Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions

dc.contributor.authorJiang, Yongxin
dc.date.accessioned2021-11-05T16:01:00Z
dc.date.available2021-11-05T16:01:00Z
dc.date.issued2019-04-10
dc.description.abstractIn this article, we study the existence and multiplicity of positive periodic solutions for second-order non-autonomous dynamical systems when Green's functions are non-negative. The proofs are based on a nonlinear alternative principle of Leray-Schauder and the fixed point theorem in cones. Some recent results in the literature are generalized and improved.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationJiang, Y. (2019). Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions. <i>Electronic Journal of Differential Equations, 2019</i>(47), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14780
dc.language.isoen
dc.publisherTexas 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, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectVanishing Green's function
dc.subjectLeray-Schauder alternative
dc.subjectFixed point theorem in cones
dc.titlePeriodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions
dc.typeArticle

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