language 
eng

Author 
Ishibashi, Kazuki
Department of Mathematics, Shimane University, Matsue

Description  The purpose of this paper is to provide an oscillation theorem that can be applied to halflinear differential equations with timevarying 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 secondorder linear differential equation with constant coefficients. The obtained theorem is proved by transforming the halflinear differential equation to a standard polar coordinates system and using phase plane analysis carefully.

Subject  Oscillation
Halflinear differential equation
Phase plane analysis

Journal Title 
Applied Mathematics Letters

Volume  79

Start Page  146

End Page  154

ISSN  08939659

Published Date  201805

DOI  
NII Type 
Journal Article

Format 
PDF

Text Version 
著者版

OAIPMH Set 
Faculty of Science and Engineering
