Oscillation Behavior of Second Order Nonlinear Dynamic Equation with Damping on Time Scales

Li, Fanfan and Han, Zhenlai (2018) Oscillation Behavior of Second Order Nonlinear Dynamic Equation with Damping on Time Scales. Open Journal of Mathematical Analysis, 2(2018 (2). pp. 78-88. ISSN 26168103

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Abstract

n this paper, we use Riccati transformation technique to establish some new oscillation criteria for the second order nonlinear dynamic equation with damping on time scales ( r ( t ) ( x Δ ( t ) ) α ) Δ − p ( t ) ( x Δ ( t ) ) α + q ( t ) f ( x ( t ) ) = 0. Our results not only generalize some existing results, but also can be applied to the oscillation problems that are not covered in literature. Finally, we give some examples to illustrate our main results.

Item Type: Article
Subjects: Open Research Librarians > Mathematical Science
Depositing User: Unnamed user with email support@open.researchlibrarians.com
Date Deposited: 28 Jan 2023 09:41
Last Modified: 11 Nov 2023 05:53
URI: http://stm.e4journal.com/id/eprint/102

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