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<top_article>
 <mrnumber>MR1245343</mrnumber>
 <author>Kostov, Vladimir</author>
 <author_utf8>Vladimir KOSTOV</author_utf8>
 <title>The Stokes' multipliers and the Galois' group of a               non-Fuchsian system and the generalised               Phragmen-Lindel\"off principle</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>36</volume>
 <year>1993</year>
 <page>329--357</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol36/fe36-2-7.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe36-329-357/fe36-329-357.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1245343</mathsci_link>
<fesi_info>
  <FILE>fe36-329-357</FILE>
  <YEAR>1993</YEAR>
  <TITLE>The Stokes' Multipliers and the Galois' Group of a Non-Fuchsian System and the Generalised Phragmen-Lindel&#246;ff Principle</TITLE>
  <AUTHOR>KOSTOV, Vladimir</AUTHOR>
  <AUTHOR_utf8>KOSTOV, Vladimir</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Ramis, J. P.</author>
    <title>Ph&#233;nom&#232;ne de Stokes et resommation</title>
    <journal>C. R. Acad. Sci. Paris S&#233;r 1</journal>
    <ser>1</ser>
    <vol>301</vol>
    <year>1985</year>
    <page>99-102</page>
    <mr>MR0799602</mr>
    <score>100</score>
    <query_string>Cache/Ra/Ramis,*,C*,1985,1986</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Ramis, J. P.</author>
    <title>Ph&#233;nom&#232;ne de Stokes et filtration de Gevrey sur le group de Picard-Vesiot</title>
    <journal>C. R. Acad. Paris S&#233;r 1</journal>
    <ser>1</ser>
    <vol>301</vol>
    <year>1985</year>
    <page>165-167</page>
    <mr>MR0801953</mr>
    <score>81</score>
    <query_string>Cache/Ra/Ramis,*,C*,1985,1986</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Ecalle, J.; Martinet, J.; Moussu, R.; Ramis, J. P.</author>
    <title>Non-accumulation de cycles limites, I</title>
    <journal>C. R. Acad. Paris S&#233;r 1</journal>
    <ser>1</ser>
    <vol>304</vol>
    <year>1987</year>
    <page>375-377</page>
    <mr>MR0889742</mr>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Ecalle, J.; Martinet, J.; Moussu, R.; Ramis, J. P.</author>
    <title>Non-accumulation de cycles limites, II</title>
    <journal>C. R. Acad. Paris S&#233;r 1</journal>
    <ser>1</ser>
    <vol>304</vol>
    <year>1987</year>
    <page>431-434</page>
    <mr>MR0888240</mr>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Il'yashenko, Yu. S.; Hovansky, A. G.</author>
    <title>Galois' groups, Stokes' multipliers and Ramis' theorem</title>
    <journal>Functional Anal. Appl.</journal>
    <year>1990</year>
<vol>24</vol>
<page>286-296</page>
    <mr>MR1092801</mr>
    <query_string>Cache/Il/Il'yashenko,multipliers,Functional*,1990,1991</query_string>
  </article>

  <fearticle>
    <bibitem>5</bibitem>
    <author>Balser, W.; Jurkat, W. B.; Lutz, D. A.</author>
    <title>A general theory of invariants for meromorphic differential equations; Part I</title>
    <journal>Funkcial. Ekvac.</journal>
    <vol>22</vol>
    <year>1979</year>
    <page>197-221</page>
    <mr>MR0556577</mr>
<feart>0556577</feart>
    <score>91</score>
    <query_string>Cache/Ba/Balser,meromorphic,Funkcial*,1979,1980</query_string>
  </fearticle>

  <fearticle>
    <bibitem>5</bibitem>
    <author>Balser, W.; Jurkat, W. B.; Lutz, D. A.</author>
    <title>A general theory of invariants for meromorphic differential equations; Part II</title>
    <journal>Funkcial. Ekvac.</journal>
    <vol>22</vol>
    <year>1979</year>
    <page>257-283</page>
    <mr>MR0577846</mr>
<feart>0577846</feart>
    <score>91</score>
    <query_string>Cache/Ba/Balser,meromorphic,Funkcial*,1979,1980</query_string>
  </fearticle>

  <article>
    <bibitem>6</bibitem>
    <author>Turrittin, H. L.</author>
    <title>Convergent solutions of ordinary linear homogeneous differential equations in the neighbourhood of an irregular singular point</title>
    <journal>Acta Math.</journal>
    <vol>93</vol>
    <year>1955</year>
    <page>27-66</page>
    <mr>MR0068689</mr>
    <query_string>Cache/Tu/Turrittin,neighbourhood,Acta*,1955,1956</query_string>
  </article>

