Mathematical Models and Dynamics

of Functional Equations

The above mentioned RIMS workshop will take place. Anyone interested is
welcome!

**Place**

Room 115

Research Institute for Mathematical Sciences (RIMS)

Kyoto University

**Date **

10-14 November, 2003

Program

**Monday, November 10**

14:00`14:30

Takeshi Nishikawa (The Univ. of Electro-Communications), Nguyen Van Minh (Hanoi
Univ. of Science), Toshiki Naito (The Univ. of Electro-Communications)

Necessary and sufficient conditions for all mild solutions of Functional
Differential Equations to be asymptotic periodic

14:30`15:00

Yasuhisa Saito (Shizuoka Univ.)

A Time-Delay Model for Inverse Trophic Relationship

15:10`15:35

Naoki Yoshida (Osaka Prefecture Univ.)

Permanence of a Delayed $SIR$ Epidemic Model with Logistic Process

15:35`16:05

Yasuhiro Takeuchi (Shizuoka Univ.)

Global Stability of an SIR Epidemic Model with Time Delay

16:05`16:35

Makoto Iima, Keita Suzuki (Hokkaido Univ)

Numerical analysis of a Tag model in circle

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**Tuesday, November 11**

9:30`10:10

Kazufumi Shimano (Tokyo Metropolitan Univ.)

Homogenization and penalization of Hamilton-Jacobi equations with integral terms

10:10`10:50

Hiroyuki Usami (Hiroshima Univ.), Tomomitsu Teramoto (Onomichi Univ.)

Oscillation theorems of quasilinear elliptic equations with arbitrary
nonlinearities

11:00`11:50

Miyashita Toshiya, Takashi Suzuki (Osaka Univ.)

On a semilinear elliptic eigenvalue problem with non-local term

13:30`14:00

Shinji Nakaoka (Osaka Prefecture Univ.)

Stability analysis for a physiological clock model with delayed negative
feedvack loop

14:05`14:55

Jingan@CuiC(Nanjing Normal Univ.)

The effect of dispersal on population dynamics

15:05`15:45

Jong Son Shin (Korea Univ.), Toshiki Naito (The Univ. of Electro-Communications)

A representation of solutions of linear difference equations with constant
coefficients

15:45`16:15

Hidekazu Asakawa (Gifu University)

Existence of slowly decaying positive solutions for some superlinear 2nd order
ODE

16:15`16:45

Manabu Naito (Ehime Univ.)

Oscillation Theorems for 4-dimensional Emden-Fowler differential systems

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**Wednesday, November 12**

9:30`9:50

Keita Ashizawa, Rinko Miyazaki (Shizuoka Univ.)

An application of the monotone theory to a delay differential equation

10:00`11:30

mSpecial Session] Hiroshi Matano (Univ. of Tokyo)

Order-preserving dynamical systems in the presence of symmetry: theory and
applications I

13:30`15:00

mSpecial Sessionn Hiroshi Matano (Univ. of Tokyo)

Order-preserving dynamical systems in the presence of symmetry: theory and
applications II

15:10`15:30

Shigeru Haruki (Okayama Univ. of Science), Shin-ichi Nakagiri (Kobe Univ.)

Partial Difference Functional Equations Arising from the Cauchy-Riemann
Equations

15:30`16:00

Kiyoyuki Tchizawa (Musashi Institute of Tech)

Duck Solutions in Higher Dimension

16:10`16:40

Mami Suzuki (Aichi Gakusen Univ.)

Analytic solutions of Nonliner Differece Equation

16:40`17:00

Yoshiaki Muroya (Waseda Univ), Ishiwata Emiko (Tokyo Univ. of Science)

Global stability for nonlinear difference equations with variable delays

17:00`17:20

Ryusuke Kon (Shizuoka Univ.)

Competitive exclusion in discrete dynamical systems

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**Thursday, November 13**

9:05`9:25

Toru Sasaki (Okayama Univ.)

Local prevension in an SIS model with diffusion

9:30`10:00

Katumi, Kamioka (Univ. of Tokyo)

Coexistence steady state of sessile metapopulation model: The case of two
species and two habitat

10:00`10:30

Yukio Kan-on (Ehime Univ.)

Bifurcation structure of stationary solutions of a Lotka-Volterra competition
model with diffusion

10:35`11:05

Fumio Nakajima (Iwate Univ.)

A predator-prey system model of singular equations

11:10`11:40

Jito Vanualailai (Univ. of the South Pacific), Shin-ichi Nakagiri (Kobe
Univ.)

Exponential and Non-exponential Convergence of Solutions in Some Class of
Nonlinear Systems with Applications to Neural Networks

13:30`14:00

Naoto Yamaoka, Jitsuro Sugie (Shimane Univ.)

An oscillation theorem for second-order nonlinear differential equations with p-Laplacian

14:05`14:35

Satoshi Tanaka (Hachinohe National College of Technology)

Uniqueness of solutions with prescribed numbers of zeros for two-point boundary
value problems

14:35`15:05

Tomomitsu Teramoto (Onomichi Univ.)

Nonexistence of nonnegative entire solutions of second order semilinear elliptic
systems

15:15`15:55

Shin-ichi Nakagiri (Kobe Univ), Junhong Ha (Korea Univ. of Technology and
Education)

Identification Problems for Nonlinear Perturbed Sine-Gordon Equations

15:55`16:25

Junhong Ha (Korea Univ. of Technology and Education), Jito Vanualailai (Univ. of
the South Pacific), Shin-ichi Nakagiri (Kobe Univ.)

A Collision Avoidance and Attraction Problem of a Vehicle

16:25`16:55

Jin-Soo Hwang, Shin-ichi Nakagiri (Kobe Univ.)

Boundary Control Problems for Viscoelastic Systems with Long Memory

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**Friday, November 14**

9:05`9:25

Tsuyoshi Kajiwara, Takuma Iuchi (Okayama Univ.)

Mathematical models of infectious disease with delay

9:30`10:00

Yanagiya Akira (Advanced Institute For Complex Systems Waseda Univ.)

Mathematical Models for Grain Grooving

10:00`10:30

Tomoyuki Tanigawa (Toyama National College of Technology)

Existence of rapidly varying solutions of second order half-linear differential
equations

10:40`11:10

Seiji Saito (Osaka Univ.)

Fredholm Equations and Volterra Equations Arising from Fuzzy Boundary
Differential Equations

11:10`11:40

Osamu Tagashira (Osaka Prefecture Univ.)

Delayed feedback control chemostat models

11:40`12:10

Rinko Miyazaki (Shizuoka Univ.)

Stabilization of unstable periodic orbits on planar systems

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