Linear elasticity theory free from diffeomorphism: plane deformation

Строится плоская модель линейно упругого тела, в которой постулат о диффеоморфизме (предположение о гладкости поля перемещений) значительно ослаблен. Вместо одного поля перемещений, которое фигурирует в классической модели, вводятся два гладких поля перемещений. Рассмотрены постановки краевых задач, доказана теорема единственности. The authors create a two-dimensional model of a linearly elastic body at considerably weakened postulate of diffeomorphism-supposed smoothness of field of displacements. One field of displacements as in the classical model is replaced by two smooth fields of displacements. The authors discuss formulations of boundary value problem and prove the unicity theorem

Difference analogues of the second main theorem of zero-order meromorphic mappings for slowly moving targets

In this paper, we show some Second Main Theorems for zero-order meromorphic mappings intersecting slowly moving targets in [Formula: see text] by considering their [Formula: see text]-Casorati determinant. Our results are [Formula: see text]-difference analogues of Cartan’s Second Main Theorem for moving targets. As an application, we give an unicity theorem for meromorphic mappings of [Formula: see text] into [Formula: see text] under the growth condition “order [Formula: see text]”.

A Note on a Unicity Theorem for the Gauss Maps of Complete Minimal Surfaces in Euclidean Four-space

The classical result of Nevanlinna states that two nonconstantmeromorphic functions on the complex plane having the same images for five distinct values must be identically equal to each other. In this paper, we give a similar uniqueness theorem for the Gauss maps of complete minimal surfaces in Euclidean four-space.

Unicity of Entire Functions concerning Shifts and Difference Operators

We prove a unicity theorem of entire functions that share two distinct small functions with their shifts. The corollary of the theorem confirms the conjecture posed by Li and Gao (2011).

Unicity theorem for entire functions sharing one value

In the paper, we study the uniqueness of entire functions concerning certain nonlinear differential polynomials sharing one value and obtain two theorems which improve and supplement the related results due to X.Y. Zhang, J.F. Chen and W.C. Lin [Comput. Math. Appl., 56(2008), 1876-1883] and J.F. Chen, X.Y. Zhang, W.C. Lin and S.J. Chen [Comput. Math. Appl., 56(2008), 3000-3014].

UNICITY OF MEROMORPHIC FUNCTIONS SHARING SOME SMALL FUNCTIONS REGARDLESS OF MULTIPLICITIES

The purpose of this article is twofold. The first is to prove a unicity theorem for meromorphic functions sharing five small functions regardless of multiplicities. This is an improvement of the results of Yahua–Jianyong, Yao and Yi, Thai and Tan. The second is to prove a finiteness theorem for meromorphic functions that share three small functions ignoring multiplicity and another small function with multiplicities truncated by 2.