ISSN 1880-2818

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ISSN 1880-2818

数理解析研究所講究録 1547

現象からの関数方程式

京都大学数理解析研究所

2007 年 4 月

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RZMS K6kyOroku 1547

Functional Equations Based upon Phenomena

April, 2007

Research Instztute for Mathematical Siciences

Kyoto Universzty, I¡yoto, ,lapan

This is a report of research done at Research lnstitute for Mathematical

Sciences, Kyoto University The papers contamed herem are m final form

and will not be subrmtted for publication elsewhere

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現象からの関数:方程式

Functional Equations Based upon Phenomena RMS研究集会報告集

2006年11月6日{}˜ 11月10日

研究代表者上村豊(Yutaka Kamumura)

1競争的伝染病モデルの数理解析一一一。。一一一一一一・一一一…。・一・・一一・一一一e。一e。e一・一・・一一一一一一一一一・1 大阪府大・工学(Osaka PrefectUre U)岩見真吾(Shlngo Iwam1)

〃原惟行 (Tadayuk1 Hara)

2 Remark on Existence of PosMve Radial S olutioms for Semilmear Elliptic Equations

Wlth Harmonlc Term一e-eeeee一 b一一一ee一一一一一dte一一一一一e一一一一e-ee一一一d一一一一eee-ee一一e-eee-e-e-e-ee-e-e一一一一一一一一一一一一Dpeee一一10 岐阜大・工(GlfU U) 淺川秀一(Hidekazu Asakawa)

3 . Asymptotic forrns of weakly mcreasmg p osMve solutions of quasilmear ordmary

dlfferentlal equatrons一..一.ee .ee-ee . e一.e .一一.. e一一一一一一 .e 一一e.e-e..e一一 .. 一.e-eeeeee 18 広島大・理学(Hlroshlma U) 宇佐美広介(Hiroyuki Usami) 4転移点と特異点を持つ2階線形常微分方程式について

On asymptotics of a second order lmear O D E with a turning-regular smgular point一一27 慶工大・理工(Kelo U) 中野實(Mmoru Nakano)

5 Steady state analysls for some de lay equations一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一34 静岡大・理工学(Shlzuoka U) 中岡慎治(ShlnJi Nakaoka)

6植物とその栄養量の動態モデルとその展望 …………ee一一e・e一一e一・・一e・…一一一一一一一一一一一43 静岡大・創造科学技術(Shlzuoka U)岩田繁英(Shigehlde lwata)

7エネルギー依存逆散乱理論一・b一・一…一一t一一・一・p一一・・e・一・一一。一…一一・一一・。一一一・一一一en。。一一・一・一一一一一51 東京海洋大・海洋科学

(Tokyo U Manne Scl and Tech)上村豊(Yutaka Kamlmura)

8 A Representation of S olutions for Penodic Lmear Differential Equations一一一一一一一一一一一一一一59 電気通信大(UElectro-Commumcatlons)内藤敏機(Toshh Mto)

〃申正善 (Jong Son Shln)

9 Global asymptotrc stability for half-lmear differential equations

w血bounded coeffic1ents一一一一。一一一一…tp。e-e・・一一一一・・一一…一一一。。一一一一一一。。。一一一・一 e一一・・一。一一一一・・一一一一一68

島根大・総合理工学(Shlmane U)鬼塚政一(Masakazu・Onnsuka) 島根大・総合理工(Shlmane U) 杉江実郎(Jltsuro Sugle)

10固有値が1の二階非線形差分方程式に帰着される、ある関数方程式について,..78 愛知学泉大・経営(Alch1 Gakusen U)鈴木まみ(M aml Suzukl)

1 1 Oscillation constants of nonlmear differential equations with delay一一一一一一一一一一一一一一一一一一一一一87 上智大・理工(Sophla U) 山岡直人(Naoto Yamaokm)

1 2 Perron Type Theorems for Nonlmear Functiona1 Difference Equations一一一一一一一一一一一一一一…一一一一94 大阪府大・工(Osaka Prefecture U)松井和幸(Kazuyuki Matsu1)

〃松永秀章 (Hldeak1 Mats 岨 aga)

一1一

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13

劣線形楕円型方程式の正値解に対する比較定理とアプリオリ評価一

. .

