The diagnosis of many dental anomalies would be impossible without radiographs, because of their location in the mineralized tissues (bone and teeth) or because they are hidden under the surface of the cortical plate that cannot be seen during a visual examination in dental practices. The use of radiographs is indispensable during the treatment phase, e.g., during root canal treatment to monito...

In a recent article, W.-S. Hou and G.-G. Wong [Phys. Rev. D 67, 034003 (2003)] have investigated the spectrum of two-gluon glueballs below 3 GeV in a potential model with a dynamical gluon mass. We point out that, among the 18 states calculated by the authors, only three are physical. The other states either are spurious or possess a finite mass only due to an arbitrary restriction of the varia...

In this paper, we introduced a novel variational iteration method (VIM) for solving fractional wave–like and heat–like equations in a large domain which is improved by adding an auxiliary parameter. The suggested method is very effective and we can control the convergence region very easily. By solving some fractional wave-like and heat-like equations with the proposed method and comparing with...

We present a proportional reaction strategy in a repeated Cournot duopoly game with discounting. The strategy is based on increasing the total output quantity in proportion to deviations from a cartel point. Such a strategy was originally proposed by Osborne (1976) for a static oligopoly. We show that the resulting equilibrium is subgame perfect and weakly renegotiation proof when the possible ...

In this paper, solutions of one-phase direct and inverse Stefan problems are presented. The direct problem consists in a calculation of temperature distribution and of a function which describes the position of the moving interface, whilst the inverse problem consists in a calculation of temperature distribution as well as in the reconstruction of the function which describes the temperature di...

A mixed type dual for multiobjective variational problems is formulated. Several duality theorems are established relating properly efficient solutions of the primal and dual variational problems under generalized (F,ρ)-convexity. Static mixed type dual multiobjective problems are particular cases of these problems.  2004 Elsevier Inc. All rights reserved.

In this short note we prove the convexity of minimizers of some variational problem in the Gauss space. This proof is based on a geometric version of an older argument due to Korevaar.

We introduce a class of variational principles on measure spaces which are causal in the sense that they generate a relation on pairs of points, giving rise to a distinction between spacelike and timelike separation. General existence results are proved. It is shown in examples that minimizers need not be unique. Counter examples to compactness are discussed. The existence results are applied t...

We state a combinatorial conjecture, which, if true, yields a simple solution to the multiplier version of the inverse problem of the calculus of variations. With the help of a computer, we verified our conjecture for 3 ≤ n ≤ 100, and thus found necessary and sufficient conditions for a 2nth-order scalar ordinary differential equation ∂2nu/∂x2n = f (x, u, ∂u/∂x, . . . , ∂2n−1u/∂x2n−1), 3 ≤ n ≤ ...