Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations

Wantong Li

Annales Polonici Mathematici (1997)

  • Volume: 65, Issue: 3, page 283-302
  • ISSN: 0066-2216

Abstract

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A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.

How to cite

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Wantong Li. "Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations." Annales Polonici Mathematici 65.3 (1997): 283-302. <http://eudml.org/doc/270011>.

@article{WantongLi1997,
abstract = {A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.},
author = {Wantong Li},
journal = {Annales Polonici Mathematici},
keywords = {oscillation; neutral nonlinear differential equation; asymptotic behavior; nonlinear neutral differential equations; second order; nonoscillatory solutions},
language = {eng},
number = {3},
pages = {283-302},
title = {Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations},
url = {http://eudml.org/doc/270011},
volume = {65},
year = {1997},
}

TY - JOUR
AU - Wantong Li
TI - Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations
JO - Annales Polonici Mathematici
PY - 1997
VL - 65
IS - 3
SP - 283
EP - 302
AB - A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.
LA - eng
KW - oscillation; neutral nonlinear differential equation; asymptotic behavior; nonlinear neutral differential equations; second order; nonoscillatory solutions
UR - http://eudml.org/doc/270011
ER -

References

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  1. [1] I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991. Zbl0780.34048
  2. [2] H. J. Li and W. L. Liu, Oscillations of second order neutral differential equations, Math. Comput. Modelling 22 (1995), 45-53. Zbl0833.34066
  3. [3] H. J. Li and W. L. Liu, Oscillation criteria for second order neutral differential equations, preprint. Zbl0859.34055
  4. [4] W. D. Lu, Existence and asymptotic behavior of nonoscillatory solutions of second order nonlinear neutral equations, Acta Math. Sinica 36 (1993), 476-484. Zbl0798.34075
  5. [5] J. Ruan, Types and criteria of nonoscillatory solutions of second order linear neutral differential equations, Chinese Ann. Math. Ser. A 8 (1987), 114-124. Zbl0632.34071

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