forced oscillations of a damped‎ ‎korteweg-de vries equation on a periodic domain

نویسندگان

m. chen

school of mathematics and statistics, center for mathematics and interdisciplinary sciences, northeast normal university, changchun 130024, ‎p‎. ‎r‎. ‎china.

چکیده

‎in this paper‎, ‎we investigate a damped korteweg-de‎ ‎vries equation with forcing on a periodic domain‎ ‎$mathbb{t}=mathbb{r}/(2pimathbb{z})$‎. ‎we can obtain that if the‎ ‎forcing is periodic with small amplitude‎, ‎then the solution becomes‎ ‎eventually time-periodic.

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منابع مشابه

Forced oscillations of a damped‎ ‎Korteweg-de Vries equation on a periodic domain

‎In this paper‎, ‎we investigate a damped Korteweg-de‎ ‎Vries equation with forcing on a periodic domain‎ ‎$mathbb{T}=mathbb{R}/(2pimathbb{Z})$‎. ‎We can obtain that if the‎ ‎forcing is periodic with small amplitude‎, ‎then the solution becomes‎ ‎eventually time-periodic.

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عنوان ژورنال:
bulletin of the iranian mathematical society

جلد ۴۲، شماره ۵، صفحات ۱۰۲۷-۱۰۳۸

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