Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type

Takaŝi Kusano; Pavol Marušiak

Mathematica Bohemica (2000)

  • Volume: 125, Issue: 2, page 199-213
  • ISSN: 0862-7959

Abstract

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This paper establishes existence of nonoscillatory solutions with specific asymptotic behaviors of second order quasilinear functional differential equations of neutral type. Then sufficient, sufficient and necessary conditions are proved under which every solution of the equation is either oscillatory or tends to zero as .

How to cite

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Kusano, Takaŝi, and Marušiak, Pavol. "Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type." Mathematica Bohemica 125.2 (2000): 199-213. <http://eudml.org/doc/248656>.

@article{Kusano2000,
abstract = {This paper establishes existence of nonoscillatory solutions with specific asymptotic behaviors of second order quasilinear functional differential equations of neutral type. Then sufficient, sufficient and necessary conditions are proved under which every solution of the equation is either oscillatory or tends to zero as $ t \rightarrow \infty $.},
author = {Kusano, Takaŝi, Marušiak, Pavol},
journal = {Mathematica Bohemica},
keywords = {quasilinear differential equations of neutral type; oscillatory; nonoscillatory solutions; Schauder-Tychonoff fixed-point theorem; quasilinear differential equations of neutral type; oscillatory; nonoscillatory solutions; Schauder-Tychonoff fixed-point theorem},
language = {eng},
number = {2},
pages = {199-213},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type},
url = {http://eudml.org/doc/248656},
volume = {125},
year = {2000},
}

TY - JOUR
AU - Kusano, Takaŝi
AU - Marušiak, Pavol
TI - Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type
JO - Mathematica Bohemica
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 125
IS - 2
SP - 199
EP - 213
AB - This paper establishes existence of nonoscillatory solutions with specific asymptotic behaviors of second order quasilinear functional differential equations of neutral type. Then sufficient, sufficient and necessary conditions are proved under which every solution of the equation is either oscillatory or tends to zero as $ t \rightarrow \infty $.
LA - eng
KW - quasilinear differential equations of neutral type; oscillatory; nonoscillatory solutions; Schauder-Tychonoff fixed-point theorem; quasilinear differential equations of neutral type; oscillatory; nonoscillatory solutions; Schauder-Tychonoff fixed-point theorem
UR - http://eudml.org/doc/248656
ER -

References

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