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<top_article>
 <mrnumber>MR0417710</mrnumber>
 <author>DeFranco, R. J.</author>
 <author_utf8>R. J. DEFRANCO</author_utf8>
 <title>Gronwall's inequality for systems of multiple Volterra               integral equations</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>19</volume>
 <year>1976</year>
 <page>1--9</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol19/fe19-1-1.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE11-20-en_KML/fe19-001-009/fe19-001-009.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0417710</mathsci_link>
<fesi_info>
  <FILE>fe19-001-009</FILE>
  <YEAR>1976</YEAR>
  <TITLE>Gronwall's Inequality for Systems of Multiple Volterra Integral Equations</TITLE>
  <AUTHOR>DEFRANCO, R. J.</AUTHOR>
  <AUTHOR_utf8>DEFRANCO, R. J.</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Gronwall, T. H.</author>
    <title>Note on the derivatives with respect to a parameter of the solutions of a system of differential equations</title>
    <journal>Ann. of Math. (2)</journal>
    <ser>2</ser>
    <vol>20</vol>
    <year>1919</year>
    <page>292-296</page>
    <mr>MR1502565</mr>
    <score>100</score>
    <query_string>Cache/Gr/Gronwall,derivatives,Ann*,1919,1920</query_string>
  </article>

  <book>
    <bibitem>2</bibitem>
    <author>Coppel, W. A.</author>
    <booktitle>Stability and Asymptotic Behavior of Differential Equations</booktitle>
    <publisher>D. C. Heath and Co., Boston</publisher>
    <year>1965</year>
    <page>19</page>
    <mr>MR0190463</mr>
    <score>100</score>
    <query_string>Cache/Co/Coppel,Asymptotic,*,1965,1966</query_string>
  </book>

  <book>
    <bibitem>3</bibitem>
    <author>Halanay, A.</author>
    <booktitle>Differential Equations, Stability, Oscillations, Time Lags</booktitle>
    <publisher>Academic Press, New York and London</publisher>
    <year>1966</year>
    <page>19</page>
    <mr>MR0216103</mr>
    <score>83</score>
    <query_string>Cache/Ha/Halanay,Oscillations,,*,1966,1967</query_string>
  </book>

  <article>
    <bibitem>4</bibitem>
    <author>Chu, S. C.; Metcalf, F. T.</author>
    <title>On Gronwall's Inequality</title>
    <journal>Proc. Amer. Math. Soc.</journal>
    <vol>18</vol>
    <year>1967</year>
    <page>439-440</page>
    <mr>MR0212529</mr>
    <score>100</score>
    <query_string>Cache/Ch/Chu,Gronwall's,Proc*,1967,1968</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Snow, D. R.</author>
    <title>A two-independent variable Gronwall-type inequality</title>
    <journal>Third Sympos. on Inequalities, Academic Press, New York</journal>
    <year>1971</year>
    <page>333-340</page>
    <mr>MR0338537</mr>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Snow, D. R.</author>
    <title>Gronwall's inequality for systems of partial differential equations in two independent variables</title>
    <journal>Proc. Amer. Math. Soc.</journal>
    <vol>33</vol>
    <year>1972</year>
    <page>46-54</page>
    <mr>MR0298188</mr>
    <score>100</score>
    <query_string>Cache/Sn/Snow,Gronwall's,Proc*,1972,1973</query_string>
  </article>

  <other>
    <bibitem>7</bibitem>
    <raw_data>Young, E. C., Gronwall's inequality in $n$-independent variables, to appear</raw_data>
    <mr>MR0320493</mr>
  </other>

  <book>
    <bibitem>8</bibitem>
    <author>Hille, E.</author>
    <booktitle>Lectures on Ordinary Differential Equations</booktitle>
    <publisher>Addison-Wesley Publishing Co., Reading, Mass.</publisher>
    <year>1969</year>
    <page>18</page>
    <mr>MR0249698</mr>
    <score>100</score>
    <query_string>Cache/Hi/Hille,Lectures,*,1969,1970</query_string>
  </book>

  <article>
    <bibitem>9</bibitem>
    <author>Chu, S. C.; Diaz, J. B.</author>
    <title>A fixed point theorem for "in the large" application of the contraction principle</title>
    <journal>Atti. Acad. Sci. Torino Cl. Sci. Fis. Mat. Natur.</journal>
    <vol>99</vol>
    <year>1964-1965</year>
    <page>351-363</page>
    <mr>MR0177317</mr>
    <score>100</score>
    <query_string>Cache/Ch/Chu,application,Atti*,1964,1965</query_string>
  </article>

  <book>
    <bibitem>10</bibitem>
    <author>Tricomi, F. G.</author>
    <booktitle>Integral Equations</booktitle>
    <publisher>Interscience Publishers, Inc., New York</publisher>
    <year>1957</year>
    <mr>MR0094665</mr>
    <query_string>Cache/Tr/Tricomi,lntegral,*,1957,1958</query_string>
  </book>

  <article>
    <bibitem>11</bibitem>
    <author>Conlan, J.; Diaz, J. B.</author>
    <title>Existence of solutions of an n-th order hyperbolic partial differential equation</title>
    <journal>Contribution to Differential Eqs.</journal>
    <vol>2</vol>
    <year>1963</year>
    <page>277-289</page>
    <mr>MR0155106</mr>
    <score>100</score>
    <query_string>Cache/Co/Conlan,hyperbolic,Contribution*,1963,1964</query_string>
  </article>

  <other>
    <bibitem>12</bibitem>
    <raw_data>Sternberg, H. M., The solution of the characteristic and the Cauchy boundary value problems for the Bianchi partial differential equation in $n$ independent variables by a generalization of Riemann's method, Ph. D. Dissertation, University of Maryland, 1960</raw_data>
  </other>

  <book>
    <bibitem>13</bibitem>
    <author>Walter, W.</author>
    <booktitle>Differential and Integral lnequalities</booktitle>
    <publisher>Springer-Verlag, Berlin</publisher>
    <year>1970</year>
    <mr>MR0271508</mr>
    <score>75</score>
    <query_string>Cache/Wa/Walter,*,*,1970,1971</query_string>
  </book>

</references>
</top_article>
