On Duffing's Equation With Dirichlet Boundary Condition
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Date
2014-03-03
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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.
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Keywords
Dirichlet Boundary Problem, Duffing Equation and Lower Semicontinuity