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<mrnumber>MR2427542</mrnumber>
<author>Misako MOTAI and Hiroyuki USAMI</author>
<author_utf8>Misako MOTAI and Hiroyuki USAMI</author_utf8>
<title>On Positive Decaying Solutions of Quasilinear Ordinary Differential Equations with Singular Nonlinearities</title>
<journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
<volume>51</volume>
<year>2008</year>
<page>39--53</page>
<url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/51-1/51_39.pdf</url_pdf>
<mathsci_link>http://www.ams.org/mathscinet-getitem?mr=MR2427542</mathsci_link>
<abstract>We consider singular boundary value problems to quasilinear ordinary differential equations with singular nonlinearities. We give sufficient conditions for such problems to have a positive solution. Moreover, for a typical case we can show also the uniqueness of the solutions.</abstract>
<keywords>Quasilinear ordinary differential equation, Positive solution.</keywords>
<subject>Primary 34E10, Secondary 34D05.</subject>
<fesi_info>
  <FILE>51-39</FILE>
  <YEAR>2008</YEAR>
  <TITLE>On Positive Decaying Solutions of Quasilinear Ordinary Differential Equations with Singular Nonlinearities</TITLE>
  <AUTHOR>Misako MOTAI and Hiroyuki USAMI</AUTHOR>
  <AUTHOR_utf8>Misako MOTAI and Hiroyuki USAMI</AUTHOR_utf8>
</fesi_info>

<references>

<article>
<bibitem>1</bibitem>
<author>Ad'yutov, M. M.; Klokov, Yu. A.; Mikhailov, A. P.</author>
<title>Some problems for an ordinary differential equations arising in gas dynamics</title>
<journal>Differential Equations</journal>
<vol>26</vol>
<year>1990</year>
<page>803-805</page>
<mr>MR1072205</mr>
</article>

<article>
<bibitem>2</bibitem>
<author>Callegari, A. J.; Nachman, A.</author>
<title>Some singular, nonlinear differential equations arising in boundary layer theory</title>
<journal>J. Math. Anal. Appl.</journal>
<vol>64</vol>
<year>1978</year>
<page>96-105</page>
<mr>MR0478973</mr>
</article>

<article>
<bibitem>3</bibitem>
<author>Kusano, T.; Swanson, C. A.</author>
<title>Asymptotic theory of singular semilinear elliptic equations</title>
<journal>Canad. Math. Bull.</journal>
<vol>27</vol>
<year>1984</year>
<page>223-232</page>
<mr>MR0740418</mr>
</article>

<article>
<bibitem>4</bibitem>
<author>Kusano, T.; Tanigawa, T.</author>
<title>Positive solutions to a class of second order differential equations with singular nonlinearities</title>
<journal>Appl. Anal.</journal>
<vol>69</vol>
<year>1998</year>
<page>315-331</page>
<mr>MR1706534</mr>
</article>

<book>
<bibitem>5</bibitem>
<author>Pontriagin, L. S.</author>
<booktitle>A Course in Ordinary Differential Equations</booktitle>
<publisher>Hindustan Publishing Corporation (India), Delhi</publisher>
<year>1967</year>
<mr>MR0123031</mr>
</book>

<article>
<bibitem>6</bibitem>
<author>Usami, H.</author>
<title>On positive decaying solutions of singular Emden-Fowler type equations</title>
<journal>Nonlinear Anal.</journal>
<vol>16</vol>
<year>1991</year>
<page>795-803</page>
<mr>MR1097133</mr>
</article>

<article>
<bibitem>7</bibitem>
<author>Usami, H.</author>
<title>Asymptotic behavior of positive solutions of singular Emden-Fowler type equations</title>
<journal>J. Math. Soc. Japan</journal>
<vol>46</vol>
<year>1994</year>
<page>195-211</page>
<mr>MR1264937</mr>
</article>

<book>
<bibitem>8</bibitem>
<author>Smart, D. R.</author>
<booktitle>Fixed Point Theorems</booktitle>
<publisher>Cambridge University Press, London</publisher>
<year>1974</year>
<mr>MR046771</mr>
</book>


</references>
</top_article>
