In this paper static analysis of orthotropic functionally graded material (FGM) cylinders with finite length was carried out by a mesh-free method. MLS shape functions are used for approximation of displacement field in the weak form of equilibrium equation and essential boundary conditions are imposed by transformation method. In this simulation, an ax symmetric model is used. Mechanical prope...

The free vibration analysis of the functionally graded cylindrical shell panels  with and without cutout is carried out using the finite element method based on a higher-order shear deformation theory. A higher-order theory is used to properly account for transverse shear deformation. An eight noded degenerated isoparametric shell element with nine degrees of freedom at each node is considered....

For linear time-varying systems with bounded system matrices we discuss the problem of stabilizability by linear state feedback. For example, it is shown that complete controllability implies the existence of a feedback so that the closed-loop system is asymptotically stable. We also show that the system is completely controllable if, and only if, the Lyapunov exponent is arbitrarily assignable...

We consider the roughness properties of NYSE (New York Stock Exchange) stock-price fluctuations. The statistical properties of the data are relatively homogeneous within the same day but the large jumps between different days prevent the extension of the analysis to large times. This leads to intrinsic finite size effects which alter the apparent Hurst (H) exponent. We show, by analytical metho...

Suppose that R is a two-dimensional normal standard-graded domain over a finite field. We prove that there exists a uniform Frobenius test exponent b for the class of homogeneous ideals in R generated by at most n elements. This means that for every ideal I in this class we have that f b ∈ I [p ] if and only if f ∈ I . This gives in particular a finite test for the Frobenius closure. On the oth...

‎Some functional inequalities‎ ‎in variable exponent Lebesgue spaces are presented‎. ‎The bi-weighted modular inequality with variable exponent $p(.)$ for the Hardy operator restricted to non‎- ‎increasing function which is‎‎$$‎‎int_0^infty (frac{1}{x}int_0^x f(t)dt)^{p(x)}v(x)dxleq‎‎Cint_0^infty f(x)^{p(x)}u(x)dx‎,‎$$‎ ‎is studied‎. ‎We show that the exponent $p(.)$ for which these modular ine...

We classify " nice " loop envelopes to Bruck loops of 2-power exponent under the assumption that every nonabelian simple section of G is either passive or isomorphic to PSL2(q), q − 1 ≥ 4 a 2-power. The hypothesis is verified in a separate paper. This paper is a continuation of the work by Aschbacher, Kinyon and Phillips on finite Bruck loops [AKP]. In [BS3] we will apply these results and get ...

In this note, we consider the following equations involving negative exponent: ∆u = |x|αu−p, u > 0 in Ω ⊂ R and ∆u = u−p − 1, u > 0 in Ω ⊂ R where p > 0. Under optimal conditions on the parameters α > −2 and p > 0, we prove the nonexistence of finite Morse index solution on exterior domains or near the origin. We prove also an optimal regularity result for solutions with finite Morse index and ...

We consider a general notion of snowflake of a metric space by composing the distance with a nontrivial concave function. We prove that a snowflake of a metric space X isometrically embeds into some finite-dimensional normed space if and only if X is finite. In the case of power functions we give a uniform bound on the cardinality of X depending only on the power exponent and the dimension of t...

We demonstrate that the fraction of pattern sets that can be stored in singleand hidden-layer perceptrons exhibits finite size scaling. This feature allows one to estimate the critical storage capacity ac from simulations of relatively small systems. We illustrate this approach by determining ac , together with the finite size scaling exponent n, for storing Gaussian patterns in committee and p...