| 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 conferenceObject |
| URI: | 2-s2.0-85070812668 http://hdl.handle.net/11025/35954 |
| 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) OBD |
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