著者 |
Ishihara, Kazuki
Department of Mathematics, Shimane University
|
内容記述(抄録等) | 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.
|
主題 | Oscillation problem
Impulse
Riccati transformation
Integral averaging technique
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掲載誌情報 |
Journal of Mathematical Analysis and Applications
470
( 2
), 911
- 930
, 2019-02
|
出版者 | Elsevier
|