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

• Sugie, Jitsuro

• Ishihara, Kazuki

Abstract

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.

Journal

• Journal of Mathematical Analysis and Applications

  Journal of Mathematical Analysis and Applications 470 (2), 911-930, 2019-02

  Elsevier

Keywords

• Oscillation problem
• Impulse
• Riccati transformation
• Integral averaging technique

Details

• CRID: 1050005822290239232
• NII Article ID: 120006979680
• ISSN: 0022247X
• Web Site: http://ir.lib.shimane-u.ac.jp/45164
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles