Characterizations of Positive Linear Functional Differential Equations

• Ngoc Pham Huu Anh

  The University of Electro-Communications

• Naito Toshiki

  The University of Electro-Communications

• Shin Jong Son

  The University of Electro-Communications

抄録

In this paper, we first prove that if a linear neutral functional differential equation is positive then it must degrade into a linear functional differential equation of retarded type. Then, we give some explicit criteria for positive linear functional differential equations. Consequently, we obtain a novel criterion for exponential stability of positive linear functional differential equations.

収録刊行物

• Funkcialaj Ekvacioj

  Funkcialaj Ekvacioj 50 (1), 1-17, 2007

  日本数学会函数方程式論分科会

キーワード

• Linear functional differential equation
• Positive system
• Stability

詳細情報

• CRID: 1390001205114225152
• NII論文ID: 130000140678
• DOI: 10.1619/fesi.50.1
• MRID: 2332076
• ISSN: 05328721
• Web Site: http://www.jstage.jst.go.jp/article/fesi/50/1/50_1_1/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可