Boundary value problem for the second order impulsive delay differential equations
We present some existence and uniqueness result for a boundary value problem for functional differential equations of second order with impulses at fixed points.
Boundary value problems for ODEs
We use the method of quasilinearization to boundary value problems of ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
Boundary value problems for systems of functional differential equations
Algorithms for finding an approximate solution of boundary value problems for systems of functional ordinary differential equations are studied. Sufficient conditions for consistency and convergence of these methods are given. In the last section, a construction of methods of arbitrary order is presented.
Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method.