Oscillations of Second Order Impulsive Differential Equations with Advanced Arguments

Oscillations of Second Order Impulsive Differential Equations with Advanced Arguments

Ubon Akpan Abasiekwere Ph.D in Mathematics

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Ita Micah Esuabana

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Idongesit Okon Isaac

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Zsolt Lipcsey

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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

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I Isaac,Z Lipcsey (2010). Oscillations in Linear Neutral Delay Impulsive Differential Equations with Constant Coefficients.
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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. 2018. \u201cOscillations of Second Order Impulsive Differential Equations with Advanced Arguments\u201d. 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
Pg. 25- 32

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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

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Article Matrices

Total Score: 104

Country: Unknown

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

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

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Publish Date: 2018 01, Wed

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Total Views: 3219

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