# 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

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topBognár, 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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