Solution to a Semilinear Problem on Type II Regions Determined by the Fucik Spectrum

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dc.contributor.authorTomiczek, Petr
dc.date.accessioned2020-09-10T20:40:19Z
dc.date.available2020-09-10T20:40:19Z
dc.date.issued2003-01-28
dc.description.abstractWe prove the existence of solutions to the semi-linear problem u'' (x) + ⍺u+(x) + βu-(x) = ƒ(x), x ∈ (0, π), u(0) = u(π) = 0 where the point (⍺, β) falls in regions of type (II) between curves of the Fučík spectrum. We use a variational method based on the generalization of the Saddle Point Theorem.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTomiczek, P. (2003). Solution to a semilinear problem on type II regions determined by the Fucik spectrum. <i>Electronic Journal of Differential Equations, 2003</i>(08), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12575
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectResonance
dc.subjectEigenvalue
dc.subjectJumping nonlinearities
dc.subjectFucik spectrum
dc.titleSolution to a Semilinear Problem on Type II Regions Determined by the Fucik Spectrumen_US
dc.typeArticle

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