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<top_article>
 <mrnumber>MR0141853</mrnumber>
 <author>Sibuya, Yasutaka</author>
 <author_utf8>Yasutaka SIBUYA</author_utf8>
 <title>Asymptotic solutions of a system of linear ordinary               differential equations containing a parameter</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>4</volume>
 <year>1962</year>
 <page>83--113</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol04/fe04-4.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE01-10-en_KML/fe04-083-113/fe04-083-113.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0141853</mathsci_link>
<fesi_info>
  <FILE>fe04-083-113</FILE>
  <YEAR>1962</YEAR>
  <TITLE>Asymptotic Solutions of a System of Linear Ordinary Differential Equations Containing a Parameter</TITLE>
  <AUTHOR>SIBUYA, Yasutaka</AUTHOR>
  <AUTHOR_utf8>SIBUYA, Yasutaka</AUTHOR_utf8>
</fesi_info>

<references>
  <other>
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    <raw_data>Erd&#233;lyi, A., Singular Volterra integral equations and their use in asymptotic expansions, U. S. Army Math. Res. Center, Tech. Sum. Rep., No. 194, Univ. of Wisconsin, 1960</raw_data>
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    <query_string>Cache/Er/Erd\'elyi,asymptotic,*,1960,1961</query_string>
  </other>

  <book>
    <bibitem>2</bibitem>
    <author>Friedrichs, K. O.</author>
    <booktitle>Special topics in analysis</booktitle>
    <publisher>Lecture notes, New York Univ.</publisher>
    <year>1953-1954</year>
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  </book>

  <article>
    <bibitem>3</bibitem>
    <author>Horn, J.</author>
    <title>&#220;ber eine lineare Differentialgleichung zweiter Ordnung mit einem willk&#252;rlichen Parameter</title>
    <journal>Math. Ann.</journal>
    <vol>52</vol>
    <year>1899</year>
    <page>271-292</page>
    <mr>MR1511055</mr>
    <score>90</score>
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  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Hukuhara, M.</author>
    <title>Sur les propri&#233;t&#233;s asymptotiques des solutions d'un syst&#232;me d'&#233;quations diff&#233;rentielles lin&#233;aires contenant un param&#232;tre</title>
    <journal>Mem. Fac. Eng., Kyushu Imp. Univ.</journal>
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    <year>1937</year>
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  </article>

  <article>
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    <author>Langer, R. E.</author>
    <title>The asymptotic solutions of certain linear ordinary differential equations of the second order</title>
    <journal>Trans. Amer. Math. Soc.</journal>
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    <year>1934</year>
    <page>90-106</page>
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    <score>100</score>
    <query_string>Cache/La/Langer,asymptotic,Trans*,1934,1935</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Langer, R. E.</author>
    <title>The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to a turning point</title>
    <journal>Trans. Amer. Math. Soc.</journal>
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    <year>1949</year>
    <page>461-490</page>
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    <score>100</score>
    <query_string>Cache/La/Langer,asymptotic,Trans*,1949,1950</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Langer, R. E.</author>
    <title>The solutions of the differential equation $v'''+\lambda^2zv'+\mu\lambda^2v=0$\mu\lambda^2v=0$</title>
    <journal>Duke Math. J.</journal>
    <vol>22</vol>
    <year>1955</year>
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    <score>77</score>
    <query_string>Cache/La/Langer,solutions,Duke*,1955,1956</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Langer, R. E.</author>
    <title>The solutions of a class of ordinary linear differential equations of the third order in a region containing a multiple turning point</title>
    <journal>Duke Math. J.</journal>
    <vol>23</vol>
    <year>1956</year>
    <page>93-110</page>
    <mr>MR0079684</mr>
    <score>100</score>
    <query_string>Cache/La/Langer,solutions,Duke*,1956,1957</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Liouville, J.</author>
    <title>Sur le d&#233;veloppement des fonctions ou partie de fonctions en s&#233;ries dont les divers termes sont assujetis &#224; satisfaire &#224; une m&#234;me &#233;quation diff&#233;rentielle du seconde ordre contenant un param&#232;tre variable</title>
<journal>J. Math. Pures Appl.</journal>
<vol>1</vol>
<year>1836</year>
<page>253-265</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Li/Liouville,Sur,*,1957,1967</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Liouville, J.</author>
    <title>Sur le d&#233;veloppement des fonctions ou partie de fonctions en s&#233;ries dont les divers termes sont assujetis &#224; satisfaire &#224; une m&#234;me &#233;quation diff&#233;rentielle du seconde ordre contenant un param&#232;tre variable, II</title>
<journal>J. Math. Pures Appl.</journal>
<year>1837</year>
<vol>2</vol>
<page>16-35</page>
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    <query_string>Cache/Li/Liouville,Sur,*,1957,1967</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Liouville, J.</author>
    <title>Sur le d&#233;veloppement des fonctions ou partie de fonctions en s&#233;ries dont les divers termes sont assujetis &#224; satisfaire &#224; une m&#234;me &#233;quation diff&#233;rentielle du seconde ordre contenant un param&#232;tre variable, III</title>
<journal>J. Math. Pures Appl.</journal>
<vol>2</vol>
<year>1837</year>
<page>418-436</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Li/Liouville,Sur,*,1957,1967</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>McKelvey, R. W.</author>
    <title>The solutions of second order linear ordinary differential equations about a turning point of order two</title>
    <journal>Trans. Amer. Math. Soc.</journal>
    <vol>79</vol>
    <year>1955</year>
    <page>103-123</page>
    <mr>MR0069344</mr>
    <score>100</score>
    <query_string>Cache/Mc/McKelvey,solutions,Trans*,1955,1956</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Okubo, K.</author>
    <title>On certain reduction theorems for systems of differential equations which contain a turning point</title>
    <journal>Proc. Japan Acad.</journal>
    <vol>9</vol>
    <year>1961</year>
    <page>544-549</page>
    <mr>MR0138826</mr>
    <score>100</score>
    <query_string>Cache/Ok/Okubo,reduction,Proc*,1961,1962</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Olver, F. W. J.</author>
    <title>Error bounds for the Liouville-Green (or WKB) approximation</title>
    <journal>Proc. Cambridge Phil. Soc.</journal>
    <vol>57</vol>
    <year>1961</year>
    <page>790-810</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ol/Olver,Liouville-Green,Proc*,1961,1962</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Shibuya, Y.</author>
    <title>Sur r&#233;duction analytique d'un syst&#232;me d'&#233;quations diff&#233;rentielles ordinaires lin&#233;aires contenant un param&#232;tre</title>
    <journal>J. Fac. Sci., Univ. Tokyo</journal>
    <vol>7</vol>
    <year>1958</year>
    <page>527-540</page>
    <mr>MR0096016</mr>
    <query_string>Cache/Sh/Shibuya,Sur,J*,1958,1959</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Shibuya, Y.</author>
    <title>Second order linear ordinary differential equations containing a large parameter</title>
    <journal>Proc. Japan Acad.</journal>
    <vol>34</vol>
    <year>1958</year>
    <page>229-234</page>
    <mr>MR0096861</mr>
    <query_string>Cache/Sh/Shibuya,ordinary,Proc*,1958,1959</query_string>
  </article>

