Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems

Ken-ichi Kamo

Archivum Mathematicum (2004)

  • Volume: 040, Issue: 2, page 209-217
  • ISSN: 0044-8753

Abstract

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This paper is concerned with the problem of asymptotic equivalence for positive rapidly decaying solutions of a class of second order quasilinear ordinary differential equations. Its application to exterior Dirichlet problems is also given.

How to cite

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Kamo, Ken-ichi. "Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems." Archivum Mathematicum 040.2 (2004): 209-217. <http://eudml.org/doc/249300>.

@article{Kamo2004,
abstract = {This paper is concerned with the problem of asymptotic equivalence for positive rapidly decaying solutions of a class of second order quasilinear ordinary differential equations. Its application to exterior Dirichlet problems is also given.},
author = {Kamo, Ken-ichi},
journal = {Archivum Mathematicum},
keywords = {quasilinear differential equations; rapidly decaying solutions; asymptotic equivalence; quasilinear differential equations; rapidly decaying solutions; asymptotic equivalence},
language = {eng},
number = {2},
pages = {209-217},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems},
url = {http://eudml.org/doc/249300},
volume = {040},
year = {2004},
}

TY - JOUR
AU - Kamo, Ken-ichi
TI - Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems
JO - Archivum Mathematicum
PY - 2004
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 040
IS - 2
SP - 209
EP - 217
AB - This paper is concerned with the problem of asymptotic equivalence for positive rapidly decaying solutions of a class of second order quasilinear ordinary differential equations. Its application to exterior Dirichlet problems is also given.
LA - eng
KW - quasilinear differential equations; rapidly decaying solutions; asymptotic equivalence; quasilinear differential equations; rapidly decaying solutions; asymptotic equivalence
UR - http://eudml.org/doc/249300
ER -

References

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  1. Cecchi M., Došlá Z., Marini M., On the dynamics of the generalized Emden-Fowler equation, Georgian Math. J. 7 (2000), 269–282. Zbl0961.34021MR1779551
  2. Elbert Á., Kusano T., Oscillation and nonoscillation theorems for a class of second order quasilinear differential equations, Acta Math. Hungar. 56 (1990), 325–336. (1990) MR1111319
  3. Kamo K., Usami H., Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equations, Adv. Math. Sci. Appl. 10 (2000), 673–688. Zbl0997.34038MR1807447
  4. Kamo K., Usami H., Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equations with sub-homogeneity, Hiroshima Math. J. 31 (2001), 35–49. Zbl0997.34038MR1820693
  5. Kura T., The weak supersolution-subsolution method for second order quasilinear elliptic equations, Hiroshima Math. J. 19 (1989), 1–36. (1989) Zbl0735.35056MR1009660
  6. Mirzov J. D., On some analogs of Strum’s and Kneser’s theorems for nonlinear systems, J. Math. Anal. Appl. 53 (1976), 418–425. (1976) MR0402184
  7. Mizukami M., Naito M., Usami H., Asymptotic behavior of solutions of a class of second order quasilinear ordinary differential equations, Hiroshima Math. J. 32 (2002), 51–78. Zbl1017.34053MR1892669
  8. Tanigawa T., Existence and asymptotic behavior of positive solutions of second order quasilinear differential equations, Adv. Math. Sci. Appl. 9 (1999), 907–938. (1999) Zbl1025.34043MR1725693

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