A Variational Approach to an Inhomogeneous Second-Order Ordinary Differential System | Zendy

Ben Muatjetjeja | Zendy; Chaudry Masood Khalique | Zendy

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A Variational Approach to an Inhomogeneous Second-Order Ordinary Differential System

Author(s) -

Ben Muatjetjeja,

Chaudry Masood Khalique

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/197219

Subject(s) - noether's theorem , mathematics , homogeneous space , lagrangian , lagrangian system , point (geometry) , order (exchange) , ordinary differential equation , differential (mechanical device) , mathematical analysis , mathematical physics , differential equation , geometry , physics , finance , economics , thermodynamics

This paper studies the coupled inhomogeneous Lane-Emden system from the Lagrangian formulation point of view. The existence of multiple positive solutions has been discussed in the literature. Here we aim to classify the system with respect to a first-order Lagrangian according to the Noether point symmetries it admits. We then obtain first integrals of the various cases which admit Noether point symmetries

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