  <other>
    <bibitem>15</bibitem>
    <raw_data>Shibuya, Y., On the problem of turning points, U. S. Army Math. Res.  Center, Tech. Sum. Rep., No. 105, Univ. of Wisconsin, 1959</raw_data>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Sh/Shibuya,problem,U*,1959,1960</query_string>
  </other>

  <fearticle>
    <bibitem>16</bibitem>
    <author>Shibuya, Y.</author>
    <title>Simplification of a system of linear ordinary differential equations about a singular point</title>
    <journal>Funkcialaj Ekvacioj</journal>
    <vol>4</vol>
    <year>1962</year>
    <page>29-56</page>
    <mr>MR0152719</mr>
<feart>0152719</feart>
    <query_string>Cache/Sh/Shibuya,Simplification,Funkcialaj*,1962,1963</query_string>
  </fearticle>

  <article>
    <bibitem>17</bibitem>
    <author>Shibuya, Y.</author>
    <title>Asymptotic solutions of differential equations and their applications</title>
    <journal>Sugaku</journal>
    <vol>13</vol>
    <year>1961/1962</year>
    <page>236-248</page>
    <mr>MR0153908</mr>
    <score>83</score>
    <query_string>Cache/Sh/Shibuya,Asymptotic,Sugaku*,1962,1963</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Turrittin, H. S.</author>
    <title>Stokes multipliers for asymptotic solutions of a certain differential equation</title>
    <journal>Trans. Amer. Math. Soc.</journal>
    <vol>68</vol>
    <year>1950</year>
    <page>304-329</page>
    <mr>MR0034491</mr>
    <score>100</score>
    <query_string>Cache/Tu/Turrittin,multipliers,Trans*,1950,1951</query_string>
  </article>

  <article>
    <bibitem>19</bibitem>
    <author>Wasow, W.</author>
    <title>The asymptotic theory of linear differential equations involving a parameter</title>
    <journal>Le Mat.</journal>
    <year>1955</year>
    <page>134-148</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Wa/Wasow,asymptotic,Le*,1955,1956</query_string>
  </article>

  <article>
    <bibitem>20</bibitem>
    <author>Wasow, W.</author>
    <title>Turning point problems for systems of linear differential equations Part I : the formal theory</title>
    <journal>Comm. Pure Appl. Math.</journal>
    <vol>14</vol>
    <year>1961</year>
    <page>657-673</page>
    <mr>MR0132248</mr>
    <score>100</score>
    <query_string>Cache/Wa/Wasow,problems,Comm*,1961,1962</query_string>
  </article>

</references>
</top_article>
