Asymptotic expansion
Existence and asymptotic expansion of the weak solution for a wave equation with nonlinear source containing nonlocal term
... and asymptotic expansion for the Robin problem for a wave equation with nonlinear source containing nonlocal term ...an asymptotic expansion of a weak solution u ε (x, t) of order N + in a ...
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Asymptotic Expansion of n-dimensional Faxen-type Integrals
... the asymptotic expansion of n Ψ 0 (z) for |z| → ∞ then enables the asymptotic structure of these integrals to be ...this asymptotic structure becomes more complicated the larger the value of ...
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Asymptotic expansion of closed geodesics in homology classes
... of asymptotic expansion were not known until the work of Dolgopyat on Anosov flows [2], where he obtained strong results on the contractivity of transfer ...
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The Asymptotic Expansion of a Generalisation of the Euler-Jacobi Series
... dominant asymptotic expansion of S p (a; w) as a → 0 in | arg a | < 1 2 π for general p > 0 and w > 0 is relatively straightforward and is found to consist, in general, of a single term ...
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Regularization and asymptotic expansion of certain distributions defined by divergent series
... REGULARIZATION AND ASYMPTOTIC EXPANSION OF CERTAIN DISTRIBUTIONS DEFINED BY DIVERGENT SERIES.. asynqtti" ,Xlmnsin as.[r] ...
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Sharp inequalities and asymptotic expansion associated with the Wallis sequence
... present asymptotic expansion of function involving the ratio of gamma functions and provide a recurrence relation for determining the coefficients of the asymptotic ...obtain asymptotic ...
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On the asymptotic expansion of certain plane singular integral operators
... We discuss the problem of the asymptotic expansion for some operators in a general theory of pseudo-differential equations on manifolds with borders. Using the distribution theory one obtains certain ...
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An asymptotic expansion for a ratio of products of gamma functions
... The asymptotic expansion for a ratio of products of gamma functions in this form (2.7) or the other (2.5) seems to be new. It is only the special case when c = 1 which is known. This special case was stated ...
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Asymptotic expansion of closed orbits in homology classes for Anosov flows
... In this paper we give an asymptotic expansion including error terms for the number of closed orbits in the homology classes for homological full Anosov flows. In partic- ular we obtain formulae concerning ...
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On the asymptotic expansion of the q dilogarithm
... the asymptotic expansion near infinity via the Mellin transform is obtained by displacement of the contour of integration in the Mellin inversion formulas ...
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Asymptotic expansion approximations and the distributions of various test statistics in dynamic econometric models
... obtaining asymptotic expansion approximations to the cdf's of asymptotically c h i- square test s ta tis tic s under the null hypotheses being ...the asymptotic cdf ...
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Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two dimensional spaces
... the asymptotic behavior in time of solutions to the Cauchy problem ...the asymptotic expansion of solutions in the neighborhood of the scattering ...
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Asymptotic Expansion of Wavelet Transform
... p + λ < < + q λ λ < q p < λ (7) The asymptotic expansion of (2) at the origin is given by the following Theorem ([2], pp. 631, 633, 634). Theorem 1 Assume that (i) g x ( ) and h x ( ) are ...
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Asymptotic Expansion of Temperature Close to a Singularity of a Plate
... As it was seen in subsection 2.2, the corrective term al- lows to improve the description of the thermal flux close to a regular edge of the plate. In the same way, the be- havior of the plate close to an angle, can be ...
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S asymptotic expansion of distributions
... duced the asymptotic expansion of tempered distributions as a useful mathematical tool in quantum field theory... His investigations and definitions were turned just.[r] ...
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The asymptotic expansion method for heliumlike ions
... The asymptotic methods can be used to calculate the energies of Rydberg states of lithium-like ions [34] consisting of a core (a core consisting of a nucleus with two electrons in the [r] ...
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Application of asymptotic expansion procedures to low Reynolds number flows about infinite bodies
... sf an overlap domain follows QmmaliateSLyfrom the fact that the outer equation8 include the!. inner eg~oatisne, Thus t k inner limit..[r] ...
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Quasiasymptotic expansion of distributions from S+' and the asymptotic expansion of the distributional Stieltjes transform
... Using the notion of the quasiasymptotic behaviour of distributions from ’= {fe [0,}, introduced by Zavialov in [15], they obtained more general results than supp f in [6,7,2] for the asy[r] ...
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The different equations of motion of the central line of a slender vortex filament and their use to study perturbed vortices
... this expansion can be compared with the first order asymptotic expansion in of the equation of motion ...this asymptotic equation of motion of the central curve provided that the following ...
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A singularly perturbed linear two point boundary value problem
... 28, we can use the asymptotic expansion of the solution of the special boundary-value problem to state sufficient conditions for the.. ence of a unique solution of the geaeral boundary- [r] ...
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