Solution of a problem of Z. Daróczy,J. Jarczyk and W. Jarczyk and generalization of a theorem of R. Ger and T. Kochane

We generalize a theorem proved by R. Ger and T. Kochanek [4]. Hence we obtain the solution of a problem posed by Z. Daróczy, J. Jarczyk and W. Jarczyk [2].     

“Small sample properties of ML,COLS and DEA estimators of frontier models in the presence of heteroscedasticity” by A.N. Bojanic,S.B. Caudill and J.M. Ford,European Journal of Operational Research 108, 1998, 140–148: A comment

This paper comments on the paper by Bojanic et al. (1998) in this Journal.     

Applied theories of the plasticity of porous, “unequally strong,” and anisotropic media. 2. Basic results

Conclusions We obtained practically convenient modifications of the theory of flow and TSEPD [3] for porous and anisotropic media with different strength. These qualities are taken into account with the aid of the respective stress and strain intensities. The fundamental hypotheses are confirmed by verification in known experiments with polymer and composite materials. As an example we examined elastoplastic tension of an anisotropic specimen and the limit state of an internally loaded disk, both made of materials with the mentioned qualities.Communication 1, see [2].Translated from Mekhanika Kompozitnykh Materialov, No. 3, pp. 426–432, May–June, 1986.     

Asymptotic analysis of P.D.E.s with wide–band noise disturbances,and expansion of the moments

We present an asymptotic analysis -in the “ white-noise limit”- of a linear parabolic partial differential equation, whose coefficients are perturbed by a wide-band noise. After having studied some ergodic properties of a class of diffusion processes, we prove the convergence in law towards the solution of an Ito stochastic P.D.E. We then establish an expansion in powers of Δ ( 1/Δ being a measure of the bandwith of the driving noise) of the first moment of the solution     

Calculation of poles of meromorphic functions with q-d,r-s and ε-algorithms. Acceleration of these processes

We study (Sections 1 and 2) the speed of convergence of the q-d algorithm to poles of a meromorphic function in order to accelerate it.In Section 3 and 4, we show that the quotient of two successive vertical terms of two well known algorithms (r-s and ε) approaches also these poles. At last, a theorem of acceleration is given.     

Supplement to the paper by A. B. Kiselev “Analytical solutions of problems of the adiabatic compression of thick-walled spherical and cylindrical shells made of incompressible viscoplastic material”. JAMM Vol. 76, No. 4, pp. 489–492, 2012

The problem, which differs from that formulated previously,1, 2 by having an external dynamic load, is considered. Exact solutions are obtained using the same assumptions and the same method.