Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales

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

doi:10.1007/BF02831928

Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales

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

Mathematics

Department of Mathematical Sciences
Faculty of Science

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

20 Citations (Scopus)

Abstract

In this paper, by using the Riccati transformation technique we establish some new oscillation criteria for second-order nonlinear perturbed dynamic equation on time scales. An example illustrating our main results is also given.

Original language	English
Pages (from-to)	133-147
Number of pages	15
Journal	Journal of Applied Mathematics and Computing
Volume	20
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02831928
Publication status	Published - Jan 2006

Keywords

Oscillation
Riccati transformation technique
Second-order nonlinear dynamic equation
Time scale

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10.1007/BF02831928

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title = "Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales",

abstract = "In this paper, by using the Riccati transformation technique we establish some new oscillation criteria for second-order nonlinear perturbed dynamic equation on time scales. An example illustrating our main results is also given.",

keywords = "Oscillation, Riccati transformation technique, Second-order nonlinear dynamic equation, Time scale",

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AU - Saker, S. H.

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N2 - In this paper, by using the Riccati transformation technique we establish some new oscillation criteria for second-order nonlinear perturbed dynamic equation on time scales. An example illustrating our main results is also given.

AB - In this paper, by using the Riccati transformation technique we establish some new oscillation criteria for second-order nonlinear perturbed dynamic equation on time scales. An example illustrating our main results is also given.

KW - Oscillation

KW - Riccati transformation technique

KW - Second-order nonlinear dynamic equation

KW - Time scale

UR - https://www.scopus.com/pages/publications/30544449812

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DO - 10.1007/BF02831928

M3 - Article

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JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 1-2

ER -

Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales

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Keywords

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