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Functional differential equations arise in many applied problems in natural sciences, technology, and automatic control; see, for instance, Hale [1].
Many applied problems can be formulated to fit the model of the nonlinear operator equation F x = 0, (1.1).
The UFIR algorithms discussed in this paper cover many applied problems associated with filtering, smoothing, and prediction of discrete‐time state‐space models.
As we know, the solutions of many applied problems lead to integral equations, and these equations can be reduced to Abel's integral equation.
Practical research has confirmed the power and flexibility of the ARIMA method in solving many applied problems (Box and Jenkins 1970; Basseville and Nikiforov 1993; Huang et al. 2013).
Hexagonal grids are favored in many applied problems in dynamical meteorology and dynamical oceanography as well (see [12 14]), due to the benefits a hexagonal grid provides, compared to a rectangular grid.
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However, in many applied testing problems, the p-values could be under-estimated or over-estimated for many known or unknown reasons.
Many mathematical models of applied problems require investigations of this type of equations.
High-performance fast calculations are developed quite well and have many applied aspects, helping solve complex problems.
Its popularity is due to its repeated successes in finding an optimum or a near optimal solution for problems in many applied disciplines.
Nonlocal boundary value problems arise in many applied sciences.
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