論文 - 永井 敦
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The best constant of Sobolev inequality corresponding to clamped boundary value problem 査読
K. Watanabe, Y. Kametaka, H. Yamagishi, A. Nagai and K. Takemura
Boundary Value Problems 2011年3月
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The best constant of Sobolev inequality corresponding to a bending problem of a beam on an interval 査読
Y. Kametaka, A. Nagai, K. Watanabe, K. Takemura and H. Yamagishi
Tsukuba Journal of Mathematics 33 253 - 280 2009年12月
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The best constant of discrete Sobolev inequality 招待 査読
A. Nagai, Y. Kametaka and K. Watanabe
Journal of Physics A 42 2009年10月
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The best constant of Sobolev inequality corresponding to antiperiodic boundary value problem for $(-1)^M(d/dx)^{2M}$ 査読
H. Yamagishi, Y. Kametaka and A. Nagai
Journal of Nonlinear and Convex Analysis 10 103 - 116 2009年1月
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The best constant of Sobolev inequality which corresponds to Schr\"odinger operator with Dirac delta potential 査読
Y. Kametaka, H. Yamagishi, K. Watanabe, A. Nagai, K. Takemura and M. Arai
Scienticae Mathematicae Japonicae 69 211 - 225 2008年12月
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The best constant of Sobolev inequality corresponding to Dirichlet boundary value problem for $(-1)^M(d/dx)^{2M}$ 査読
Y. Kametaka, H. Yamagishi, K. Watanabe, A. Nagai and K. Takemura
Scientiae Mathematicae Japonicae 68 299 - 311 2008年10月
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リーマンゼータ関数と3系列 のソボレフ不等式の最良定数 査読
亀高惟倫，山岸弘幸，渡辺宏太郎，永井敦，武村一雄
日本応用数理学会論文誌 18 29 - 40 2008年3月
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$(-1)^M(d/dx)^{2M}$に対する両端自由端条件境界値問題と 対応するソボレフ不等式の最良定数 査読
武村一雄，永井敦，亀高惟倫，渡辺宏太郎，山岸弘幸
日本応用数理学会論文誌 18 41 - 64 2008年3月
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The best constants of Sobolev inequalities on a bounded interval 査読
K. Watanabe, Y. Kametaka, A. Nagai, K. Takemura and H. Yamagishi
Journal of Mathematical Analysis and its Applications 340 699 - 706 2008年1月
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Heaviside cable, Thomson cable and the best constant of a Sobolev-type inequality 査読
Y. Kametaka, K. Takemura, H. Yamagishi, A. Nagai and K. Watanabe
Scientiae Mathematicae Japonicae e-2007 739 - 755 2007年12月
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Solutions to Some Fractional Differential Equations and Their Integrable Discretizations 査読
Atsushi Nagai and Yoshinori Kametaka
Journal of the Physical Society of Japan 76 2007年9月
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The best constant of $L^p$ Sobolev inequality corresponding to periodic boundary value problem for $(-1)^M(d/dx)^{2M}$ 査読
Y. Kametaka, Y. Oshime, K. Watanabe, H. Yamagishi, A. Nagai and K. Takemura
Scientiae Mathematicae Japonicae e-2007 269 - 281 2007年5月
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The best constant of Sobolev inequality which corresponds to a bending problem of a string with periodic boundary condition 査読
Y. Kametaka, K. Watanabe, A. Nagai, H. Yamagishi and K. Takemura
Scientiae Mathematicae Japonicae e-2007 283 - 300 2007年5月
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Riemann zeta function, Bernoulli polynomials and the best constant of Sobolev inequality 査読
Y. Kametaka, H. Yamagishi, K. Watanabe, A. Nagai and K. Takemura
Scientiae Mathematicae Japonicae e-2007 63 - 89 2007年1月
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Best constant of Sobolev inequality in an $n$-dimensional Euclidean space 査読
Y. Kametaka, K. Watanabe , A. Nagai and S. Pyatkov
Scientiae Mathematicae Japonicae 61 15 - 23 2004年12月
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Dependency of Green functions on an interval length to 2-point boundary value problems for bending of a beam 査読
K. Takemura, Y. Kametaka and A. Nagai
Japan Journal of Industrial and Applied Mathematics 21 237 - 258 2004年10月
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On a certain fractional $q$-difference and $q$-Mittag-Leffler function 招待 査読
A. Nagai
Journal of Nonlinear Mathematical Physics Supplement 10 133 - 142 2003年12月
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An Integrable Mapping with Fractional Difference 査読
A. Nagai
Journal of the Physical Society of Japan 72 2181 - 2183 2003年9月
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Conserved quantities of box and ball systems 査読
A. Nagai, T. Tokihiro and J. Satsuma
Glasgow Mathematical Journal 43A 91 - 98 2001年7月
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Positivity and hierarchical structure of Green's functions of 2-point boundary value problems for bending of a beam 査読
Y. Kametaka, K. Takemura, Y. Suzuki and A. Nagai
Japan Journal of Industrial and Applied Mathematics 21 543 - 566 2001年6月