Asymptotic approximation for the solution to a boundary-value problem with varying type of boundary conditions in a thick two-level junction

• Published in: Нелінійні коливання
• Date: 2006
• Main Authors: Durante, T., Mel'nyk, T.A., Vashchuk, P.S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178375
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Asymptotic approximation for the solution to a boundary-value problem with varying type of boundary conditions in a thick two-level junction / T. Durante, T.A. Mel'nyk, P.S. Vashchuk // Нелінійні коливання. — 2006. — Т. 9, № 3. — С. 336-355. — Бібліогр.: 22 назв. — англ.

We consider a mixed boundary-value problem for the Poisson equation in a plane two-level junction Ωε, which is the union of a domain Ω₀ and a large number 3N of thin rods with thickness of order ε = O(N⁻¹). The thin rods are divided into two levels depending on their length. In addition, the thin ro...