ヤマザキ ノリアキ   Yamazaki Noriaki
  山崎 教昭
   所属   神奈川大学  工学部 数学教室
    神奈川大学大学院  工学研究科 工学専攻(応用物理学領域)
   職種   教授
言語種別 英語
発行・発表の年月 2014
形態種別 学術雑誌
標題 Positive solutions for impulsive differential equations with mixed monotonicity and optimal control
執筆形態 共著
掲載誌名 Abstr. Appl. Anal.
出版社・発行元 Hindawi Publishing Corporation
巻・号・頁 Art. ID 974968,pp.1-11
概要 We consider positive solutions and optimal control problem for a second order impulsive differential equation with mixed
monotone terms. Firstly, by using a fixed point theorem of mixed monotone operator, we study positive solutions of the boundary
value problem for impulsive differential equations with mixed monotone terms, and sufficient conditions for existence and
uniqueness of positive solutions will be established. Also, we study positive solutions of the initial value problem for our system.
Moreover, we investigate the control problem of positive solutions to our equations, and then, we prove the existence of an optimal
control and its stability. In addition, related examples will be given for illustrations.