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 <mrnumber>MR0803403</mrnumber>
 <author>Butler, G. J. and Erbe, L. H.</author>
 <author_utf8>G. J. BUTLER and L. H. ERBE</author_utf8>
 <title>Oscillation theory for second order differential systems with               functionally commutative matrix coefficients</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>28</volume>
 <year>1985</year>
 <page>47--55</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol28/fe28-1-4.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe28-047-055/fe28-047-055.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0803403</mathsci_link>
<fesi_info>
  <FILE>fe28-047-055</FILE>
  <YEAR>1985</YEAR>
  <TITLE>Oscillation Theory for Second Order Differential Systems with Functionally Commutative Matrix Coefficients</TITLE>
  <AUTHOR>BUTLER, G. J.; ERBE, L. H.</AUTHOR>
  <AUTHOR_utf8>BUTLER, G. J.; ERBE, L. H.</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Atkinson, F. V.</author>
    <title>On second order non-linear oscillation</title>
    <journal>Pacific J. Math.</journal>
    <vol>5</vol>
    <year>1955</year>
    <page>643-647</page>
    <mr>MR0072316</mr>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Belohorec, S.</author>
    <title>Oscillatory solutions of certain nonlinear differential equations of the second order</title>
    <journal>Mat. &#268;asopis Sloven. Akad. Vied.</journal>
    <vol>11</vol>
    <year>1961</year>
    <page>250-255</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Be/Belohorec,Oscillatory,Mat*,1961,1962</query_string>
  </article>

  <other>
    <bibitem>3</bibitem>
    <raw_data>Butler, G. J.; Erbe, L. H., Oscillation results for second order differential systems, to appear</raw_data>
    <mr>MR0819208</mr>
  </other>

  <article>
    <bibitem>4</bibitem>
    <author>Drazin, M. P.; Dungey, J. W.; Greuenberg, K. W.</author>
    <title>Some theorems on commutative matrices</title>
    <journal>J. London Math. Soc.</journal>
    <vol>25</vol>
    <year>1950</year>
    <page>221-228</page>
    <mr>MR0041095</mr>
    <score>100</score>
    <query_string>Cache/Dr/Drazin,commutative,J*,1950,1951</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Etgen, G. J.; Lewis, R. T.</author>
    <title>Positive functionals and oscillation criteria for differential systems</title>
    <journal>in "Optimal Control and Differential Equations" (a. B. Schwarzkopf, W. E. Kelley and S. B. Eliason, eds.), Academic Press, New York</journal>
    <year>1978</year>
    <page>245-275</page>
    <mr>MR0486794</mr>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Freedman, H. I.</author>
    <title>Functionally commutative matrices and matrices with constant eigenvectors</title>
    <journal>Linear and Multilinear Algebra</journal>
    <vol>4</vol>
    <year>1976</year>
    <page>107-113</page>
    <mr>MR0417213</mr>
    <score>100</score>
    <query_string>Cache/Fr/Freedman,Functionally,Linear*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Hinton, D. B.; Lewis, R. T.</author>
    <title>Oscillation theory for generalized second order differential equations</title>
    <journal>Rocky Mountain J. Math.</journal>
    <vol>10</vol>
    <year>1980</year>
    <page>751-766</page>
    <mr>MR0595103</mr>
    <score>85</score>
    <query_string>Cache/Hi/Hinton,Oscillation,Rocky*,1980,1981</query_string>
  </article>

  <fearticle>
    <bibitem>8</bibitem>
    <author>Kura, T.</author>
    <title>A matrix analogue of Atkinson's oscillation theorem</title>
    <journal>Funkcial. Ekvac.</journal>
    <vol>25</vol>
    <year>1982</year>
    <page>223-226</page>
    <mr>MR0694914</mr>
<feart>0694914</feart>
    <score>100</score>
    <query_string>Cache/Ku/Kura,oscillation,Funkcial*,1982,1983</query_string>
  </fearticle>

  <article>
    <bibitem>9</bibitem>
    <author>Macki, J. W.; Wong, J. S. W.</author>
    <title>Oscillation of solutions to second order nonlinear differential equations</title>
    <journal>Pacific J. Math.</journal>
    <vol>24</vol>
    <year>1968</year>
    <page>111-117</page>
    <mr>MR0224908</mr>
    <score>87</score>
    <query_string>Cache/Ma/Macki,Oscillation,Pacific*,1968,1969</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Mingarelli, A. B.</author>
    <title>On a conjecture for oscillation of second order ordinary differential systems</title>
    <journal>Proc. Amer. Math. Soc.</journal>
    <vol>82</vol>
    <year>1981</year>
    <page>593-598</page>
    <mr>MR0614884</mr>
    <score>90</score>
    <query_string>Cache/Mi/Mingarelli,oscillation,Proc*,1981,1982</query_string>
  </article>

  <book>
    <bibitem>11</bibitem>
    <author>Morse, M.</author>
    <booktitle>The Calculus of Variations in the Large</booktitle>
    <publisher>Amer. Math. Soc. Colloq. Publ., 18, Amer. Math. Soc., New York</publisher>
    <year>1932</year>
    <mr>MR1451874</mr>
    <query_string>Cache/Mo/Morse,Variations,*,1934,1935</query_string>
  </book>

  <article>
    <bibitem>12</bibitem>
    <author>Olech, C.; Opial, Z.; Wazewski, T.</author>
    <title>Sur le probl&#232;me d'oscillation des integrales de l'&#233;quation $y''+q(t)y=0$</title>
    <journal>Bull. Acad. Polon. Sci.</journal>
    <ser>cl. III</ser>
    <vol>5</vol>
    <year>1957</year>
    <page>621-626</page>
    <mr>MR0089312</mr>
    <score>88</score>
    <query_string>Cache/Ol/Olech,d'oscillation,Bull*,1957,1958</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Willett, D.</author>
    <title>Classification of second order differential equations with respect to oscillation</title>
    <journal>Advances in Math.</journal>
    <vol>3</vol>
    <year>1969</year>
    <page>594-623</page>
    <mr>MR0280800</mr>
    <score>90</score>
    <query_string>Cache/Wi/Willett,Classification,Advances*,1969,1970</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Wintner, A.</author>
    <title>A criterion of oscillatory stability</title>
    <journal>Quart. Appl. Math.</journal>
    <vol>17</vol>
    <year>1949</year>
    <page>115-117</page>
    <mr>MR0028499</mr>
    <score>100</score>
    <query_string>Cache/Wi/Wintner,oscillatory,Quart*,1949,1950</query_string>
  </article>

</references>
</top_article>
