Asymptotic Analysis - Volume 13, issue 1

Authors: Aganović, I. | Marušić-Paloka, E. | Tutek, Z.

Article Type: Research Article

Abstract: The equilibrium displacements corresponding to the Koiter's shell model, where the sequence of shells is considered as a slight periodical perturbation of a middle surface of a plate, are shown to converge to the equilibrium displacement of the classical plate model. Corresponding corrector-type results are proved by the homogenization method.

DOI: 10.3233/ASY-1996-13101

Citation: Asymptotic Analysis, vol. 13, no. 1, pp. 1-29, 1996

Authors: Shubov, Marianna A.

Article Type: Research Article

Abstract: We consider a semi-infinite and a finite string, both with a nonconstant density and subject to a positive viscous damping. In the first case it is assumed that both the density nonhomogeneity and the damping are concentrated on the finite interval [0,a]. Our main results are explicit asymptotic formulas for the resonances in the case of the semi-infinite string and for the eigenvalues in the case of the finite string. These formulas are obtained for three types of the density ρ(x): (i) ρ is bounded on [0,a] and (in the case of semi-infinite string) has a finite jump at x=a; …(ii) ρ(a−0)=∞ (infinite condensation at x=a); (iii) ρ(a−0)=0 (infinite rarefaction at x=a). The result of this work is the first step in the spectral analysis of non-selfadjoint operator pencils generated by the equation of a nonhomogeneous damped string. Based on the results of this paper it will be shown in our forthcoming work that the systems of the quasimodes (of the infinite string) and the eigenmodes (of the finite string) have the Riesz-basis property. Show more

DOI: 10.3233/ASY-1996-13102

Citation: Asymptotic Analysis, vol. 13, no. 1, pp. 31-78, 1996

Authors: Degonda, P. | Poupaudb, F. | Schmeiserc, C. | Yamnahakkib, A.

Article Type: Research Article

Abstract: The aim of this work is to extend the mathematical model of a Schottky diode proposed in [5]. This model relies on an asymptotic analysis of the Vlasov–Poisson system. In [5], a one-dimensional model was derived. In the present paper, a three-dimensional model is investigated.

DOI: 10.3233/ASY-1996-13103

Citation: Asymptotic Analysis, vol. 13, no. 1, pp. 79-94, 1996

Authors: Sibuya, Yasutaka | Tabara, Tatsuhiko J.

Article Type: Research Article

Abstract: We will show how to calculate a Stokes multiplier concerning subdominant solutions of a second-order differential equation with polynomial coefficients without utilizing any suitable integral representation of its solutions. This equation is reducible to a biconfluent Huen equation. We use results of isomonodromic deformation of the differential equation.

DOI: 10.3233/ASY-1996-13104

Citation: Asymptotic Analysis, vol. 13, no. 1, pp. 95-107, 1996