Dirichlet problem with Φ-Laplacian and mixed singularities

• Published in: Нелінійні коливання
• Date: 2008
• Main Authors: Rachůnková, I., Stryja, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178150
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Dirichlet problem with Φ-Laplacian and mixed singularities / I. Rachůnková, J. Stryja // Нелінійні коливання. — 2008. — Т. 11, № 1. — С. 81-95. — Бібліогр.: 9 назв. — англ.

We assume that A₁, A₂ ⊂ R are closed intervals containing 0, ϕ is an increasing odd homeomorphism with ϕ(R) = R and T ∈ (0,∞). We will study the singular Dirichlet problem of the form (ϕ(u' ))] + f(t, u, u' ) = 0 , u(0) = u(T) = 0, and we will prove the existence of its smooth solution sat...