No Classic Boundary Conditions
نویسندگان
چکیده
We consider the boundary value problem: x(t) = f(t, x(t)), a ≤ t ≤ b, m > 1 x(a) = β0 ∆x ≡ x(b)− x(a) = βk+1, k = 0, ..., m− 2 where x(t) = (x(t), x ′ (t), ...., x(m−1)(t)), βi ∈ R, i = 0, ..., m − 1, and f is continuous at least in the interior of the domain of interest. We prove the existence and uniqueness of the solution under certain conditions.
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