Time-periodic linear boundary value problems on a finite interval
نویسندگان
چکیده
We study the large time behaviour of solution linear dispersive partial differential equations posed on a finite interval, when at least one prescribed boundary conditions is periodic. use Q equation approach, pioneered in Fokas & Lenells 2012 and applied to problems half-line van der Weele 2021, characterise necessary for such problem be periodic, an asymptotic sense. then fully describe periodicity properties three important illustrative examples, recovering known results second-order cases establishing new third order case.
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 2022
ISSN: ['1552-4485', '0033-569X']
DOI: https://doi.org/10.1090/qam/1615