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TAIWANESE JOURNAL OF MATHEMATICS

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Vol. 9, No. 2 June 2005

CONTENTS

SURVEY PAPER

A Survey of Constructing Lyapunov Functions for Mathematical Models in

Population Biology Sze-Bi Hsu 151

RESEARCH PAPERS

Optimal Lower Estimates for Eigenvalue Ratios of Schrodinger Operators and Vibrating

Strings Chung-Chuan Chen , C. K. Law and F. Y. Sing 175 Global and Non-global Solutions of a Nonlinear Parabolic Equation

Jong-Sheng Guo Yung-Jen Lin Guo and Chi-Jen Wang 187 Shape and Structure of the Bifurcation Curve of a Boundary Blow-up Problem

Shin-Hwa Wang and Yueh-Tseng Liu 201 On the Homogenization of Second Order Differential Equations

Jiann-Sheng Jiang Kung-Hwang Kuo and Chi-Kun Lin 215 Estimates on Solutions to Certain Quasilinear Equations in Divergence Form

.Tsang-Hai Kuo 237 Multiple Positive Solutions for Semilinear Elliptic Equations in Esteban-lions

Domains with Holes Tsung-Fang Wu 245 Geometric Mechanics on a Step 4 Subriemannian Manifold

Ovidiu Calin and Der-Chen Chang 261 Parseval Formula for Double Laguerre Series

Chang-Pao Chen and Chin-Cheng Lin 281 Generation of Local C-Semigroups and Solvability of the Abstract Cauchy Problems

Sen-Yen Shaw and Chung-Cheng Kuo 291 Dimension Properties of Random Fractals with Overlaps

Narn-Rueih Shieh and Jinghu Yu 313

Taiwanese Journal of Mathematics is included in the list of SCI Journals beginning March 2004

TAIWANESE JOURNAL OF MATHEMATICS

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