# Oscillatory and nonoscillatory solutions of neutral differential equations

Annales Polonici Mathematici (2000)

- Volume: 73, Issue: 2, page 169-184
- ISSN: 0066-2216

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topTanaka, Satoshi. "Oscillatory and nonoscillatory solutions of neutral differential equations." Annales Polonici Mathematici 73.2 (2000): 169-184. <http://eudml.org/doc/262556>.

@article{Tanaka2000,

abstract = {Neutral differential equations are studied. Sufficient conditions are obtained to have oscillatory solutions or nonoscillatory solutions. For the existence of solutions, the Schauder-Tikhonov fixed point theorem is used.},

author = {Tanaka, Satoshi},

journal = {Annales Polonici Mathematici},

keywords = {nonoscillatory solution; neutral differential equation; oscillatory solution; oscillatory and nonoscillatory solutions; existence},

language = {eng},

number = {2},

pages = {169-184},

title = {Oscillatory and nonoscillatory solutions of neutral differential equations},

url = {http://eudml.org/doc/262556},

volume = {73},

year = {2000},

}

TY - JOUR

AU - Tanaka, Satoshi

TI - Oscillatory and nonoscillatory solutions of neutral differential equations

JO - Annales Polonici Mathematici

PY - 2000

VL - 73

IS - 2

SP - 169

EP - 184

AB - Neutral differential equations are studied. Sufficient conditions are obtained to have oscillatory solutions or nonoscillatory solutions. For the existence of solutions, the Schauder-Tikhonov fixed point theorem is used.

LA - eng

KW - nonoscillatory solution; neutral differential equation; oscillatory solution; oscillatory and nonoscillatory solutions; existence

UR - http://eudml.org/doc/262556

ER -

## References

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- [10] Y. Kitamura, T. Kusano and B. S. Lalli, Existence of oscillatory and nonoscillatory solutions for a class of neutral functional differential equations, Math. Bohem. 120 (1995), 57-69. Zbl0838.34079
- [11] W. T. Li, Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations, Ann. Polon. Math. 65 (1997), 283-302. Zbl0873.34065
- [12] M. Naito, An asymptotic theorem for a class of nonlinear neutral differential equations, Czechoslovak Math. J. 48 (1998), 419-432.
- [13] Y. Naito, Nonoscillatory solutions of neutral differential equations, Hiroshima Math. J. 20 (1990), 231-258. Zbl0721.34091
- [14] Y. Naito, Asymptotic behavior of decaying nonoscillatory solutions of neutral differential equations, Funkcial. Ekvac. 35 (1992), 95-110. Zbl0771.34054
- [15] S. Tanaka, Existence of positive solutions for a class of first-order neutral functional differential equations, J. Math. Anal. Appl. 229 (1999), 501-518. Zbl0920.34066

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