  <book>
    <bibitem>7</bibitem>
    <author>Wasow, W.</author>
    <booktitle>Asymptotic expansions for ordinary differential equatons</booktitle>
    <publisher>J. Wiley-Interscience, New York</publisher>
    <year>1965</year>
    <mr>MR0203188</mr>
    <score>83</score>
    <query_string>Cache/Wa/Wasow,Asymptotic,*,1965,1966</query_string>
    <page>ix+362</page>
  </book>

  <article>
    <bibitem>8</bibitem>
    <author>Babbitt, D. G.; Varadaragan, V. S.</author>
    <title>Formal reduction theory of meromorphic differential equations: a group theoretic view</title>
    <journal>Pacific, J. Math.</journal>
    <vol>109</vol>
    <year>1983</year>
    <page>1-80</page>
    <mr>MR0716289</mr>
    <query_string>Cache/Ba/Babbitt,meromorphic,Pacific,*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Babbitt, D. G.; Varadaragan, V. S.</author>
    <title>Local moduli for meromorphic differential equations</title>
    <journal>Bull. Amer. Math. Soc.</journal>
    <vol>12</vol>
    <year>1985</year>
    <page>95-98</page>
    <mr>MR0766962</mr>
    <score>100</score>
    <query_string>Cache/Ba/Babbitt,meromorphic,Bull*,1985,1986</query_string>
  </article>

  <book>
    <bibitem>10</bibitem>
    <author>Titchmarsh, E. C.</author>
    <booktitle>The theory of functions</booktitle>
    <publisher>Oxford University Press</publisher>
    <year>1939</year>
    <query_string>Cache/Ti/Titchmarsh,functions,*,1939,1940</query_string>
  </book>

  <article>
    <bibitem>A-1</bibitem>
    <author>Ramis, J. P.</author>
    <title>Devissage Gevrey</title>
    <journal>Ast&#233;risque</journal>
    <vol>59-60</vol>
    <year>1978</year>
    <page>173-204</page>
    <mr>MR0542737</mr>
    <query_string>Cache/Ra/Ramis,Devissage,Ast&#233;risque*,1978,1979</query_string>
  </article>

  <article>
    <bibitem>A-2</bibitem>
    <author>Ramis, J. P.</author>
    <title>Les s&#233;ries $k$-sommables et leurs applications</title>
    <journal>Analysis, Microlocal Calculus and Relativistic Quantum Theory, Springer Lecture Notes in Physics 126</journal>
    <year>1980</year>
    <page>178-199</page>
    <mr>MR0579749</mr>
    <query_string>Cache/Ra/Ramis,applications,*,1980,1981</query_string>
  </article>

  <article>
    <bibitem>A-3</bibitem>
    <author>Ramis, J. P.</author>
    <title>Filtration Gevrey sur le groupe de Picard-Vessiot d'une &#233;quation diff&#233;rentielle irr&#233;guli&#232;re</title>
    <journal>Informes de Matematica, Instituto de Matematica Pura e Aplicada (IMPA), S&#233;rie A, 045, june 1985, Rio de Janeiro</journal>
    <year>1985</year>
    <page>1-38</page>
  </article>

  <book>
    <bibitem>A-4</bibitem>
    <author>Ramis, J. P.</author>
    <booktitle>Th&#233;or&#232;mes d'indices Gevrey pour le &#233;quations diff&#233;rentielles ordinaires</booktitle>
    <publisher>Memoirs of the American Mathematical Society, 296</publisher>
    <year>1984</year>
    <mr>MR0733946</mr>
    <score>100</score>
    <query_string>Cache/Ra/Ramis,*,Memoirs*,1984,1985</query_string>
  </book>

  <other>
    <bibitem>5</bibitem>
    <raw_data>Ramis, J. P., Un probl&#232;me inverse en th&#233;orie de Galois diff&#233;rentielle, Preprint I.R.M.A. Strasbourg (1989)</raw_data>
  </other>

  <article>
    <bibitem>6</bibitem>
    <author>Ramis, J. P.; Sibuya, Y.</author>
    <title>Hukuhara domains and fundamental existence and uniqueness theorems for asymptotic solutions of Gevrey type</title>
    <journal>Asymptotics</journal>
    <vol>2</vol>
    <year>1989</year>
    <page>39-94</page>
    <mr>MR0991416</mr>
    <query_string>Cache/Ra/Ramis,fundamental,Asymptotics*,1989,1990</query_string>
  </article>

</references>
</top_article>
