Existence of multiple solutions for a class of second-order ordinary differential equations

dc.contributor.authorShu, Xiao-Bao
dc.contributor.authorXu, Yuan-Tong
dc.date.accessioned2021-05-17T13:56:36Z
dc.date.available2021-05-17T13:56:36Z
dc.date.issued2004-11-25
dc.description.abstractBy means of variational structure and Z2 group index theory, we obtain multiple solutions for the second-order differential equation d/dt (p(t) du/dt) + q(t)u + ƒ(t, u) = 0, 0 < t < 1, subject to one of the following two sets of boundary conditions: u'(0) = u(1) + u'(1) = 0 or u(0) = u(1) = 0.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationShu, X. B., & Xu, Y. T. (2004). Existence of multiple solutions for a class of second-order ordinary differential equations. <i>Electronic Journal of Differential Equations, 2004</i>(137), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13558
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, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectVariational structure
dc.subjectZ2 group index theory
dc.subjectCritical points
dc.subjectBoundary value problems
dc.titleExistence of multiple solutions for a class of second-order ordinary differential equations
dc.typeArticle

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