Second order problem with ALP condition and unbounded nonlinearities

dc.contributor.authorTomiczek, Petr
dc.date.accessioned2020-11-30T11:00:12Z
dc.date.available2020-11-30T11:00:12Z
dc.date.issued2020
dc.description.abstract-translatedThe 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.en
dc.format13 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationTOMICZEK, 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.cs
dc.identifier.isbn978-80-227-4983-1
dc.identifier.obd43930590
dc.identifier.uri2-s2.0-85082389377
dc.identifier.urihttp://hdl.handle.net/11025/42214
dc.language.isoenen
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
dc.publisherSlovak University of Technology in Bratislavaen
dc.relation.ispartofseriesAPLIMAT 2020 Proceedings2020en
dc.rightsPlný text je přístupný v rámci univerzity přihlášeným uživatelům.cs
dc.rights© Slovak University of Technology in Bratislavaen
dc.rights.accessrestrictedAccessen
dc.subject.translatedALP condition, Critical point, Dirichlet boundary conditions, Saddle point theorem, Second order ODEen
dc.titleSecond order problem with ALP condition and unbounded nonlinearitiesen
dc.typekonferenční příspěvekcs
dc.typeconferenceObjecten
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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