Qualitative analysis for solutions of a class of nonlinear ordinary differential equations
The boundary value problem (BVP) for a class of nonlinear ordinary differential equations is examined. It can be used to describe the eversion problem for a spherical shell composed of a class of transversely isotropic incompressible Mooney-Rivlin materials. The solutions of the nonlinear equation describing the relation among deformed thickness, initial thickness and material parameters of the spherical shell are obtained. The effects of structure parameter and material parameters on the thickness of the everted spherical shell are discussed by numerical examples.
On the eversion of incompressible elastic spherical shells
Abstract. We consider the problem of everting spherical shells of incompressible, isotropic hyperelastic material. Firstly, we show that there exists a unique spherically symmetric everted solution for all shell thicknesses provided only that the material satisfies the Baker--Ericksen inequalities. We also give a sufficient condition, satisfied by many materials, which ensures that the shell contains a cavity on eversion. Secondly we look at the bifurcation problem. We find that thicker shells will undergo a bifurcation on eversion and so we would only expect to see spherically symmetric solutions for thinner shells.

The Meaning of Wisdom in James: Examination of a Hypothesis
The following essay is an attempt to examine the manner in which the writer of the Epistle of James uses the concept of Wisdom; and to study the suggestion that the way in which he uses it is more or less interchangeable with that in which other writers of the New Testament use the concept of the Holy Spirit.