Lidstone-type problems on the whole real line and homoclinic solutions applied to infinite beams

dc.contributor.authorMinhós, Feliz
dc.contributor.authorCarrasco, Hugo
dc.date.accessioned2021-01-27T10:58:07Z
dc.date.available2021-01-27T10:58:07Z
dc.date.issued2020-01-24
dc.description.abstractThis work provides sufficient conditions for the existence of solutions to fourth-order nonlinear ordinary differential equations with Lidstone-type boundary conditions on the real line. Using Green’s functions, we formulate a modified integral equation and correspondent integral operators, in which fixed points are the solutions of the initial problem. Moreover, it is proved that every solution of the Lidstone problem on the whole real line is an homoclinic solution.por
dc.identifier.authoremailfminhos@uevora.pt
dc.identifier.authoremailhugcarrasco@gmail.com
dc.identifier.citationMinhós, F., Carrasco, H. Lidstone-type problems on the whole real line and homoclinic solutions applied to infinite beams. Neural Comput & Applic (2020). https://doi.org/10.1007/s00521-020-04732-xpor
dc.identifier.doihttps://doi.org/10.1007/s00521-020-04732-xpor
dc.identifier.issn0941-0643 (Print) 1433-3058 (Online)
dc.identifier.scientificarea334por
dc.identifier.sharewithMATpor
dc.identifier.urihttps://link.springer.com/article/10.1007%2Fs00521-020-04732-x
dc.identifier.urihttp://hdl.handle.net/10174/28864
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringer Linkpor
dc.rightsrestrictedAccesspor
dc.subjectProblems in the whole real linepor
dc.subjectFixed-point theorypor
dc.subjectGreen’s functionspor
dc.subjectBeams simply supported on nonuniform elastic foundationspor
dc.titleLidstone-type problems on the whole real line and homoclinic solutions applied to infinite beamspor
dc.typearticlepor

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