Positive solutions of boundary-value problems for 2m-order differential equations

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dc.contributor.authorLiu, Yuji
dc.contributor.authorGe, Weigao
dc.date.accessioned2021-01-08T18:49:37Z
dc.date.available2021-01-08T18:49:37Z
dc.date.issued2003-09-04
dc.description.abstractThis article concerns the existence of positive solutions to the differential equation (-1)m x(2m)(t) = ƒ(t, x(t), x'(t),...,x(m)(t)), 0 < t < π, subject to boundary condition x(2i)(0) = x(2i) (π) = 0, or to the boundary condition x(2i)(0) = x(2i + 1) (π) = 0, for i = 0,1,...,m - 1. Sufficient conditions for the existence of at least one positive solution of each boundary-value problem are established. Motivated by references [7, 17, 21], the emphasis in this paper is that f depends on all higher-order derivatives.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLiu, Y., & Ge, W. (2003). Positive solutions of boundary-value problems for 2m-order differential equations. <i>Electronic Journal of Differential Equations, 2003</i>(89), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13097
dc.language.isoen
dc.publisherSouthwest Texas State University, 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectHigher-order differential equation
dc.subjectBoundary-value problem
dc.subjectPositive solutions
dc.subjectFixed point theorem
dc.titlePositive solutions of boundary-value problems for 2m-order differential equations
dc.typeArticle

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