On Bernoulli Boundary Value Problem
نویسندگان
چکیده
We consider the boundary value problem: x (m) (t) = f (t, x(t)), a ≤ t ≤ b, m > 1 x(a) = β 0 ∆x (k) ≡ x (k) (b) − x (k) (a) = β k+1 , continuous at least in the interior of the domain of interest. We give a constructive proof of the existence and uniqueness of the solution, under certain conditions, by Picard's iteration. Moreover Newton's iteration method is considered for the numerical computation of the solution.
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