Quasilinearization for resonant boundary-value problems with mixed boundary conditions

We consider resonant problems of the type (i) x′′ + p(t)x′ + q(t)x = f (t, x, x′), (ii) x′(0) = 0, x(T) = 0, where p, q, f are continuous functions and the homogeneous problem (iii) x′′ + p(t)x′ + q(t)x = 0 with boundary-value conditions (ii) has a nontrivial solution. We study this problem by modif...

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Bibliographic Details
Date:2014
Main Authors: Sveikate, N., Sadyrbaev, F.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/175859
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Quasilinearization for resonant boundary-value problems with mixed boundary conditions / N. Sveikate, F. Sadyrbaev // Нелінійні коливання. — 2014. — Т. 17, № 1. — С. 112-126. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine