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Stochastic eigenvalue problems of linear continuum

Dupal J.

Modelling and Optimization of Physical Systems

2009

z. 8

29--36

The paper deals with an approach to the Solution of the eigenvalue problem of the linear continuous vibrating system described by some parameters having random character. Our attention will be payed to continua whose behaviour can be characterized by seif adjoint Operators. Result of the calculation will be expected value and dispersion of eigenvalues. Knowing the Statistical characteristics of the input random parameters and applying the six sigma criterion we can determine maximal and minimal values of eigenvalues in the probability sense.

Order properties of the space of A-linear operators

Turan B.

Demonstratio Mathematica

2006

Vol. 39, nr 2

429-438

Let A be an f-algebra with unit and L, M be two topologically full f-modules on A. We prove that the space of A-linear operators Lb(L, M; A) is a Riesz space and we study the order properties of the adjoint operator from Lb(L, M; A) to Lb(M~, L~; (A)^n). The main result given here describes the centre of the space of Lb{L, M; A).