A new approach to estimate the critical constant of selection procedures.
On the signless Laplacian spectral characterization of the line graphs of -shape trees
A graph is determined by its signless Laplacian spectrum if no other non-isomorphic graph has the same signless Laplacian spectrum (simply is ). Let denote the -shape tree obtained by identifying the end vertices of three paths , and . We prove that its all line graphs except () are , and determine the graphs which have the same signless Laplacian spectrum as . Let be the maximum signless Laplacian eigenvalue of the graph . We give the limit of , too.
Some Theorems on Codazzi Tensors.
An Extrinsic Rigity Theorem for Minimal Surfaces in S3.
Calabi conjecture on hyperbolic affine hyperspheres (2).
Pricing exotic options under a high-order Markovian regime switching model.
Refinements of inequalities between the sum of squares and the exponential of sum of a nonnegative sequence.
On uniqueness theorems of meromorphic functions concerning weighted sharing of three values.
Oscillation results on meromorphic solutions of second order differential equations in the complex plane.
An entire function sharing one small entire function with its derivative.
Modelling of the automatic depth control electrohydraulic system using RBF neural network and genetic algorithm.
Affine maximal hypersurfaces
This paper is part of the autumn school on "Variational problems and higher order PDEs for affine hypersurfaces". We discuss affine Bernstein problems and complete constant mean curvature surfaces in equiaffine differential geometry.
On a kth-order differential equation
We prove a theorem on the growth of a solution of a kth-order linear differential equation. From this we obtain some uniqueness theorems. Our results improve several known results. Some examples show that the results are best possible.
On uniqueness of meromorphic functions sharing three values and a set consisting of two small meromorphic functions
We deal with a uniqueness theorem of two meromorphic functions that share three values with weights and also share a set consisting of two small meromorphic functions. Our results improve those by G. Brosch, I. Lahiri & P. Sahoo, T. C. Alzahary & H. X. Yi, P. Li & C. C. Yang, and others.
Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivatives
We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z. Yang, J. P. Wang, J. M. Chang & Y. Z. Zhu, and others. Some examples are provided to show that our results are the best possible.
Results on weighted sharing of values for meromorphic functions
We prove some results on uniqueness of functions with three shared values. Our results improve those given by H. X. Yi, I. Lahiri, T. C. Alzahary & H. X. Yi, and other authors.
Localic Katětov-Tong insertion theorem and localic Tietze extension theorem
In this paper, localic upper, respectively lower continuous chains over a locale are defined. A localic Katětov-Tong insertion theorem is given and proved in terms of a localic upper and lower continuous chain. Finally, the localic Urysohn lemma and the localic Tietze extension theorem are shown as applications of the localic insertion theorem.
On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial
We prove a theorem on the growth of nonconstant solutions of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its linear differential polynomial share a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results in this paper are the best possible.
Some results on cascade discrete-time systems.
A two-step Monge-Ampère procedure for solving a fourth order PDE for affine hypersurfaces with constant curvature.
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