Monotone convergence of iterative methods for right focal point boundary value problems (Q1111340)

Sufficient conditions for monotone convergence of the Picard iterative scheme for the problem \(x^{(n)}=f(t,\vec x),\quad x^{(i)}(a)=A_ i,\) \(0\leq i\leq k-1\), \(x^{(j)}(b)=B_ j\), \(k\leq j\leq n-1\), where \(n\geq 2\), \(1\leq k\leq n-1\), \(\vec x=(x,x',...,x^{(q)})\), \(0\leq q\leq n-1\), \(f\in C[a,b]\times {\mathbb{R}}^{q+1}\) are provided. A numerical example is given.