# Comparison theorems for noncanonical third order nonlinear differential equations

Open Mathematics (2007)

- Volume: 5, Issue: 1, page 154-163
- ISSN: 2391-5455

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topIvan Mojsej, and Ján Ohriska. "Comparison theorems for noncanonical third order nonlinear differential equations." Open Mathematics 5.1 (2007): 154-163. <http://eudml.org/doc/269181>.

@article{IvanMojsej2007,

abstract = {The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with quasiderivatives. We prove comparison theorems on property A between linear and nonlinear equations. Some integral criteria ensuring property A for nonlinear equations are also given. Our assumptions on the nonlinearity of f are restricted to its behavior only in a neighborhood of zero and a neighborhood of infinity.},

author = {Ivan Mojsej, Ján Ohriska},

journal = {Open Mathematics},

keywords = {Comparison theorem; property A; quasiderivative; noncanonical form; nonlinear equation},

language = {eng},

number = {1},

pages = {154-163},

title = {Comparison theorems for noncanonical third order nonlinear differential equations},

url = {http://eudml.org/doc/269181},

volume = {5},

year = {2007},

}

TY - JOUR

AU - Ivan Mojsej

AU - Ján Ohriska

TI - Comparison theorems for noncanonical third order nonlinear differential equations

JO - Open Mathematics

PY - 2007

VL - 5

IS - 1

SP - 154

EP - 163

AB - The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with quasiderivatives. We prove comparison theorems on property A between linear and nonlinear equations. Some integral criteria ensuring property A for nonlinear equations are also given. Our assumptions on the nonlinearity of f are restricted to its behavior only in a neighborhood of zero and a neighborhood of infinity.

LA - eng

KW - Comparison theorem; property A; quasiderivative; noncanonical form; nonlinear equation

UR - http://eudml.org/doc/269181

ER -

## References

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