Twin positive solutions for fourth-order two-point boundary-value problems with sign changing nonlinearities

dc.contributor.authorTian, Yu
dc.contributor.authorGe, Weigao
dc.date.accessioned2021-05-17T17:06:12Z
dc.date.available2021-05-17T17:06:12Z
dc.date.issued2004-12-03
dc.description.abstractA new fixed point theorem on double cones is applied to obtain the existence of at least two positive solutions to (Φp(y''(t))'' - ɑ(t)ƒ (t, y(t), y''(t)) = 0, 0 < t < 1, y(0) = y(1) = 0 = y''(0) = y''(1), where ƒ : [0, 1] x [0, ∞) x (-∞, 0] → R, ɑ ∈ L<sup>1</sup> ([0, 1], (0, ∞)). We also give some examples to illustrate our results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTian, Y., & Ge, W. (2004). Twin positive solutions for fourth-order two-point boundary-value problems with sign changing nonlinearities. <i>Electronic Journal of Differential Equations, 2004</i>(143), pp. 1-8.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13564
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectFourth-order two-point boundary-value problem
dc.subjectFixed point theorem
dc.subjectDouble cones
dc.subjectPositive solutions
dc.titleTwin positive solutions for fourth-order two-point boundary-value problems with sign changing nonlinearities
dc.typeArticle

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