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

0387096 - MÚ 2013 RIV IT eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA201/06/0254
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: Dirichlet problem at resonance * nonlinear ordinary differential equation
Kód oboru RIV: BA - Obecná matematika
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.
Trvalý link: http://hdl.handle.net/11104/0216377