Title: Second order problem with a symmetric nonlinearity
Authors: Tomiczek, Petr
Citation: TOMICZEK, P. Second order problem with a symmetric nonlinearity. In: Aplimat : Journal of Applied Mathematics. Bratislava: Slovak University of Technology in Bratislava, 2019. s. 1164-1173. ISBN 978-1-5108-8214-0.
Issue Date: 2019
Publisher: Slovak University of Technology in Bratislava
Document type: konferenční příspěvek
URI: 2-s2.0-85070812668
ISBN: 978-1-5108-8214-0
Keywords in different language: Second order problem;variational method;critical point
Abstract in different language: The purpose of this work is to study the existence of a solution to the nonlinear second order ordinary differential equation u''(x) + m2 u(x) + g(x, u) = f(x) , x ∈ [0, T] , u(0) = u(π) = 0 , where m ∈ N, g is a Carathéodory function, f ∈ L1(0, π), a quotient g(x,s) lies between −2m + 1 and 2m + 1. The technique we use is the 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)

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Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/35954

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