We consider the problem of comparing two treatments on multiple endpoints where the goal is to identify the endpoints that have treatment effects, while controlling the familywise error rate. Two current approaches for this are (i) applying a global test within a closed testing procedure, and (ii) adjusting individual endpoint p-values for multiplicity. We propose combining the two current meth...

Spectral approximations for ODEs in unbounded domains have only received limited attention. In many applicable problems, singular initial value problems arise. In solving these problems, most of numerical methods have difficulties and often could not pass the singular point successfully. In this paper, we apply the sinc-collocation method for solving singular initial value problems. The ability...

I compare giving decisions elicited using the sequential and strategy methods. With both methods, subjects choose gift amounts for four wealth conditions. In the wealth condition with the lowest giving, the difference in giving between methods is not significant. In the other three conditions, giving is higher with the strategy method than with the sequential method. Regarding the effects of th...

Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat’s functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a ...

In Wilhelm Fushchych’s address, ”Ansatz ’95”, given to the first conference ”Symmetry in Nonlinear Mathematical Physics” [1], he listed many differential equations on which he and others had done some symmetry analysis. In this talk, the present author treats two of these equations rather extensively, using differential forms to find the symmetries, based on a method by F. B. Estabrook and hims...

The solvability of forward-backward stochastic differential equations with absorption coefficients is studied by the successive approximation method. The existence and uniqueness of an adapted solution are established for the equations which allow the diffusion in the forward stochastic differential equations to be degenerate. The authors also study their connection with partial differential eq...

In this exposition, a technique to recover internal control on a distributed parameter system is reported. The system is described by 1-D KleinGordon partial differential equation with a time-varying parameter. We would like to recover the internal control applied to the system if we know some limited information about the output. We use a method called sentinel method to recover the internal c...

It was recently demonstrated [1] that a 3D object can be reconstructed from a single measurement of 2D diffraction intensity pattern by the technique called “Ankylography”. However, “...rather than sparking a revoution in imaging, the idea has raised objections from researchers who say that it amounts to pulling a threedimensional rabbit out of a two-dimensional hat” [2] (see also [3, 4]). To t...