Study on the existence of pseudo almost periodic solutions of difference equations and due to the numerical analytical methods of functional ED (Erectile dysfunction) model by the radiation

2016 Fiscal Year Final Research Report

• Project/Area Number: 26400181
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical analysis
• Research Institution: Okayama University of Science
• Principal Investigator: Hamaya Yoshihiro 岡山理科大学, 総合情報学部, 教授 (40228549)
• Research Collaborator: SAITO Kaori 岩手県立大学, 宮古短期大学部, 講師 ; NAGAI Atsushi 川崎医科大学, 医学部泌尿器科, 教授 ; JO Yoshimasa 川崎医科大学, 医学部泌尿器科, 講師 ; HIRATSUKA Junichi 川崎医科大, 医学部放射線医学, 教授 ; YODENN Eisaku 川崎医科大, 医学部放射線医学, 准教授
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: 時間の遅れを持つ関数差分方程式 / 擬概周期解 / 概周期族の解 / 機能性EDモデル / テストステロンモデル / 解の安定性の判定条件 / Liapunovp汎関数 / 放射能汚染モデル

Outline of Final Research Achievements

For constructing the ED model, we show the asymptotic stability of the blood and lymph model of infectious diseases in a body and the reaction diffusion partial differential equations with finite delay. Moreover, we study the existence theorem of almost periodic solutions and the asymptotic stability of control model with a time lag of testosterone secretion, announced at the International Conference of Poland and submitted a paper.
In 2016, Osaka Prefecture University, Professor Matsunaga in joint International Conference on Difference Equation and Applications held in Osaka and, the Satellite Conference held in the institution, Okayama University of science, in Okayama.

Free Research Field

関数差分方程式の解の大域的性質