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language
eng
Author
Ishihara, Kazuki Department of Mathematics, Shimane University
Description
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.
Subject
Oscillation problem
Impulse
Riccati transformation
Integral averaging technique
Journal Title
Journal of Mathematical Analysis and Applications
Volume
470
Issue
2
Start Page
911
End Page
930
ISSN
0022-247X
Published Date
2019-02
DOI
Publisher
Elsevier
NII Type
Journal Article
Format
PDF
Text Version
著者版
OAI-PMH Set
Faculty of Science and Engineering