Oscillation criteria for second-order nonlinear neutral delay dynamic equations

Ravi P. Agarwal; Donal O'Regan; S. H. Saker

doi:10.1016/j.jmaa.2004.06.041

Oscillation criteria for second-order nonlinear neutral delay dynamic equations

Ravi P. Agarwal, Donal O'Regan, S. H. Saker

Mathematics

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131 Citations (Scopus)

Abstract

In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation (r(t)((y(t) + p(t)y(t-τ))^Δ)^γ) ^Δ + f(t, y(t-δ)) = 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of these equations on time scales, so this paper initiates the study.

Original language	English
Pages (from-to)	203-217
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	300
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2004.06.041
Publication status	Published - 1 Dec 2004

Keywords

Delay
Dynamic equations
Neutral
Oscillation
Time scale

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP;O'Regan, D;Saker, SH

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10.1016/j.jmaa.2004.06.041

Cite this

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abstract = "In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation (r(t)((y(t) + p(t)y(t-τ))Δ)γ) Δ + f(t, y(t-δ)) = 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of these equations on time scales, so this paper initiates the study.",

keywords = "Delay, Dynamic equations, Neutral, Oscillation, Time scale",

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T1 - Oscillation criteria for second-order nonlinear neutral delay dynamic equations

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

AU - Saker, S. H.

PY - 2004/12/1

Y1 - 2004/12/1

N2 - In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation (r(t)((y(t) + p(t)y(t-τ))Δ)γ) Δ + f(t, y(t-δ)) = 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of these equations on time scales, so this paper initiates the study.

AB - In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation (r(t)((y(t) + p(t)y(t-τ))Δ)γ) Δ + f(t, y(t-δ)) = 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of these equations on time scales, so this paper initiates the study.

KW - Delay

KW - Dynamic equations

KW - Neutral

KW - Oscillation

KW - Time scale

UR - https://www.scopus.com/pages/publications/7544239851

U2 - 10.1016/j.jmaa.2004.06.041

DO - 10.1016/j.jmaa.2004.06.041

M3 - Article

SN - 0022-247X

VL - 300

SP - 203

EP - 217

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Oscillation criteria for second-order nonlinear neutral delay dynamic equations

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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