The oscillation of certain higher-order functional differential equations

R. P. Agarwal; S. R. Grace; D. O'Regan

doi:10.1016/S0895-7177(03)00079-7

The oscillation of certain higher-order functional differential equations

R. P. Agarwal, S. R. Grace, D. O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

49 Citations (Scopus)

Abstract

Some new criteria for the oscillation of general functional differential equations of the form d/dt ([1/a_n-1(t) d/dt 1/a_n-2(t) d/dt ... 1/a₁(t) d/dt x(t)]^α) + q(t)f(x[g(t)] = 0, n is even, are established.

Original language	English
Pages (from-to)	705-728
Number of pages	24
Journal	Mathematical and Computer Modelling
Volume	37
Issue number	7-8
DOIs	https://doi.org/10.1016/S0895-7177(03)00079-7
Publication status	Published - 23 May 2003

Keywords

Comparison
Half-linear
Linearization
Nonoscillation
Oscillation

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10.1016/S0895-7177(03)00079-7

Cite this

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abstract = "Some new criteria for the oscillation of general functional differential equations of the form d/dt ([1/an-1(t) d/dt 1/an-2(t) d/dt ... 1/a1(t) d/dt x(t)]α) + q(t)f(x[g(t)] = 0, n is even, are established.",

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AU - Grace, S. R.

AU - O'Regan, D.

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AB - Some new criteria for the oscillation of general functional differential equations of the form d/dt ([1/an-1(t) d/dt 1/an-2(t) d/dt ... 1/a1(t) d/dt x(t)]α) + q(t)f(x[g(t)] = 0, n is even, are established.

KW - Comparison

KW - Half-linear

KW - Linearization

KW - Nonoscillation

KW - Oscillation

UR - https://www.scopus.com/pages/publications/0037516942

U2 - 10.1016/S0895-7177(03)00079-7

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VL - 37

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EP - 728

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 7-8

ER -

The oscillation of certain higher-order functional differential equations

Abstract

Keywords

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