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名誉教授 : 伊藤 正幸 |
○ | 偏微分方程式論 (Theory of Partial Differential Equations) |
○ | 漸近解析による非線形現象の研究 (偏微分方程式 (partial differential equations), 非線形 (nonlinear), 漸近解析 (asymptotic analysis), 特異摂動 (singular perturbation)) (非線形現象を記述する非線形偏微分方程式を主に漸近解析の方法を用いて研究する. 主な関心は,非線形性が解の構造にどのように反映されているかを知ることにある.) |
1. | 広中 平祐, 伊藤 正幸 : 数理科学事典, 大阪書籍, 大阪, 1991年3月. |
1. | Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa : Quasilinear elliptic equations with slowly growing principal part and critical Orlicz-Sobolev nonlinear term, Proceedings of the Royal Society of Edinburgh Section A Mathematics, Vol.139, 73-106, 2009. (DOI: 10.1017/S0308210507000765) |
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2. | Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa : Positive solutions of quasilinear elliptic equations with critical Orlicz-Sobolev nonlinearity on Rn., Funkcialaj Ekvacioj, Vol.49, No.2, 235-267, 2006. (DOI: 10.1619/fesi.49.235) |
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3. | Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa : Limit as p → ∞ of p-Laplace eigenvalue problems and L∞-inequarity of the Poincaré type, Differential and Integral Equations, Vol.12, No.2, 183-206, 1999. |
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4. | Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa : Limit as p→∞ of p-Laplace eigenvalue problems and L∞-inequality of the Poincaré type, Differential and Integral Equations, Vol.12, No.2, 183-206, 1999. |
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5. | Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa : A bifurcation problem of some nonlinear degenerate elliptic equations, Advances in Differential Equations, Vol.2, No.6, 895-926, 1997. |
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6. | Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa : Bifurcation of radially symmetric solutions of degenerate quasilinear elliptic equations, Differential and Integral Equations, Vol.8, No.7, 1709-1732, 1995. |
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7. | Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa : Bifurcation of radially symmetric solutions of degenerate quasilinear elliptic equations, Differential and Integral Equations, Vol.8, No.7, 1709-1732, 1995. |
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8. | Masayuki Ito : Travelling train solutions of FizHugh-Nagumo systems, Lecture Notos in Num. Appl. Anal., Vol.9, 75-104, 1987. |
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9. | 伊藤 正幸 : 特異摂動論における漸近展開法, 数学, Vol.38, No.2, 150-164, 1986年. |
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10. | Masayuki Ito : Coexistence-equilibria for competition-diffusion systems with a small diffusion rate, Japan Journal of Applied Mathematics, Vol.1, No.2, 299-336, 1984. (DOI: 10.1007/BF03167062, Elsevier: Scopus) |
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11. | Masayuki Ito : Global aspect of steady-states for competitive-diffusive systems with homogeneous Dirichlet conditions, Physica D: Nonlinear Phenomena, Vol.14D, No.1, 1-28, 1984. (DOI: 10.1016/0167-2789(84)90002-2) |
1. | 深貝 暢良, 伊藤 正幸, 成川 公昭 : Variational methods in Orlicz-Sobolev spaces to quasilinear elliptic equations, 数理解析研究所講究録, Vol.1405, 14-30, 2004年. (CiNii: 1050001202060895232) |
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2. | Masayuki Ito : A remark on singular perturbation method, Hiroshima Mathematical Journal, Vol.14, 619, 1985. |
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3. | Masayuki Ito : On the conditional stability of non-minimal solutions of w"+exp(w)=O, Journal of the Faculty of Science, the University of Tokyo Sec. IA, Vol.28, No.1, 81-88, 1981. |
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4. | Masayuki Ito : The conditional stability of stationary solutions for semilinear parabolic differential equations, Journal of the Faculty of Science, The Univesity of Tokyo Sec. IA Math., Vol.25, 263-275, 1979. |