Characteristic equation for autonomous planar half-linear differential systems

M. Onitsuka, S. Tanaka

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The autonomous planar half-linear differential system (Formula Presented.) is considered, where a, b, c and d are real constants, p and p are positive numbers with 1/p + 1/p= 1 , and ϕq(s) = |s|q - 2s for s≠ 0 and ϕq(0) = 0 , q> 1. When p= 2 , this system is reduced to the linear system (Formula Presented.), which can be solved by eigenvalues of the matrix (Formula Presented.), that is, roots of the characteristic equation (λ- a) (λ- d) - bc= 0. In this paper, the characteristic equation for the autonomous planar half-linear differential system is introduced, and the asymptotic behavior of its solutions is established by roots of the characteristic equation.

Original languageEnglish
Pages (from-to)336-364
Number of pages29
JournalActa Mathematica Hungarica
Volume152
Issue number2
DOIs
Publication statusPublished - 2017 Aug 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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