inclusions in reflexive Banach spaces</title>
    <journal>Funkcial. Ekvac.</journal>
    <vol>34</vol>
    <year>1991</year>
    <page>257-277</page>
    <mr>MR1130463</mr>
<feart>1130463</feart>
    <score>100</score>
    <query_string>Cache/Pa/Papageorgiou,integrodifferential,Funkcial*,1991,1992</query_string>
  </fearticle>

  <article>
    <bibitem>39</bibitem>
    <author>Ragimkhanov, R.</author>
    <title>The existence of solutions to an integral equation with multivalued right hand side</title>
    <journal>Siberian Math. J.</journal>
    <vol>17</vol>
    <year>1976</year>
    <page>533-536</page>
    <mr>MR0417714</mr>
    <query_string>Cache/Ra/Ragimkhanov,multivalued,Siberian*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>40</bibitem>
    <author>Rennolet, C.</author>
    <title>Existence and boundedness results for abstract nonlinear Volterra equations of nonconvolution type</title>
    <journal>J. Integral Equations</journal>
    <vol>3</vol>
    <year>1980</year>
    <page>137-151</page>
    <mr>MR0623829</mr>
    <score>100</score>
    <query_string>Cache/Re/Rennolet,nonconvolution,J*,1980,1981</query_string>
  </article>

  <article>
    <bibitem>41</bibitem>
    <author>Salvadori, A.</author>
    <title>On the $M$-convergence for integral functionals on $L_X^p$</title>
    <journal>Atti Seminario Fisica Univ. Modena</journal>
    <vol>33</vol>
    <year>1984</year>
    <page>137-154</page>
    <mr>MR0819082</mr>
    <score>80</score>
    <query_string>Cache/Sa/Salvadori,M-convergence,Atti*,1984,1985</query_string>
  </article>

  <article>
    <bibitem>42</bibitem>
    <author>Shuzhong, S.</author>
    <title>Nagumo type conditions for partial differential inclusions</title>
    <journal>Nonlinear Analysis-TMA</journal>
    <vol>12</vol>
    <year>1988</year>
    <page>951-967</page>
    <mr>MR0960638</mr>
    <query_string>Cache/Sh/Shuzhong,conditions,Nonlinear*,1988,1989</query_string>
  </article>

  <article>
    <bibitem>43</bibitem>
    <author>Vrabie, I.</author>
    <title>Compactness methods for an abstract nonlinear Volterra integro-differential equation</title>
    <journal>Nonlinear Analysis-TMA</journal>
    <vol>5</vol>
    <year>1981</year>
    <page>355-371</page>
    <mr>MR0611648</mr>
    <query_string>Cache/Vr/Vrabie,integrodifferential,Nonlinear*,1981,1982</query_string>
  </article>

  <book>
    <bibitem>44</bibitem>
    <author>Vrabie, I.</author>
    <booktitle>Compactness Methods for Nonlinear Evolutions</booktitle>
    <publisher>Pitman, Harlow</publisher>
    <year>1987</year>
    <mr>MR0932730</mr>
    <score>100</score>
    <query_string>Cache/Vr/Vrabie,Compactness,*,1987,1988</query_string>
    <page>xviii+325</page>
  </book>

  <article>
    <bibitem>45</bibitem>
    <author>Wagner, D.</author>
    <title>Survey of measurable selection theorems</title>
    <journal>SIAM J. Control Optim.</journal>
    <vol>15</vol>
    <year>1977</year>
    <page>859-903</page>
    <mr>MR0486391</mr>
    <score>100</score>
    <query_string>Cache/Wa/Wagner,measurable,SIAM*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>46</bibitem>
    <author>Watanabe, J.</author>
    <title>On certain nonlinear evolution equations</title>
    <journal>J. Math. Soc. Japan</journal>
    <vol>25</vol>
    <year>1973</year>
    <page>446-463</page>
    <mr>MR0326522</mr>
    <score>100</score>
    <query_string>Cache/Wa/Watanabe,nonlinear,J*,1973,1974</query_string>
  </article>

  <article>
    <bibitem>47</bibitem>
    <author>Yamada, Y.</author>
    <title>On evolution equations governed by subdifferential operators</title>
    <journal>J. Fac. Sci. Univ. Tokyo</journal>
    <vol>23</vol>
    <year>1976</year>
    <page>491-515</page>
    <mr>MR0425701</mr>
    <score>85</score>
    <query_string>Cache/Ya/Yamada,subdifferential,J*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>48</bibitem>
    <author>Yotsutani, S.</author>
    <title>Evolution equations associated with subdifferentials</title>
    <journal>J. Math. Soc. Japan</journal>
    <vol>31</vol>
    <year>1978</year>
    <page>623-646</page>
    <mr>MR0544681</mr>
    <score>83</score>
    <query_string>Cache/Yo/Yotsutani,subdifferentials,J*,1978,1979</query_string>
  </article>

</references>
</top_article>
