The Approximation of Solutions to Linear Homogeneous Differential Equations by Rational Functions.
The generalized approximation method and nonlinear heat transfer equations.
The generalized method of quasilinearization and nonlinear boundary value problems with integral boundary conditions.
The lower and upper solutions method for first order differential inclusions with nonlinear boundary conditions.
The method of quasi-linearization for resolution a nonlocal nonlinear boundary problem.
The method of upper and lower solutions for second-order non-homogeneous two-point boundary-value problem.
The monotone iterative technique for periodic boundary value problems of second order impulsive differential equations
In this paper, we develop monotone iterative technique to obtain the extremal solutions of a second order periodic boundary value problem (PBVP) with impulsive effects. We present a maximum principle for ``impulsive functions'' and then we use it to develop the monotone iterative method. Finally, we consider the monotone iterates as orbits of a (discrete) dynamical system.
The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE.
Two iterative schemes for an -system.