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Asymptotic Analysis - Volume 68, issue 3

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Price: EUR 420.00
ISSN 0921-7134 (P)
ISSN 1875-8576 (E)

Impact Factor 2024: 1.1

The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. 

Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.

Very accurate estimates of the polygamma functions

Authors: Mortici, Cristinel

Article Type: Research Article

Abstract: The aim of this paper is to give some refinements of an estimation for the polygamma functions, stated in J. Math. Anal. Approx. Theory 1(2) (2006), 124–134. Finally, a general method to establish increasingly accurate estimations is given.

Keywords: gamma function, polygamma functions, completely monotonicity, Bernoulli numbers

DOI: 10.3233/ASY-2010-0983

Citation: Asymptotic Analysis, vol. 68, no. 3, pp. 125-134, 2010

Price: EUR 27.50

Integral equations in the study of the asymptotic behavior of skew-product flows

Authors: Sasu, Adina Luminiţa | Sasu, Bogdan

Article Type: Research Article

Abstract: The aim of this paper is to present an inedit perspective concerning the study of the asymptotic behavior of variational systems, using distinct techniques compared with those in the existing literature. We give new and complete answers concerning the study of exponential dichotomy of skew-product flows in terms of the solvability of integral equations between Lp -spaces, motivating the techniques by illustrative examples. We present a comparative analysis between the integral admissibility on the real line and on the half-line, pointing out the main differences as well as the advantages of each case.

Keywords: integral equation, skew-product flow, exponential dichotomy, admissibility

DOI: 10.3233/ASY-2010-0984

Citation: Asymptotic Analysis, vol. 68, no. 3, pp. 135-153, 2010

Price: EUR 27.50

Asymptotic behavior of solutions to dissipative Korteweg–de Vries equations

Authors: Vento, Stéphane

Article Type: Research Article

Abstract: We study the large time behavior of solutions to the dissipative Korteweg–de Vries equations ut +uxxx +|D|α u+uux =0 with 0<α<2. We find asymptotic expansions of the solution as t→∞ in various Sobolev norms.

Keywords: KdV-like equations, dissipative dispersive equations, large time behavior

DOI: 10.3233/ASY-2010-0988

Citation: Asymptotic Analysis, vol. 68, no. 3, pp. 155-186, 2010

Price: EUR 27.50

A spectral analogue of the Meinardus theorem on asymptotics of the number of partitions

Authors: Tate, Tatsuya

Article Type: Correction

DOI: 10.3233/ASY-2010-0990

Citation: Asymptotic Analysis, vol. 68, no. 3, pp. 187-188, 2010

Price: EUR 27.50
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