Title: | Second order problem with ALP condition and unbounded nonlinearities |
Authors: | Tomiczek, Petr |
Citation: | TOMICZEK, P. Second order problem with ALP condition and unbounded nonlinearities. In: APLIMAT 2020 Proceedings2020. Bratislava: Slovak University of Technology in Bratislava, 2020. s. 1028-1040. ISBN 978-80-227-4983-1. |
Issue Date: | 2020 |
Publisher: | Slovak University of Technology in Bratislava |
Document type: | konferenční příspěvek conferenceObject |
URI: | 2-s2.0-85082389377 http://hdl.handle.net/11025/42214 |
ISBN: | 978-80-227-4983-1 |
Keywords in different language: | ALP condition, Critical point, Dirichlet boundary conditions, Saddle point theorem, Second order ODE |
Abstract in different language: | The nonlinear second order ordinary differential equation u''(x) + m^2 u(x) + g(x, u(x)) = f(x) , x in [0, p] , u(0) = u(p) = 0 is investigated in this article. We suppose that the nonlinearity g is unbounded and satisfies an ALP type condition. We prove the existence result to this problem using a saddle point theorem. |
Rights: | Plný text je přístupný v rámci univerzity přihlášeným uživatelům. © Slovak University of Technology in Bratislava |
Appears in Collections: | Konferenční příspěvky / Conference Papers (KMA) Konferenční příspěvky / Conference papers (NTIS) OBD |
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