International Journal of Pure and Applied Mathematics
Nonlinear boundary value problem, Ordinary differential equation, Nonlocal boundary condition, Existence, Uniqueness
Under certain conditions, solutions of the nonlocal boundary value problem, y(n) = f(x, y, y', ... , y(n- 1)), y(xi) = Yi for 1 £ i £ n- 1, and y(xn) - Σmk=1 Υiy (ni) = y n, are differentiated with respect to boundary conditions, where a < X1 < X2 < · · · < Xn-1 < n1 < · · · < nm < Xn < b, r1, ... , rm, Y1, ... , Yn ∈ R .
Lyons, Jeffrey W. and Henderson, Johnny, "Characterization of Partial Derivatives with Respect to Boundary Conditions for Solutions of Nonlocal Boundary Value Problems for nth Order Differential Equations" (2009). Mathematics Faculty Articles. 38.