Herisanu, Application of Optimal Homotopy Asymptotic
method for solving nonlinear equations arising in heat transfer.
The analysis of several plausible nested alternative stock return generating processes suggests that stock returns with weak asymptotic
tail dependence will produce CoVaR and MES hypothesis test statistic distributions that significantly overlap the sampling distributions of test statistics calculated from Gaussian returns.
Although (10) and (11) only contain the leading order terms of the asymptotics
, and the asymptotic
decomposition is carried out by using the inverse powers of m, i.e., fractional powers of k[rho], they yield a rather accurate approximation for the field even when the frequency is not too high.
where [r.sub.mul] is the asymptotic
value of [[??].sub.mul] under [H.sub.1], [[??].sub.mul,0] is the estimation error vector resulted from [W.sub.i] (t) and [[??].sub.mul,1] is the estimation error vector resulted from both [w.sub.i] (t) and s(t), which are asymptotically distributed as [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], respectively.
Surfaces with Common Asymptotic
Curve in [E.sup.3.sub.1]
Section 3 derives the exact and asymptotic
outage probability of partial relay selection system with feedback delay and CCI.
From the asymptotic
form of E[[??](x)] and V[[??](z)] and Theorem 1, we see that, for small [lambda], the bias of [??](x) is small and the variance becomes large.
By omitting members of the O ([[??].sup.3]) order and neglecting the sign (~), we receive the asymptotic
Therefore, its asymptotic
expansion follows straightforwardly from formula (1.3) replacing a by U and setting b = [infinity].
Herisanu, "Determination of periodic solutions for the motion of a particle on a rotating parabola by means of the optimal homotopy asymptotic
method," Journal of Sound and Vibration, vol.
In this paper, it has been revealed that the optimal homotopy asymptotic
method can be applied effectively for solving the systems of second-order boundary value problems.
Su and Zheng  developed two velocity-free controllers to deal with asymptotic
stabilization based on Rodrigues parameter and modified Rodrigues parameter, respectively.