Usami Hiroyuki

ウサミヒロユキ | Usami Hiroyuki

Affiliation and department：
Other affiliations (2)：

教育推進・学生支援機構教授
工学研究科教授

Research field (4)： Basic analysis , Information theory , Geometry , Basic analysis

Research keywords (31)： differential equation , 準線形楕円型方程式 , カラマタ関数 , 逆問題 , リューヴィユ型定理 , 非線形楕円型方程式 , 解の漸近挙動 , スシルム・リューヴィユ問題 , 退化ラプラス作用素 , 準線形 , 3階常微分方程式 , 振動性 , 高階常微分方程式 , 放物型偏微分方程式 , Karamata関数 , 解の爆発 , 準線型 , 全域解 , 解の対称性 , 楕円型偏微分方程式 , 漸近挙動 , 変分法 , 準線形常微分方程式 , 常微分方程式 , 境界値問題 , 自己相似解 , 漸近解析 , 振動 , 正値解 , 楕円型方程式 , 固有値問題

Research theme for competitive and other funds (34)：

2011 - 2015 準線型常微分方程式の漸近解析とそれに基づく楕円型偏微分方程式の漸近解析
2011 - 2014 準線型常微分方程式の漸近解析とそれに基づく楕円型偏微分方程式の漸近解析
2011 - 2014 準線型常微分方程式の漸近解析とそれに基づく楕円型偏微分方程式の漸近解析
2011 - 2014 準線型常微分方程式の漸近解析とそれに基づく楕円型偏微分方程式の漸近解析
2009 - 2012 A mathematical and informatics research of combinatorial optimization algorithms in the quantum computing and the quantum entanglement

2007 - 2009 Characterization of homogeneous spaces admitting flat geometric structures by means of invariants

2007 - 2008 Oscillation theory and singular boundary value problems for higher-order ordinary differential equations

2005 - 2008 Asymptotic analysis of the nonlinear elliptic eigenvalue problems

2005 - 2008 Asymptotic Analysis of nonlinear ordinary differential equations and its applications

2004 - 2006 Isometric imbeddings of Riemannian manifolds and their rigidity

2003 - 2005 Boundary value problems for higher-order nonlinear ordinary differential equations

2002 - 2005 Potential Analysis for Sobolev functions

2002 - 2004 Analysis on the nonlinear elliptic eigenvalue problems

2002 - 2004 Asymptotic analysis of nonlinear ordinary differential equations and its applications

2001 - 2003 Structure of solutions to the system of equations describing chemotactic aggregation of cellular slime molds

2001 - 2003 Characterization of curvatures by differential equations

2001 - 2002 Study on the number of zeros of solutions to higher-order nonlinear differential equations

2000 - 2001 Groebner basis of toric ideals on lattices and its applications to mathematical physics

2000 - 2001 Research on the nonlinear elliptic eigenvalue problems by variational methods

2000 - 2001 Asymptotic analysis of ordinary differential equations, and its application to partial differential equations

1999 - 2000 Structure of solutions to Keller-Segel system

1999 - 2000 Oscillatory properties of solutions of higher order differential equations

1998 - 1999 Potential the Oretic study on quasi-regular mappings

1998 - 1999 Studies on Eigenvalue Problems of Nonlinear Elliptic Equations

1997 - 1998 Qualitative studies of solutions to elliptic equations in unbounded domains

1996 - 1996 微分方程式の解の漸近的性質

1995 - 1995 擬等角写像の境界挙動に関する研究

1994 - 1994 非有界領域における準線形楕円型方程式の解の漸近的性質について

1993 - 1993 ギブス点過程モデルによる空間データの統計的推測理論の研究

1988 - 1988 偏微分方程式の解の挙動に関するポテンシャル論的研究

Asymptotic theory for ordinary differential equations

Qualitative theory for partial differential equations of the elliptic type

常微分方程式の漸近理論

楕円型偏微分方程式の定性的理論

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Papers (53)：

Hiroyuki Usami. Existence of rapidly decaying positive solutions of quasilinear ordinary differential equations with arbitrary nonlinearities. 2024
Manabu Naito, Hiroyuki Usami. Poincare-Perron Problem for half-linear ordinary differential equations. 2024
Sokea Luey, Hiroyuki Usami. Asymptotic forms of solutions of half-linear ordinary differential equations with integrable perturbations. Hiroshima Mathematical Journal. 2023. 53. 2. 171-189
Manabu Naito, Hiroyuki Usami. On the existence and asymptotic behavior of solutions of half-linear ordinary differential equations. Journal of Differential Equations. 2022. 318. 359-383
Manabu Naito, Hiroyuki Usami. Kneser solutions of higher-order quasilinear ordinary differential equations. Funkcialaj Ekvacioj. 2022. 65. 1. 1-33

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MISC (8)：

USAMI Hiroyuki. Global asymptotic stability in a two-species nonautonomous competition system (Progress in Qualitative Theory of Functional Equations). RIMS Kokyuroku. 2012. 1786. 85-92
Usami Hiroyuki. Asymptotic forms of slowly decaying solutions of quasilinear ordinary differential equations with critical exponents (Dynamics of Functional Equations and Mathematical Models). RIMS Kokyuroku. 2009. 1637. 100-106
Kamo Ken-ichi, Usami Hiroyuki. Asymptotic forms of slowly decaying positive solutions of second-order quasilinear ordinary differential equations (Modeling and Complex analysis for functional equations). RIMS Kokyuroku. 2008. 1582. 43-52
USAMI Hiroyuki. Asymptotic forms of weakly increasing positive solutions of quasilinear ordinary differential equations(Functional Equations Based upon Phenomena). RIMS Kokyuroku. 2007. 1547. 18-26
Takayama Takeshi, Usami Hiroyuki. Existence of positive solutions of some singular two-point boundary value problems (Functional Equations and Complex Systems). RIMS Kokyuroku. 2005. 1445. 78-84

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Works (6)：

Oscillation theory for quasilinear elliptic partial differential equations
1998 -
準線形楕円型偏微分方程式の振動論
1998 -
On nonnegative nontrivial solutions of quasilinear elliptic partial differential equations
1996 -
Oscillation theory for semilinear elliptic partial differential equations
1996 -
準線形楕円型偏微分不等式の非負値非自明解について
1996 -

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Education (4)：

1982 - 1987 Hiroshima University
- 1987 Hiroshima University Graduate School, Division of Natural Science
- 1982 Nagoya University Faculty of Science
- 1982 Nagoya University School of Science

Professional career (1)：

理学博士

Work history (3)：

2011 - 2013 Gifu University Faculty of Engineering
2008/04/01 - 2010/03/31 Hiroshima University Graduate School of Science
Hiroshima University Faculty of Integrated Arts and Sciences, Faculty of Integrated Arts and Sciences Associate Professor

Association Membership(s) (1)：

日本数学会

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