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    A variational formulation approach to a generalized coulped inhomogenous emden–flowler system

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    Date
    2014
    Author
    Muatjetjeja, Ben
    Khalique, Chaudry Masood
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    Abstract
    We study a generalized coupled inhomogeneous Emden–Fowler system from the Lagrangian formulation standpoint. A special case of this system was considered in the literature, and necessary and sufficient conditions for the existence of multiple positive solutions were obtained. Here we perform preliminary Noether classification of the generalized system by the direct method. We obtain nine cases for which the system has Noether point symmetries. First integrals are then obtained for the cases which admit Noether point symmetries.
    URI
    http://hdl.handle.net/10394/18196
    http://dx.doi.org/10.1080/00036811.2013.778979
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    • Faculty of Natural and Agricultural Sciences [4855]

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