New interval oscillation criteria for second-order functional differential equations with nonlinear damping

Süleyman Öǧrekçi

Open Mathematics (2015)

  • Volume: 13, Issue: 1, page 239-246, electronic only
  • ISSN: 2391-5455

Abstract

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This paper concerns the oscillation problem of second-order nonlinear damped ODE with functional terms.We give some new interval oscillation criteria which is not only based on constructing a lower solution of a Riccati type equation but also based on constructing an upper solution for corresponding Riccati type equation. We use a recently developed pointwise comparison principle between those lower and upper solutions to obtain our results. Some illustrative examples are also provided to demonstrate our results.

How to cite

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Süleyman Öǧrekçi. "New interval oscillation criteria for second-order functional differential equations with nonlinear damping." Open Mathematics 13.1 (2015): 239-246, electronic only. <http://eudml.org/doc/269986>.

@article{SüleymanÖǧrekçi2015,
abstract = {This paper concerns the oscillation problem of second-order nonlinear damped ODE with functional terms.We give some new interval oscillation criteria which is not only based on constructing a lower solution of a Riccati type equation but also based on constructing an upper solution for corresponding Riccati type equation. We use a recently developed pointwise comparison principle between those lower and upper solutions to obtain our results. Some illustrative examples are also provided to demonstrate our results.},
author = {Süleyman Öǧrekçi},
journal = {Open Mathematics},
keywords = {Differential equations; Functional term; Oscillation; differential equations; functional term; oscillation},
language = {eng},
number = {1},
pages = {239-246, electronic only},
title = {New interval oscillation criteria for second-order functional differential equations with nonlinear damping},
url = {http://eudml.org/doc/269986},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Süleyman Öǧrekçi
TI - New interval oscillation criteria for second-order functional differential equations with nonlinear damping
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - 239
EP - 246, electronic only
AB - This paper concerns the oscillation problem of second-order nonlinear damped ODE with functional terms.We give some new interval oscillation criteria which is not only based on constructing a lower solution of a Riccati type equation but also based on constructing an upper solution for corresponding Riccati type equation. We use a recently developed pointwise comparison principle between those lower and upper solutions to obtain our results. Some illustrative examples are also provided to demonstrate our results.
LA - eng
KW - Differential equations; Functional term; Oscillation; differential equations; functional term; oscillation
UR - http://eudml.org/doc/269986
ER -

References

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