The technique of numerical solution of the constructed equations is elaborated based on the method of the transfer matrix.
Moreover, the technique of approximate solutions is very important in the proof of Theorem 3.1.
In recent years, much attention have been given to develop a class of two-step and three-step iterative methods for solving the variational inclusions and inequalities using the technique of updating the solution.
To overcome these drawbacks, Noor [2, 3] used the technique of updating the solution to suggest the two-step (or predictor-corrector) method for solving the variational inequality (1.2).
They employed the technique of lower and upper solutions and the theory of fixed point index to obtain the existence of at least three solutions.
The study is a one-dimensional analysis of compressible refrigerant flow, based on a forward marching technique of solution for the conservation equations.
By using the theory of stochastic perturbation, a technique of solution for this class of problems is proposed, leading to an effective numerical solution.
Using the techniques of approximate solutions, the analytic resolvent method, and the uniform continuity of the resolvent, we discuss the existence of mild solutions for nonlocal fractional differential equations governed by a linear closed operator which generates a resolvent.
In this section, by using the techniques of approximate solutions, analytic resolvent and fixed point, we prove an existence theorem for the nonlocal problem (1.1) when the nonlocal item g is only continuous in C ( [ 0, b ], X ).
The existence and uniqueness of the solution is studied using the technique of approximation by upper and lower solutions.
