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
URI: 2-s2.0-85082389377
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)

Files in This Item:
File SizeFormat 
1028_Tomiczek.pdf786,5 kBAdobe PDFView/Open    Request a copy

Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/42214

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

  1. DSpace at University of West Bohemia
  2. Publikační činnost / Publications
  3. OBD