Abstract

Under certain conditions, solutions of the boundary value problem

y⁽ⁱ⁻¹⁾(x₁) = y_i for 1 ≤ i ≤ n− 1, and y(x₂) −∑ _i=1^mr_iy(η_i) = y_n, are differentiated with respect to boundary conditions, where a < x₁ < η₁ < ⋯ < η_m < x₂ < b, and r₁,…,r_m,y₁,…,y_n in R.

Keywords

nonlinear boundary value problem, ordinary differential equation, nonlocal boundary condition, boundary data smoothness

Mathematical Subject Classification

Primary: 34B15, 34B10

Secondary: 34B08

Authors