Philos-type oscillation criteria for linear differential equations with impulsive effect

Journal of Mathematical Analysis and Applications Volume 470 Issue 2 Page 911-930 published_at 2019-02
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Title
Philos-type oscillation criteria for linear differential equations with impulsive effect
Creator
Ishihara Kazuki
Source Title
Journal of Mathematical Analysis and Applications
Volume 470
Issue 2
Start Page 911
End Page 930
Journal Identifire
ISSN 0022-247X
Descriptions
The present paper deals with the problem of oscillation for a second-order linear differential equation in which an impulsive effect is considered. This equation can be regarded as an equation of motion in which the moving speed of a mass point changes sharply by some influence. It is proved that there is a case that the mass point may oscillate due to the influence of the impulsive effect even if the mass point does not oscillate in the model removing the impulsive effect. It is also shown that the obtained results extend some previous ones through the use of an example.
Subjects
Oscillation problem ( Other)
Impulse ( Other)
Riccati transformation ( Other)
Integral averaging technique ( Other)
Language
eng
Resource Type journal article
Publisher
Elsevier
Date of Issued 2019-02
Publish Type Accepted Manuscript
Access Rights open access
Relation
[DOI] 10.1016/j.jmaa.2018.10.041