。

.100

長崎総合科学大・工

(Nagasakl Inst Ap Scl)

梶木屋龍治

(RyqJ1 KaJikiya)

1 4 GENERJC CONDITIONS FOR DUCK SOLUTIONS IN R n 一一一一 …・・一一一107

武蔵工大

(Musashl Inst Tech)

臨画清之

(Kiyoyuk1 Tchizawa)

15 Positlve solutions for semilmear elllptlc equatlons mvolv岨g Dmac measures一一一一一一。一一一一114

神戸大・工

(Kobe U)

内藤雄基

(Ytikt Nalto)

東北大・理学

(Tohoku U)

佐藤得志

(Tokmshl S ato) 1 6 On the umqueness of nodal radial solutions of superl mear elliptic equations

maball一一一一。一一一・●.一一一一一一一一一一一.e一一虚聞■一口鱒齢一一一一一.一一■一一一一一一。噸.一・o鳳・一。一一一鱒.e・一… ■6n■騎噛鱒一。一一一一一一.… ●幽一一一一一一120 岡山理大・理(Okayama U Scl)田中敏(Satoshl Tanaka)

1 7 Artificial Potential Fields with Asymptotic S tab ility Properties一一一一一一一一一一一一一一一一一一一一一一一一一一125 U South Pacific, Frp Jito Vanualailai

,i B ibhya Sharma

神戸大・工

(Kobe U)

中桐信一

(Shln

・

ichi Nakagrn) 1 8 Posture C ontrol and Stability of a Gen eral 1-Trailer System

A Lyapunov Approach一一一一一・一一一一一一一一一・一・・一一一一一一一一・b一一一一一一一一一一一一・一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一134 USouth Pacific, Fpt Bibhya Sharrna

ii J ito Vanualailai

神戸大・工

(Kobe U)

中桐信一

(Shm

・

ich1 Nakagin)

1 9 Optimal parameters for damped S ine-Gordon equation一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一144

Korea U Tcch and Edu 河準洪(Ju:血ong Ha)

UOklahoma S emion Gutman

20強減衰項を持つ非線形波動方程式の空間パラメータに関する同定問題一・・teee一・一一152 神戸大・工(Kobe U) 中桐信一(Shln・1chi Nakagln) Korea U Tech and Edu 河準洪(Junhong Ha) U South Pacific, Frp J ito Vanualailai

21 2階半線形楕円型方程式系の正値全域解の存在一一一一一…一・一一一一一一一一一一一一一e-e-161 尾道大・経済情報(Onomlchl U) 寺本智光(Tomomltsu Teramoto) 2 2 Stability of Chemostat-Type Equations and Biodiversity一一一一一一一一一一一一一一一一一一一一一一一一一一・一一一一一一一一一170

静岡大・創造科学技術(Shlzuoka U)齋藤保久(Yasuhlsa Salto)

23.2次関数と双線形関数を特徴づける函数方程式・一…一一・一・・一一一t・一・一一一一・一・。一一一一一一176 岡山理大・理(Okayama U Sc1)春木茂(Shlgeru Haruki)

神戸大・工

(Kobe U)

中桐信一

(Shm

・

1chi Nakagln) 2 4 On eventually uniformly asymptotical stab ihty to finite covenngs of penodic

pOMts for dlfference equatloms一一一一一一一一一一一一一一一一一一t一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一185 阪大・情報科学(Osaka U) 齋藤誠慈(Serp Salto)

2 5 A Vma1 lnfection Model wnh S aturatmg Expamsion and lmmune lmpairment

一一一一一一一一一一一

191 Southwest U Zhipmg Wang

Southwest U/静岡大(Shlzuoka U) Xlammg Llu

・11騨