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A functional equation involving the iterates of the unknown function is called an iterative functional equation.
A multi-valued iterative functional equation of order n is considered.
Modified iterative functional differential equations have been recently suggested by Zhang and Gong [19] to determine approximate solutions.
In this paper, we have proposed an iterative functional quantizer design algorithm for source localization in sensor networks.
They studied the following iterative functional differential equation: begin{aligned}& y'(t) = fbigl t, y^{[1]}(t), y^{[2]}(t), ldots, y^{[n]}(t bigr), & y(t_{0})=y_{0}, end{aligned} which satisfies the following result.
Then we obtain one of the most important iterative functional equations sf ( x ) =f bigl( lambda ( x ) bigr),quad s=frac{1}{c}, (19) which is referred to as the Schröder equation [6].
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Batiha [30], Gupta [28], Rafig et al. [29], Yildirim et al. [32], Parand et al. [31] obtained the same result by the variation iteration method, the homotopy perturbation method and the Hermite functions collocation method but using symbolic calculations as integral iterative functionals and solving differential equations of the second order.
By virtue of the monotonicity of the sequences, in a part, and that of the maps, in another part, the double iterative-functional inequality (2.21) yields some improvements of refinements recalled in the above section.
With an iterative algorithm, the functional relationship between the electron beam power and its power density was solved and the corresponding contour map of power density distribution was plotted through isoline tracking approach.
Next we discuss the behaviors of solutions and iterative algorithms for functional equation (1.7) in the complete metric space B B ( S ).
The M1 element is highly conserved between both human and mouse dystrophin genes (12 out of 12 positions), while R1 matches a splicing enhancer that was previously identified by in vitro functional iterative strategies [16], [18].
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