### Abstract

We obtained sufficient conditions for the oscillation of all solutions of the system of neutral delay differential equations where P is an n X n diagonal matrix with diagonal entries p1, P2, …, Pn such that 0≤Pi≤1 for i = 1, 2, …, n, the delays T{hooktop} and σ_{k} for k = 1, 2, …, m are nonnegative and for each k = 1, 2, …, n the entries q_{ij} ^{(k)} of the n x n matrix Q_{k} are real numbers. Our results can be extended to systems with the Q_{k}‘s continuous n × n matrices.

Original language | English |
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Pages (from-to) | 281-286 |

Number of pages | 6 |

Journal | Differential and Integral Equations |

Volume | 1 |

Issue number | 3 |

Publication status | Published - 1988 |

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### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

### Cite this

*Differential and Integral Equations*,

*1*(3), 281-286.

**Oscillations of systems of neutral differential equations.** / Győri, I.; Ladas, G.

Research output: Contribution to journal › Article

*Differential and Integral Equations*, vol. 1, no. 3, pp. 281-286.

}

TY - JOUR

T1 - Oscillations of systems of neutral differential equations

AU - Győri, I.

AU - Ladas, G.

PY - 1988

Y1 - 1988

N2 - We obtained sufficient conditions for the oscillation of all solutions of the system of neutral delay differential equations where P is an n X n diagonal matrix with diagonal entries p1, P2, …, Pn such that 0≤Pi≤1 for i = 1, 2, …, n, the delays T{hooktop} and σk for k = 1, 2, …, m are nonnegative and for each k = 1, 2, …, n the entries qij (k) of the n x n matrix Qk are real numbers. Our results can be extended to systems with the Qk‘s continuous n × n matrices.

AB - We obtained sufficient conditions for the oscillation of all solutions of the system of neutral delay differential equations where P is an n X n diagonal matrix with diagonal entries p1, P2, …, Pn such that 0≤Pi≤1 for i = 1, 2, …, n, the delays T{hooktop} and σk for k = 1, 2, …, m are nonnegative and for each k = 1, 2, …, n the entries qij (k) of the n x n matrix Qk are real numbers. Our results can be extended to systems with the Qk‘s continuous n × n matrices.

UR - http://www.scopus.com/inward/record.url?scp=84972537213&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972537213&partnerID=8YFLogxK

M3 - Article

VL - 1

SP - 281

EP - 286

JO - Differential and Integral Equations

JF - Differential and Integral Equations

SN - 0893-4983

IS - 3

ER -