A remark on power comparison theorem for half-linear differential equations

Gabriella Bognár; Ondřej Došlý

Mathematica Bohemica (2008)

  • Volume: 133, Issue: 2, page 187-195
  • ISSN: 0862-7959

Abstract

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We consider the half-linear second order differential equation which is viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation. We present a comparison theorem with respect to the power of the half-linearity in the equation under consideration. Our research is motivated by the recent results published by J. Sugie, N. Yamaoka, Acta Math. Hungar. 111 (2006), 165–179.

How to cite

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Bognár, Gabriella, and Došlý, Ondřej. "A remark on power comparison theorem for half-linear differential equations." Mathematica Bohemica 133.2 (2008): 187-195. <http://eudml.org/doc/250518>.

@article{Bognár2008,
abstract = {We consider the half-linear second order differential equation which is viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation. We present a comparison theorem with respect to the power of the half-linearity in the equation under consideration. Our research is motivated by the recent results published by J. Sugie, N. Yamaoka, Acta Math. Hungar. 111 (2006), 165–179.},
author = {Bognár, Gabriella, Došlý, Ondřej},
journal = {Mathematica Bohemica},
keywords = {Riemann-Weber half-linear equation; Riccati technique; power comparison theorem; perturbation principle; principal solution; Riemann-Weber half-linear equation; Riccati technique; power comparison theorem; perturbation principle; principal solution},
language = {eng},
number = {2},
pages = {187-195},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A remark on power comparison theorem for half-linear differential equations},
url = {http://eudml.org/doc/250518},
volume = {133},
year = {2008},
}

TY - JOUR
AU - Bognár, Gabriella
AU - Došlý, Ondřej
TI - A remark on power comparison theorem for half-linear differential equations
JO - Mathematica Bohemica
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 133
IS - 2
SP - 187
EP - 195
AB - We consider the half-linear second order differential equation which is viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation. We present a comparison theorem with respect to the power of the half-linearity in the equation under consideration. Our research is motivated by the recent results published by J. Sugie, N. Yamaoka, Acta Math. Hungar. 111 (2006), 165–179.
LA - eng
KW - Riemann-Weber half-linear equation; Riccati technique; power comparison theorem; perturbation principle; principal solution; Riemann-Weber half-linear equation; Riccati technique; power comparison theorem; perturbation principle; principal solution
UR - http://eudml.org/doc/250518
ER -

References

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  10. On the principal and nonprincipal solutions of a nonoscillatory system, Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy 31 (1988), 100–117. (1988) MR1001343
  11. On certain comparison theorems for half-linear dynamic equations on time scales, Abstr. Appl. Anal. 7 (2004), 551–564. (2004) Zbl1106.34019MR2084935
  12. Growth conditions and oscillation of nonlinear differential equations with p -Laplacian, J. Math. Anal. Appl. 305 (2005), 18–34. (2005) MR2132886
  13. 10.1007/s10474-006-0029-5, Acta Math. Hungar. 111 (2006), 165–179. (2006) MR2188979DOI10.1007/s10474-006-0029-5

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