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Asymptotic Analysis - Volume 4, issue 2

Purchase individual online access for 1 year to this journal.

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.

Continuation and limit properties for solutions of strongly nonlinear second order differential equations

Authors: Pucci, Patrizia | Serrin, James

Article Type: Research Article

Abstract: This paper deals with continuation, boundedness and asymptotic behavior of solutions of second order ordinary differential equations of variational type. The equations considered are nonlinear both in the solution variable and in its derivative. For equations arising from the degenerate Laplace operator, precise asymptotic behavior is established, along with various monotonicity and oscillation properties. Similar results are obtained also for other classes of nonlinear second order differential operators. The results of the paper also include generalizations of theorems of Fowler, Levin and Nohel, and Artstein and Infante. The main tool of the paper is a variational identity which supplies a … Show more

DOI: 10.3233/ASY-1991-4201

Citation: Asymptotic Analysis, vol. 4, no. 2, pp. 97-160, 1991

Price: EUR 27.50

A singular perturbation of the Cahn–Hilliard equation

Authors: Debussche, Arnaud

Article Type: Research Article

DOI: 10.3233/ASY-1991-4202

Citation: Asymptotic Analysis, vol. 4, no. 2, pp. 161-185, 1991

Price: EUR 27.50
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