期刊论文详细信息
Boundary value problems | |
Sobolev type inequalities of time-periodic boundary value problems for Heaviside and Thomson cables | |
Kohtaro Watanabe1  Yoshinori Kametaka2  Atsushi Nagai3  Kazuo Takemura3  Hiroyuki Yamagishi4  | |
[1] Department of Computer Science, National Defense Academy, Yokosuka, Japan;Faculty of Engineering Science, Osaka University, Toyonaka, Japan;Liberal Arts and Basic Sciences, College of Industrial Technology, Nihon University, Narashino, Japan;Tokyo Metropolitan College of Industrial Technology, Shinagawa, Tokyo, Japan | |
关键词: Hurwitz polynomial; Sobolev inequality; best constant; Green function; n-cascaded LRCG circuits; | |
DOI : 10.1186/1687-2770-2012-95 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
We consider a time-periodic boundary value problem of n th order ordinary differential operator which appears typically in Heaviside cable and Thomson cable theory. We calculate the best constant and a family of the best functions for a Sobolev type inequality by using the Green function and apply its results to the cable theory. Physical meaning of a Sobolev type inequality is that we can estimate the square of maximum of the absolute value of AC output voltage from above by the power of input voltage. MSC:46E35, 41A44, 34B27.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904024156810ZK.pdf | 335KB | download |