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No.1838
常微分方程式の大域的定性理論とその応用
Global qualitative theory of ordinary differential equations and its applications
RIMS 研究集会報告集
 
2012/11/07〜2012/11/09
田中 敏
Satoshi Tanaka
 
目 次
 
1. Global bifurcation and exact multiplicity of positive solutions for a positone multiparameter problem with cubic nonlinearity (Global qualitative theory of ordinary differential equations and its applications)---1
    Nat. Chiao-Tung U. / Nat. Tsing Hua U. / Nat. Tsing Hua U.   Tzeng,Chih-Chun / Hung,Kuo-Chih / Wang,Shin-Hwa
 
2. Global bifurcation diagrams and exact multiplicity of positive solutions for a one-dimensional prescribed mean curvature problem arising in MEMS (Global qualitative theory of ordinary differential equations and its applications)---21
    Nat. Taipei U. Edu. / Nat. Tsing Hua U. / Nat. Tsing Hua U.   Cheng,Yan-Hsiou / Hung,Kuo-Chih / Wang,Shin-Hwa
 
3. Blow-up and pointwise comparison principles for the generalized Riccati differential equation and application to oscillation of some nonlinear ode’s (Global qualitative theory of ordinary differential equations and its applications)---41
    U. Zagreb   Pasic,Mervan
 
4. Lapidus zeta functions of arbitrary fractals and compact sets in Euclidean spaces (Global qualitative theory of ordinary differential equations and its applications)---48
    U. Zagreb    Zubrinic,Darko
 
5. Existence and Nonexistence of solutions to the Emden-Fowler equation on a geodesic ball in $\rm{S}^\it{N}$ (Global qualitative theory of ordinary differential equations and its applications)---54
    大阪府立大学工学研究科   小坂 篤志 (Kosaka,Atsushi)
 
6. UNIQUENESS OF POSITIVE RADIAL SOLUTIONS OF $\rm{\Delta u+g(r)u+h(r)u^p=0}$ AND ITS APPLICATIONS (Global qualitative theory of ordinary differential equations and its applications)---64
    横浜国立大学工学研究院 / 防衛大学校   塩路 直樹 / 渡辺 宏太郎 (Shioji,Naoki / Watanabe,Kohtaro)
 
7. Generalized Jacobian elliptic functions (Global qualitative theory of ordinary differential equations and its applications)------71
    芝浦工業大学システム理工学部   竹内 慎吾 (Takeuchi,Shingo)
 
8. Bifurcation structure of stationary layers for generalized Allen-Cahn equations with nonlocal constraint (Global qualitative theory of ordinary differential equations and its applications)---102
    電気通信大学情報理工学研究科   久藤 衡介 (Kuto,Kousuke)
 
9. Multiplicity of solutions in the Lotka-Volterra competition with cross-diffusion (Global qualitative theory of ordinary differential equations and its applications)---116
    龍谷大学理工学部   四ツ谷 晶二 (Yotsutani,Shoji)
 
10. Center Manifold Theorem for Integral Equations (Global qualitative theory of ordinary differential equations and its applications)---126
    大阪府立大学工学研究科 / 岡山理科大学理学部 / 岡山理科大学理学部 / Columbus State U.   松永 秀章 / 村上 悟 / 長渕 裕 / Nguyen Minh Van (Matsunaga,Hideaki / Murakami,Satoru / Nagabuchi,Yutaka / Nguyen,Minh Van)
 
11. PRUFER’S TRANSFORMATION (Global qualitative theory of ordinary differential equations and its applications)-------------------149
    U. Calgary   Binding,Paul