The Dirichlet bvp for the second order nonlinear ordinary differential equation at resonance

0387096 - MÚ 2013 RIV IT eng J - Journal Article
Mukhigulashvili, Sulkhan
The Dirichlet bvp for the second order nonlinear ordinary differential equation at resonance.
Italian Journal of Pure and Applied Mathematics. Roč. 28, July (2011), s. 177-204. ISSN 1126-8042
R&D Projects: GA ČR(CZ) GA201/06/0254
Institutional research plan: CEZ:AV0Z10190503
Keywords : Dirichlet problem at resonance * nonlinear ordinary differential equation
Subject RIV: BA - General Mathematics
http://ijpam.uniud.it/online_issue/201128/19-Mukhigulashvili.pdf

Efficient sufficient conditions are established for the solvability of the Dirich-let problem u"(t) = p(t)u(t) + f(t; u(t)) + h(t) for a ≤ t ≤ b; u(a) = 0; u(b) = 0;where h; p ε L([a; b];R) and f ε K([a; b] × R;R); in the case where the linear problem u"(t) = p(t)u(t); u(a) = 0; u(b) = 0 has nontrivial solutions.
Permanent Link: http://hdl.handle.net/11104/0216377