- 2007 - 2008 Algebraic analytical study of non-local differential Equations and convolution equations
- 2005 - 2006 Algebraic study of non-local differential equations and operational calculus
- 2003 - 2005 Study of global solutions to Fuchsian equations and local solutions to linear PDE
- 2002 - 2004 Studies on the hypergeometric diffeential equations considering the application for the coding theory
- 2000 - 2001 Study on the K3 modular function and its arithmetic aspects
- 1997 - 1998 CIASSIFICATIONS OF FONC TIONAL DIFFERENTIAL EQUATIONS BY PROCESSES
- 1996 - 1996 畳込み方程式および無限階微分方程式の代数解析的研究
- 1996 - 1996 バナツハ空間上の関数微分方程式の解の定性的研究
- 1995 - 1995 正則函数のクラスに於ける擬微分方程式系の代数解析的研究
- 1994 - 1994 偏微分方程式の初期値問題の複素解析的研究
- 1993 - 1994 多変数解析関数の積分と偏微分方程式の解の特異性
- 1991 - 1991 PicardーFuchs方程式の数論的幾何学的性質の研究
- 1988 - 1988 非線型解析学と多段決定過程
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