Quasilinearization for resonant boundary-value problems with mixed boundary conditions

• Published in: Нелінійні коливання
• Date: 2014
• Main Authors: Sveikate, N., Sadyrbaev, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/175859
• 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.

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...