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Existence of a smooth solution of one boundary-value problem

We study a periodic boundary-value problem for the quasilinear equationu tt−uxx=F[u, ut], u(0, t)=u(π, t)=0,u(x, t+2π)=u(x, t). We establish conditions that guarantee the validity of the uniqueness theorem.

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Bibliographic Details
Date:	1995
Main Authors:	Khoma, N. H., Хома, H. Г.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1995
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5569
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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