Potential Landesman-Lazer type conditions and the Fucik spectrum

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dc.contributor.authorTomiczek, Petr
dc.date.accessioned2021-06-01T15:51:31Z
dc.date.available2021-06-01T15:51:31Z
dc.date.issued2005-08-29
dc.description.abstractWe prove the existence of solutions to the nonlinear problem u''(x) + λ+u+(x) = λ_u-(x) + g(x, u(x)) = ƒ(x), x ∈ (0, π), u(0) = u(π) = 0 where the point [λ+, λ_] is a point of the Fučík spectrum and the nonlinearity g(x, u(x)) satisfies a potential Landesman-Lazer type condition. We use a variational method based on the organization of the Saddle Point Theorem.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTomiczek, P. (2005). Potential Landesman-Lazer type conditions and the Fučík spectrum. <i>Electronic Journal of Differential Equations, 2005</i>(94), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13695
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectResonance
dc.subjectEigenvalues
dc.subjectJumping nonlinearities
dc.subjectFučík spectrum
dc.titlePotential Landesman-Lazer type conditions and the Fucik spectrum
dc.title.alternativePotential Landesman-Lazer type conditions and the Fučík spectrum
dc.typeArticle

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