Hartman-Wintner type criteria for half-linear second order differential equations

Zuzana Pátíková

Mathematica Bohemica (2007)

  • Volume: 132, Issue: 3, page 243-256
  • ISSN: 0862-7959

Abstract

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We establish Hartman-Wintner type criteria for the half-linear second order differential equation r ( t ) Φ ( x ' ) ' + c ( t ) Φ ( x ) = 0 , Φ ( x ) = | x | p - 2 x , p > 1 , where this equation is viewed as a perturbation of another equation of the same form.

How to cite

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Pátíková, Zuzana. "Hartman-Wintner type criteria for half-linear second order differential equations." Mathematica Bohemica 132.3 (2007): 243-256. <http://eudml.org/doc/250258>.

@article{Pátíková2007,
abstract = {We establish Hartman-Wintner type criteria for the half-linear second order differential equation \[ \left(r(t)\Phi (x^\{\prime \})\right)^\{\prime \}+c(t)\Phi (x)=0,\quad \Phi (x)=|x|^\{p-2\}x,\ p>1, \] where this equation is viewed as a perturbation of another equation of the same form.},
author = {Pátíková, Zuzana},
journal = {Mathematica Bohemica},
keywords = {half-linear differential equation; Hartman-Wintner criterion; Riccati equation; principal solution; half-linear differential equation; Hartman-Wintner criterion; Riccati equation; principal solution},
language = {eng},
number = {3},
pages = {243-256},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Hartman-Wintner type criteria for half-linear second order differential equations},
url = {http://eudml.org/doc/250258},
volume = {132},
year = {2007},
}

TY - JOUR
AU - Pátíková, Zuzana
TI - Hartman-Wintner type criteria for half-linear second order differential equations
JO - Mathematica Bohemica
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 132
IS - 3
SP - 243
EP - 256
AB - We establish Hartman-Wintner type criteria for the half-linear second order differential equation \[ \left(r(t)\Phi (x^{\prime })\right)^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x)=|x|^{p-2}x,\ p>1, \] where this equation is viewed as a perturbation of another equation of the same form.
LA - eng
KW - half-linear differential equation; Hartman-Wintner criterion; Riccati equation; principal solution; half-linear differential equation; Hartman-Wintner criterion; Riccati equation; principal solution
UR - http://eudml.org/doc/250258
ER -

References

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  13. Analogue of the Hartman theorem, Diff. Urav. 25 (1989), 216–222. (Russian) (1989) MR0994702
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