Integral condition for oscillation of half-linear differential equations with damping

• Sugie, Jitsuro

• Ishibashi, Kazuki

Abstract

The purpose of this paper is to provide an oscillation theorem that can be applied to half-linear differential equations with time-varying coefficients. A parametric curve by the coefficients is focused in order to obtain our theorem. This parametric curve is a generalization of the curve given by the characteristic equation of the second-order linear differential equation with constant coefficients. The obtained theorem is proved by transforming the half-linear differential equation to a standard polar coordinates system and using phase plane analysis carefully.

Journal

• Applied Mathematics Letters

  Applied Mathematics Letters 79 146-154, 2018-05

Keywords

• Oscillation
• Half-linear differential equation
• Phase plane analysis

Details

• CRID: 1050566774749949312
• NII Article ID: 120006845271
• ISSN: 08939659
• Web Site: http://ir.lib.shimane-u.ac.jp/45171
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles