Oscillations of Second Order Impulsive Differential Equations with Advanced Arguments

Ubon Akpan Abasiekwere; I. M. Esuabana; I. O. Isaac

Oscillations of Second Order Impulsive Differential Equations with Advanced Arguments

Ubon Akpan Abasiekwere * § Ph.D in Mathematics

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I. M. Esuabana

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I. O. Isaac

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University of Uyo

Oscillations of Second Order Impulsive Differential Equations with Advanced Arguments

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Abstract

A comparison theorem providing sufficient conditions for the oscillation of all solutions of a class of second order linear impulsive differential equations with advanced argument is formulated. A relation between the oscillation (non-oscillation) of second order impulsive differential equations with advanced arguments and the oscillation (non-oscillation) of the corresponding impulsive ordinary differential equations is established by means of the Lebesgue dominated convergence theorem. Obtained comparison principle essentially simplifies the examination of the studied equations.

References

11 Cites in Article

Reference Format

D Bainov,P Simeonov (1998). Oscillation Theory of Impulsive Differential Equations.
L Erbe,Qingkai Kong,B Zhang (1995). Oscillation Theory for Functional Differential Equations.
K Gopalsamy,B Zhang (1989). On delay differential equations with impulses.
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I Isaac,Z Lipcsey,U Ibok (2009). Linearized Oscillations in Autonomous Delay Impulsive Differential Equations.
I Isaac,Z Lipcsey (2010). Oscillations of Scalar Neutral Impulsive Differential Equations of the First Order with variable Coefficients.
I Isaac,Z Lipcsey (2010). Oscillations in Linear Neutral Delay Impulsive Differential Equations with Constant Coefficients.
I Isaac,Z Lipcsey,U Ibok (2011). Nonoscillatory and Oscillatory Criteria for First Order Nonlinear Neutral Impulsive Differential Equations.
G Ladde,V Lakshmikantham,B Zhang (1987). Oscillation Theory of Differential Equations with Deviating Arguments.
V Lakshmikantham,D Bainov,P Simeonov (1989). Theory of Impulsive Differential Equations.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Ubon Akpan Abasiekwere, I. M. Esuabana, I. O. Isaac. 2018. "Oscillations of Second Order Impulsive Differential Equations with Advanced Arguments". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F1).

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GJSFR Volume 18 Issue F1

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 31B35

Submission ReceivedNovember 21, 2017
Peer Review Double Blind
Handling Editor
Accepted December 12, 2017
Published December 25, 2017

Version of record

v1.2

Issue date

January 31, 2018

Language

English

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Article Matrices

Total Score: 148

Country: Nigeria

Subject: Global Journal of Science Frontier Research

Authors: Ubon Akpan Abasiekwere, Ita Micah Esuabana, Idongesit Okon Isaac, Zsolt Lipcsey (PhD/Dr. count: 0)

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Publish Date: 2017 12, Mon

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