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- W2098162349 abstract "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." @default.
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- W2098162349 date "2012-08-31" @default.
- W2098162349 modified "2023-10-16" @default.
- W2098162349 title "Sobolev type inequalities of time-periodic boundary value problems for Heaviside and Thomson cables" @default.
- W2098162349 cites W2106006630 @default.
- W2098162349 doi "https://doi.org/10.1186/1687-2770-2012-95" @default.
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