No Classic Boundary Conditions

–We consider the boundary value problem:    x(m) (t) = f(t, x(t)), a ≤ t ≤ b, m > 1 x(a) = β0 ∆x(k) ≡ x(k) (b) − x(k) (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.

• Type: Conference
• Year: 2007
• Where: WCE
• Authors: Francesco A. Costabile, Annarosa Serpe, Antonio Bruzio
• Keywords: Boundary Value Problem, Uniqueness, WCE 2007, WCE 2008