Blowup of solutions for the planar motions of rotating nonlinearly elastic rods
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DOI: 10.1016/j.ijnonlinmec.2016.09.006
Abstract: Abstract This paper treats the motion of flexible, extensible, shearable nonlinearly elastic rods, described by a geometrically exact theory, when they are confined to a plane rotating about a fixed axis at constant angular speed… read more here.
Keywords: elastic rods; planar motions; blowup solutions; solutions planar ... See more keywords
A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses
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DOI: 10.1016/j.jde.2017.12.016
Abstract: Abstract In this paper, we apply the variational method with Structural Prescribed Boundary Conditions (SPBC) to prove the existence of periodic and quasi-periodic solutions for the planar four-body problem with two pairs of equal masses… read more here.
Keywords: planar four; periodic solutions; solutions planar; four body ... See more keywords
Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach
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DOI: 10.14232/ejqtde.2018.1.92
Abstract: In this paper an attempt is made to depict a clear picture of the overall structure of nonoscillatory solutions of the first order half-linear differential system x′ − p(t)φ1/α(y) = 0, y′ + q(t)φα(x) =… read more here.
Keywords: planar half; solutions planar; linear differential; nonoscillatory solutions ... See more keywords