Calculus of variations for a boundary value problem of differential system on the half line

Authors:
Hairong Lian;Weigao Ge
Affiliations:
School of Information Engineering, China University of Geosciences, Beijing 100083, PR China and Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China;Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China
Venue:
Computers & Mathematics with Applications
Year:
2009

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Abstract

Boundary value problem of second-order differential equations on the half line is investigated in this paper. The method mainly depends on the calculus of variations to the classical functionals. Sufficient conditions are obtained for the existence of the solutions.