Oscillation of a second-order delay differential equation with middle term

L. Berezansky; E. Braverman

doi:10.1016/S0893-9659(99)00160-3

Oscillation of a second-order delay differential equation with middle term

L. Berezansky, E. Braverman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

For the second-order delay differential equation with the middle term cursive Greek chï(t) + b(t) cursive Greek chi̇(t) + ∑^m _k=1 a_k(t)cursive Greek chi(g_k(t)) = 0, g_k(t) ≤ t, oscillation conditions are presented. The results are obtained by the comparison of the delay equation with the corresponding ordinary differential equations containing the middle term.

Original language	English
Pages (from-to)	21-25
Number of pages	5
Journal	Applied Mathematics Letters
Volume	13
Issue number	2
DOIs	https://doi.org/10.1016/S0893-9659(99)00160-3
State	Published - 4 Jan 2000

Keywords

Comparison theorems
Equations of the second order
Linear delay differential equations
Oscillation

ASJC Scopus subject areas

Applied Mathematics

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10.1016/S0893-9659(99)00160-3

Cite this

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title = "Oscillation of a second-order delay differential equation with middle term",

abstract = "For the second-order delay differential equation with the middle term cursive Greek ch{\"i}(t) + b(t) cursive Greek ch{\.i}(t) + ∑m k=1 ak(t)cursive Greek chi(gk(t)) = 0, gk(t) ≤ t, oscillation conditions are presented. The results are obtained by the comparison of the delay equation with the corresponding ordinary differential equations containing the middle term.",

keywords = "Comparison theorems, Equations of the second order, Linear delay differential equations, Oscillation",

author = "L. Berezansky and E. Braverman",

note = "Funding Information: Supported by Israel Ministry of Absorption and by Israel Ministry of Science and Technology.",

year = "2000",

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doi = "10.1016/S0893-9659(99)00160-3",

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T1 - Oscillation of a second-order delay differential equation with middle term

AU - Berezansky, L.

AU - Braverman, E.

N1 - Funding Information: Supported by Israel Ministry of Absorption and by Israel Ministry of Science and Technology.

PY - 2000/1/4

Y1 - 2000/1/4

N2 - For the second-order delay differential equation with the middle term cursive Greek chï(t) + b(t) cursive Greek chi̇(t) + ∑m k=1 ak(t)cursive Greek chi(gk(t)) = 0, gk(t) ≤ t, oscillation conditions are presented. The results are obtained by the comparison of the delay equation with the corresponding ordinary differential equations containing the middle term.

AB - For the second-order delay differential equation with the middle term cursive Greek chï(t) + b(t) cursive Greek chi̇(t) + ∑m k=1 ak(t)cursive Greek chi(gk(t)) = 0, gk(t) ≤ t, oscillation conditions are presented. The results are obtained by the comparison of the delay equation with the corresponding ordinary differential equations containing the middle term.

KW - Comparison theorems

KW - Equations of the second order

KW - Linear delay differential equations

KW - Oscillation

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U2 - 10.1016/S0893-9659(99)00160-3

DO - 10.1016/S0893-9659(99)00160-3

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EP - 25

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 2

ER -

Oscillation of a second-order delay differential equation with middle term

Abstract

Keywords

ASJC Scopus subject areas

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