Oscillation of fourth-order quasilinear differential equations

Tongxing Li; Yuriy V. Rogovchenko; Chenghui Zhang

Mathematica Bohemica (2015)

  • Volume: 140, Issue: 4, page 405-418
  • ISSN: 0862-7959

Abstract

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We study oscillatory behavior of a class of fourth-order quasilinear differential equations without imposing restrictive conditions on the deviated argument. This allows applications to functional differential equations with delayed and advanced arguments, and not only these. New theorems are based on a thorough analysis of possible behavior of nonoscillatory solutions; they complement and improve a number of results reported in the literature. Three illustrative examples are presented.

How to cite

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Li, Tongxing, Rogovchenko, Yuriy V., and Zhang, Chenghui. "Oscillation of fourth-order quasilinear differential equations." Mathematica Bohemica 140.4 (2015): 405-418. <http://eudml.org/doc/271833>.

@article{Li2015,
abstract = {We study oscillatory behavior of a class of fourth-order quasilinear differential equations without imposing restrictive conditions on the deviated argument. This allows applications to functional differential equations with delayed and advanced arguments, and not only these. New theorems are based on a thorough analysis of possible behavior of nonoscillatory solutions; they complement and improve a number of results reported in the literature. Three illustrative examples are presented.},
author = {Li, Tongxing, Rogovchenko, Yuriy V., Zhang, Chenghui},
journal = {Mathematica Bohemica},
keywords = {oscillation; quasilinear functional differential equation; delayed argument; advanced argument},
language = {eng},
number = {4},
pages = {405-418},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillation of fourth-order quasilinear differential equations},
url = {http://eudml.org/doc/271833},
volume = {140},
year = {2015},
}

TY - JOUR
AU - Li, Tongxing
AU - Rogovchenko, Yuriy V.
AU - Zhang, Chenghui
TI - Oscillation of fourth-order quasilinear differential equations
JO - Mathematica Bohemica
PY - 2015
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 140
IS - 4
SP - 405
EP - 418
AB - We study oscillatory behavior of a class of fourth-order quasilinear differential equations without imposing restrictive conditions on the deviated argument. This allows applications to functional differential equations with delayed and advanced arguments, and not only these. New theorems are based on a thorough analysis of possible behavior of nonoscillatory solutions; they complement and improve a number of results reported in the literature. Three illustrative examples are presented.
LA - eng
KW - oscillation; quasilinear functional differential equation; delayed argument; advanced argument
UR - http://eudml.org/doc/271833
ER -

References

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