Submitted in Partial Fulfilment of The Requirment for the Degree

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Date

2014-03

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Addis Ababa University

Abstract

We use a direct variational method in order to investigate the dependence on parameter for the solution of the following Du_ng type equation with Dirichlet boundary conditions x(t) + r(t)x_ (t) Fx(t; x(t)) f(t) = 0 x(0) = x(1) = 0 and we observe that some outline of variational approach, in order to use this method. Key Words and phrases:Dirichlet boundary problem,Du_ng equation and Lower semicontinuity

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Keywords

Dirichlet Boundary Problem, Du_Ng Equation and Lower Semicontinuity

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